This content is a comprehensive guide to a company's recruitment process and a detailed walkthrough of quantitative aptitude and logical reasoning questions, likely for a job interview or entrance exam. It covers the exam structure, technical skills required, and problem-solving strategies for various topics.
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Fine. So in this arrow dry okay the
first round is quant I don't I need to
just specify quant only no reasoning
also reasoning hardly one or two
questions max to max it's quant only and
totally 30 questions they are giving
it's online exam they're going to
conduct 30 questions time okay and 30
minutes or 45 minutes it depends
sometimes for the sen college they give
30 minutes time sine call is 45 minutes
maximum time they give 30 questions pure
no verbal
reasoning also one or two hardly but max
to max it's all about quant that to the
area we are focusing more on boards and
streams time and distance ages concept
aages right so we'll see all those one
by one assume that people clear the
round one every round is elimination by
default let us assume first round you
cleared then they okay next round is
technical round where more focus is on
Java they want more profiles and Java.
Some people if you're very convenient
and super in Python you mention them in
the interview they'll go for J Python
also but more requirement is on Java
area so mention okay team ready with
Java no sir I am not much clear with
Java I'm very much quant in Python means
but less position that risk also you
need to take okay you just mention them
but they're asking coding
questions in exam they clearly they're
asking about coding questions so you
have to be very clear certain simple
based aptitude based questions also
they're asking in interview right and
third one is HR round where it's for
self introduction and your background
information about company they're asking
that's a routine case but this is the
main hurdle everyone can understand
round two is what danger okay every
round is elation round and they have a
good numbers as well okay we can expect
close to 50 also depends on your
performance we can expect 50 plus offers
also chance is there But depends on your
performance again. So you please check
it out. Okay. Focus more on Java. Okay.
Questions that as man pattern based
they're asking questions related to
pattern based in pattern based
questions. And I'll just open that
experience file as well. one of the
student who already attended they shared
that. So here see here it was about
Python for this
candidate. First round as usual aptitude
which was hard with full of quantitative
questions no reasoning no work but
second round was technical round. In
this round they asked about Python and
full full network networking concepts
because I am from cyber security the
cand from cyber security so they focus
on Python but the more positions are in
Java that we got a clear info already
and yeah regarding salary
expectations bond and family details HR
and about is all about that basic things
right bond is that 2 years bond is there
right and yeah this is what they're
focusing on your entry Java is high priority
priority
oops concepts mult multi-threading okay
collection framework this document I'll
share in the group don't worry this
document I'll share it no issues this is
what they are asking more in the
interview point of view no nothing in uh
basic round one they're asking more in
your interview related to Java concept
these are the different things we need
to go last this is what paper based
programming average of two
numbers pattern questions SQL queries
and joining SQL queries is there for
your cognizant drive as well, right? So
same thing here also they're asking SQL
moderate priority high priority and Java
again see basic SQL commands and coding
problems they given see Fibonacci
series prime number string palendrome
armstrong number reverse number review
your projects also what is your role
what are the challenges you face HR
round up around 30 minutes right so
hobbies company related research you
should know where company is located if
I'm not wrong it's located in US as well
in Pune as well as US also it's there
this company just go through that okay
what are the values and all so this is
what clearly that info I'll share this
everything in detail but sir here it is
about Python but as I mentioned they
have more requirement and Java Java
related questions and coding and SQL
these three areas you focus yeah one of
the student got Python fine that's a
different case but it's not for all more
requirement in Java the document I'll
share for you later you can go ahead now
let me enter into that
our quant related questions okay the
first question related to simplification
so what's the
answer no need to note down the question
just see the question how to solve this
I believe last line is it visible screen
no problem right yeah this square root
is inside it's actually again that is a They
better. Yeah, this is the question.
So, what is the
answer? You know this is 12, right? So
and again this value will be 52 + 12 64
it will be 8 <unk>256 means we'll get it
as 16. So option D is the answer. It's a
very basic option D first question. Okay
simplification related basic question
only 16 is the answer. Hope you
understand right. It's a basic stuff.
See you can easily guess the answer
also. Let me know if it is only 160 is
there what is root 6 approximately lies
between roo<unk>4 is how much? 2. Roo<unk>
Roo<unk>
9<unk>4 is 2<unk> 9 is 3. Root 6 must be
between greater than 2 and less than
three. less than are okay less than or
equal to because there is plus addition
is there only roo<unk> 6 means less than
3 but here root 6 plus roo<unk> 6 plus
roo<unk> 6 like that it's keep going on
now okay it's not six actually everybody
can understand it's not six it is not
roo<unk> 6 the answer may be three or
2<unk>3 answer is actually three sir how
it's root 6 is less than three okay but
for that you are adding some part 66
Or else let's say okay roo<unk> 6 + 2
something means it will be roo<unk>8
right roo<unk>8 means it should be this
2<unk>3 y eliminated is it's more than
three sir what is root3
value 1.732 if it is 1.7 1.7 into 2 is
3.4 for more than three it's
wrong very basic okay it should be close
to three or less than three it cannot
cross more than three like that you can
help me I'll give you original method
the shortcut method is 6 is 2 into 3 can
I write adjacent numbers 2 into 3 if it
is positive answer must be three if it
is negative answer must be two I'll give
the original method later if suppose
what I mean to climb if it is plus
symbol keep going it should be three if
symbol then it should be
two that's the shortcut. Now can anyone
say what is roo<unk> 20 + roo<unk> 20 + roo<unk>
20 + 1 up to infinite answer will be
five 20 can be written as 4 into
5 okay adjacent numbers product when it
is positive it should be five when it is
negative four sir I don't want all this
I want what is the internal idea you are
giving a shortcut okay six means 2 into
Positive means higher value, negative
means lower value. 20 is 4 into 5.
Positive means higher value, negative
means lower value. I understand sir
then. Okay. If suppose they get change,
what is the idea behind this question?
Okay, we'll just see that idea behind
see root 6 plus roo<unk> 6 plus roo<unk>
6 plus roo<unk> 6 up to infinite times
it exist. Right? Let us consider this is
equal to x. I'm giving you the method
behind this question. so on up to X.
I'll consider this as X right and here
if you look this area this is also like
X only<unk> 6 + roo<unk> 6 + roo<unk>6 I
can take inside one also X then <unk>6 +
X = X squaring on both
sides 6 + X
= X² then put that in one side we'll get
a quadratic equation x²
- x =0 0 - 6 can be written
as -3 into 2. -3 into 2 how
much? - 6 - 3 +
2 - 3 + 2 is - 1. This is also
satisfied. X before coefficient also
need to satisfy. Now one of the
important shortcut in quadratic
equation. X² before coefficient is 1.
And you got here minus3 and +2 means
directly x is 3, -2 will
come. You don't need to again split it
and do it. Okay. Once the x² coefficient
is 1. Once you split if it is -3 and +2
answer will be + 3, -2. If you split you
got 2 and 3 means answer is -2 - 3.
Opposite symbol will come. But provided
x square coefficient
is when you can apply this shortcut x
square coefficient 1. If x square
coefficient is 1 after skipping directly
you can write the answer. If it is not
one then we have to do taking x1 inside
x - 4 here x + 4 something like that you
can pull it out that's what you did
already in your sixth and seventh
standard that all things you have to do.
Now I have two values for x 3 -2 -2 is
mathematically okay but logically for
this question this is not correct
because square root of positive number
should be
positive square root of six square root
of minus 6 will be imaginary I I will
come we don't get square root of any
number as negative you don't get you
take any number do square root you don't
get negative only possibility is root of
i² square that I square is minus 1 but
root of I square will be again not
possible you will get I only like that
only thing square root of something will
be positive or in terms of I it won't be
possible like this so answer must be
three this is after doing all this hard
work but our shortcut is very simple
write given number as product of two
adjacent numbers if it is positive
higher number negative means lower
number if it is 72 72 72 like that then
there 9 if it is positive negative means
8 what is roo<unk> 72 plus roo<unk> 72
plus roo<unk> 72 72 can be as 8 into 9
don't split 3 into 24 two adjacent
numbers product you split it as two
adjacent numbers product then you decide
don't split just like that 6 as 1 into 6
answer will be + 6 + 1 no Two adjacent
numbers product you have to write. Okay,
done with this question. Now let's see
other question related to profit and
loss. First you two are simplification.
Now let's see about this profit and loss question.
If I crossverify all the questions, it
seems like from SSC, CGL previous
papers, they taken all these questions
or you
can see SSC CGL previous
papers staff selection commission. Okay.
Common graduate level CGL
related. Now this
question third
one a dishonest dishonest salesman is
selling the goods at 12.5% loss. He's
selling at loss but he's using false
weight. Instead of 36 g he's giving only
28 g for you. Now what is his percentage
He want to sell it the product for loss.
Okay. He initially is selling it for
loss. 12.5% loss but he is using a false
weight. When they use false weight he'll
get some gain for
that. Now first one loss second one
gain. Overall what is the result is the
question 100 rupees product he want to
give it for 87.5 only. But instead of
giving KC he's giving less weight. He's
giving 36 g. He's giving only 28 g. See,
you see that line clearly uses 28 g
weight. He's using less weight instead
of 36 g. So there is profit definitely
because of that. Now guys, one simple
thing I'll just ask you because of this
get? Live about first one. If you use 36
g instead of 28 g, what will be the profit?
Yeah, only this one you just talk. I
don't want about the entire scenario. I
want only first this part 28 g weight
instead of 36 g. Right? Is it profit or
loss? First of all, profit. Everybody
agree right it's a profit right? How
much profit is seen? Okay. When it is
profit, selling price must be higher,
cost price must be less. I'm talking
only about this weight dear. I'm not
talking about the entire scenario. I'm
talking now only on this
part. So why you taking SP 36 28? When
you say profit selling price must be
more than cost price. There are two
values 36 and 28. Highest value given
for selling price. Lowest value for cost
price. Then what will be the profit here?
here?
to what value
denominator CP costs 20 into 100 right
so this is 4 2 * 4 7 times 200 by 7%
profit so first one you have a loss
profit now I'll go for the entire
scenario First I complete this part I
understand that okay I can say this
question is
like in 12.5% loss then you are getting
200 by 7% profit then what is the overall
overall
result a product initially you are
getting loss of 12.5% then you got 200
got because
of false weight. Right? Now, what is the
profit or loss? They're
asking, right? Now,
listen, we can go simply in this
fashion. Consider it is 100 rupees.
12.5% loss means it will be
87 5
87.5 200 by 7% means 2 by 7.
200 percentage means we have to divide
100 it's nothing but 2 by 7 extra means
selling price is 87.5 into 1 + 2x 7 how
+ why 1
+ because of profit what is the 2x
7 generally if it is 10% I'll write 1
10% % 100% means one extra 10%. Here
instead what I'm writing 100% mean is 1
plus the 200 by 7% is 2 by 7. If you
want percentage into fraction divide by
100 that 100% will cancel. So SP is
this. So what's the value? Then we can
decide the profit
percentage cost price is
100 selling price how much now? 87.5
87.5
into 9 /
7 then 7 12.5
* 1 8 + 4.5
112.5 guys cost price 100 selling price
112.5 what is the profit
percentage yes
sir 12.5%
12.5% gain option B is correct. The
first one is only to understand okay the
profit because of this false weight.
Next we went for overall he want to sell
it for 12.5% loss but because of using
false weight he's getting certain profit
what is the combined effect both
combined if it is 100 rupees because of
12.5% loss I have to selling for 87.5
due to the false weight the selling
price is increased we can say that's
112.5 become now 100 you are selling for
112.5 mean it's 12.5% gain
So we have a loss okay initially but
here finally it become profit. So after
that all changes. So we can find it's 12.5%
12.5%
gain. Now let's see about the next
question. Again profit loss. But this is
very easy question. I'm expecting answer
from answer for this. Your cost price
100 selling price 120 both are per cage
only. So as quantity is same we can
directly decide 20% profit.
No much discussion. If this is per 500 g
that is kg then we have to do certain
things but both are 1 k. 1 kg of apple
there 120 per k both are per k only. So
one. Length and breadth of a rectangle
are increased by 8% and 5% respectively.
Then what is the area of the rectangle
increased by how much?
Area of rectangle is length
into bread. Length increased by 8%.
answer? Area. What is the percentage
rectangle 13.4%.
So there are shortcuts as well like see
there are two changes happening what is
the result is we can go with this
formula also x + y + xy / 100 x is this
is increase means plus c y also next
product also increase plus only then 8
into 500 what is 18 into 5 40id 100
means4 so 13.4 4 is the answer. This is
one shortcut method to solve this
question. I'll give the other method as well.
13.4%. X + Y + 100. But there are two
this. No sir, we do directly. Fine.
Yeah, we can do it directly. Like length
increased, breadth increased. If length
increase, area will increase or not. If
bread increase, area will increase or
not. Yes or no? Now let us say area is
100. I'm giving you the other method. My
dear friend, see this one method is that
formula. Some people say sir why we have
to buy formula? Okay, we'll go with the
other method. Area 100 initially length
increased by 8%. Then what will be area?
1 8 because area directly proportional
to length. If length
increase area must be increase agree
right then breadth increased
by 5%. If bread increase area will
decrease or increase area
will increase or decrease it's directly
proportional definitely area will
increase. Now area is not 8. For 1 8 10% is
is
10.8. 5% is
is
5.4. 1 8 + 5.4
is what's the value? 113.4. Right? So
100 become 113.4 means it's nothing but 13.4%
increase. Now what is the advantage in
this second method? So first you given
formula X + Y + XY by 100 then why you
are giving another method. If suppose
this is regarding volume LBH three
parameters then right side one will be
no use. Right side can be applied only
for two or type. If it is three sir how
can you use the right seven if it is
three changes first apply for two
changes you'll get the result that
result you put it for the third
one if there are three changes if you
want to apply that right side formula x
+ y + xy by 100 for first two you apply
you got some result that one with the
third one then you'll get the result
it's a double time or else apply the
left side one length increase okay
breadth increase okay height increase
okay what is the change it will keep
going finally you can decide the answer
left side one you can keep going there
is no problem that's why I'm giving you
two methods some people feel right side
is easy some will feel left side
whatever it is your wish but understand
what is happening area is directly
proportional to those parameters when
both are changing okay then area will
question see the sixth one percentage is related
previous one also percentages. This one
this here out of the total number of
one/ird one by third are in hotel X and
the remaining are in hotel Y. If 20
people from hotel Y are shifted to hotel
X then the number of people in hotel X
become 50% of the total number. See out
of total you can clearly observe one/ird
is initially but due to 20 people
shifted to
this. Now X become half of the total. X
is initially
what of total. Now the 20 people
shifted. Now x
become half of the
total. Understand that first line 1 by
3% is 1/3. 33 1 by 3 is 1/3. Okay. Initially
Initially
1/3 then 20 people shifted from country
sorry hotel y to hotel x. Now x become
50% of that. Right? Then question is if
20 play players from out legs are
shifted to hotel then the number of
players in hot legs become what% of
total? Okay. First can you find total
from this? Is that
possible? What's the difference between
here and here is xx will cancel 20 = 1 -
de total is 120. So what is the
scenario? Total
120 14 x
x
18 y Now you understand 20 shifted from
y to x then 60
60 both will be equal that's what half
50%. Initially x is 40 y is 80. If
suppose 20 people shifted from y to x
then 60 and 60 both are equal mean x is
50% of the total. That's what happening.
Fine. Now what they're
asking if 20
players shift from X to Y then what will
be their
next after
shifting? X will be only 20. Now out of total
total
number total is how much? 120. Total
will not
disturb. Total will be 120 only. Whether
they are in X or Y total will be 120. So
100. 16.67
16.67
percentage. Many will leave this
question in exam because of the
percentages and all. You see the
question very simple question. Okay. But
many will leave because of the length or
maybe that 100x3 something 100 by 3%
mean x is 1/3. Now x become half after
adding 20 to that and when you take
difference between these two equations
difference if you take xx will get
cancel left side will be 20 right side
will be half -
1x3/ - 1x3 is 1x
6/ - 1x3 1x 6 of total so total will be
equal to 120 right so let's see about
the next one hope you understand option
Now compound interest related simple
interest and compound
interest. Question number
number seven.
seven.
Okay. This is seven. Let it be. This is
eight. Now seventh
one. Compound interest on rups 2,500 for
2 years at the rate
of 4% peranom. Right? So if you recall
compound interest for first year
compound interest for second year
directly how to do we given there is
some formulas and all but calc not
allowed when calculator not allowed for
this drawing. So we can do directly like
first year is interest is calculated on
principle. Okay principal is how much
here? What is the principle?
principle?
2500 what is the interest? So 4% of
2,500 is 100
year 100 answer is 2 4 anyhow right
second year sir second year is first
year plus 4% for this what is 4% for 100
is 4 1 4 2 means we have to add
this first second is 1 combine is 2 4
answer is 2 4 now sir
You said long back one formula if you
want to do here you can do but not
totally understand 2500 into 4% whole
square minus 2500 I can write this and I
can say yes I'm done but in exam whether
you are able to solve that is a problem
this is 200 into 4% by not
This because of 4% rate of interest
whole square
because 2 years minus this
because why -
2,500 because they're asking only
interest. This is compound
amount. You want interest means we have
remove the
principle. Right? So that's what 24 is answer.
answer.
Next question. Eighth
one 10,000 you want compound interest
2,00 how many is
required? 2
years 10,000 it should produce 2,000 as
the interest. This is compound interest
my dear friend. For that how much time
required? First year what will happen?
1,000 rupees 10% of 10,000 which will be
year 1,000
+ 10% of this which is 100
100
combine 2,00 completed it's done in 2
years. Answer is 2 years. You want 2,00
as compound interest for 10,000 at 10%.
You need 2 years to complete
2,500 were invested for 8 years at a
given rate of simple interest. Interest
rate of interest not given that is you
need to calculate time is how much?
much? Principle
interest what is the
interest? 1,225. This is extra amount
amount at two. What is the extra? That
is interest 2,500 become
3,725. That extra amount is because of
interest. Okay. So interest is given. So
I equal to PT
R P value T value R value you need to
calculate divide by 100. This two zeros
this three zeros will get cancel. 25
into 80 is
200 I got two points fine but 6.125
6.125
25 6.125 you check it out rate of
interest is
6.125 dividing by two first of all here
100 here it is
61 2.5 still divide by 100 is
6.125 I equ= to P here the one glitch of
maybe one point to be focused is
interest is not given directly you need
to calculate that that's the only thing
otherwise it's a basic
Question principle available timing
available. Okay. Interesting available
If A lends rups 4,500 to B at 8%
peranom, B lends the same money to C at
10% peranom. Find the gain of B in a
answer sir nothing mentioned in the
question it's a it's actually by default
you have to go for simple interest which is
is
easy simple interest we'll go not
mentioned what type of interest we'll go
with the easy one simple interest see 8%
permit is related to simple interest or
compound interest Rate of interest 8%
those are related to simple interest or
compound interest if not mentioned
anything in the question we can go for simple
simple
interest right now here what is the
extra sir interest A given to B for 8%
but B given to C for what is the extra
2% for 1 year how many years 3 estimate
completed no need to calculate first one
interest second interest waste of time I
want gain means what is the extra extra
is 2% for 1
year but as is 3 years 2% peranom 8%
peranom 10% peranom 2% extra I'll get
for 1 year as is 3 years 6% okay 6% for
what interest are always calculated on
principle so principle is 4,500. 6% of
4,500. 6% is 6500. It's nothing but 16
into 45. 3 into 90 which is simply you
270. Calculator but any doubt so far
please let me know. The first two
questions related to simplification. Let
me again just specify what has happened
so far. First two questions related
simplification. First one did easy
question where you know about square
root you can do it very easily but
second one is such related some stuff
you can you need it's a quadratic
equation actually we form and we have to
do but shortcut if a number can be
splitted as two adjacent numbers
positive means high number among highest
integer negative means lowest integer we
have to do right that's what we can
apply root 6 and whereas this next
question okay dishonest salesman profit
and loss related initially loss but due
to false weight you'll get gain. What is
the overall result is what? Okay, we
can. In fact, for this question, you can
apply X + Y + XY by
100. X + Y + XY by 100. You can apply
for this also. But we have to take X
negative. Y negative I have to take
because of loss. Y should be
positive. You can try then you'll get
that answer also. Here also you can try.
Okay. And this is very basic question.
Okay. 100 per cage cost by selling 120
per cage and this what x + 5 + x500 this
also you can apply for the third
question okay then sixth one percentages
this is very interesting and good
questions I'm learning for you whereas
seventh question eighth question ninth
all these are related to compound
interest simple interest and compound
interest two questions related to
compound interest and two questions
related to simple interest right next
we'll see about time and couple of
questions for the pipes assistants as
well. P can complete the project in 15
days. Q will do it in 10 days. They
started working together but after 2
days who left the
job Q had to leave and P alone complete
the work. So whole work completed in
what's the total time taken to complete
the entire work right that's what the
question fine now say this if options
are wrong also let it be no problem
we'll check it out later so P can
complete the work in 15
days Q can complete the work
in 10 days so total 30 pages are to type
that is what my work I can consider P
can type two pages per day you can type
three pages pages per day. 10 into 330
pages. 15 into 230 days done. Now
initially P and Q both are available for
how many
days? 2 days. What P and Q can do? P can
type 2 days per day. Q can type three
days per day. Together they can type
five pages in one day. They're available
for 2 days. So 5 into two 10 pages
completed. Total work
is 30 pages. So now still 20 pages are
there. Who should do that? P should do
that. P cap
capacities 2 p. 20 pages means
definitely it will take 10 days. So
whole work is 12 days. Initially 2 days
P and Q available and P alone here 10
days. So total 12 days is the answer. In
how many days was the whole work
completed these 12 days? P and Q can
complete a project in 15 days and 10
days respectively. They started doing
the work together. After 2 days Q left
the job means P alone required to
complete the job. Answer two alone. See
the scenario. Whole work means total 30
pages. Total task 30 pages need to complete.
Now see the next question again time and work
work related
because 6 days because alone can do it
alone. See alone two together is given
you need to calculate alone then we can
difference product divide by difference
this is a shortcut formula you can apply
answer is 15 when they given together if
you want to calculate alone together is
given or not in the question together
they can do it in 6 days they're asking
alone when together is given if you want
to calculate alone product divided by
No sir. Alone given together need to
calculate means product divided by
summation. Alone given we have to
calculate together means product divide
by summation. A alone so B alone so
together what mean? Product divided by
summation you do. But here it is
together given we have to calculate
alone means product divid by difference.
No sir all this I am not happy. We'll go
with the regular procedure. Okay we can
go for regular procedure. Vikas plus
moan can do it in 6 days. Vikas alone 10
days. 6 and 10 doing the LCM I can
consider 30 pages is my work. 30 pages I
have to type. These two people together
can type five pages per day. Vikas can
type three pages per day. Then moan can
type how many pages? Vikas can type
three pages per day. Vikas and moan
together five pages. So vicas
alone two pages. Now 30 pages two pages
days. This is the original procedure or
the shortcut both are given whatever
it's fine you can go
ahead total 30
pages moan can type two pages per day.
two? Because together five vas alone
three now moal alone will be two. Don't
subtract the timing directly. Don't say
10 - 6 4 days. Don't subtract the
timings. Addition subtraction everything
you can do in efficiency side. This
right side five pages per day, three
pages per day, two pages per day is
efficiency. If you are not aware of what
is going on, please note down time and
work topic. Go through the video and
learn the basics without the basic. I'm
an assumption that people already know
and work. What is all this? What is
happening? Now let's see about the next
one. 20 buckets can fill a tank when the
capacity of each bucket is 12 L. Now the
capacity of each bucket is 10 L. How
many buckets are required? 24
24
right? Each see what is the tank
capacity. If 20 buckets are there each
bucket 12 L means 240 L is the
capacity. If your tank is 240 L capacity
20 buckets 12 times if you used 12 L. So
that's what each time 12 12 240 L will
be filled. Now what they said each
bucket 10 lit so number of buckets will
be 240 L. If each bucket is 10 L
capacity then how many buckets are
required? 24
required. It's a very very very basic
question. 20 buckets can be like the
capacity of each bucket is 12 L. Now if
the capacity of each bucket is 10 then
find the number of buckets required to
fill the tank. Previously each bucket
capacity 12 now each is 10. When bucket
capacity less you need more
buckets. Okay that's why all options are
more than 20. You can sense it capacity
of bucket decrease more number of
The 14th
question 11 12 13 14 related to diamond
work pipes and
bank three pipes can fill the tank in 8
12 and 16 minutes what is the time given
by all the three pipes open
together when all open together A can
fill the tank in 8 minutes B can do it
in 12
minutes C can do it fill the tank in 16
minutes when all three are
open. Now here tank capacity is 48 L. I can
can
assume this can fill 6 liter per minute.
This can fill 4 liter per
minute. This can fill 3 lit per minute.
When all three are
open, what is the capacity of all the three
together? 13 L per minute. Now 48 L
38 means it should be less than 4. 3.7
is correct.
13 40 / 13 minutes it should be less
than 4 13 4 *
52 less than four required only one option
option
available 40 / 13 in fact that
is 13 3 * 39 still 9 by 13 9 by 13 can
bring us 7 approximately ly because 137
* 91 13.7 is.91 approximately 3.7 we can
take option A 3.7 means approximately
not exactly approximately we can move
are less than four required only option
clear with this question. This one
previous one types and time before the
time and work and we need to look into
time and distance related stuff. Now we
entered into time and distance related
question. Now including stoppage speed
of bus is 60 excluding stoppage 65. How
long bus stops in an hour? This type of
questions one important model in time
and distance basics actually excluding
stoppage in okay with stoppage without
stoppage. First one with the stopage
speed is 60 km per hour. In fact they
had to mention average speed exactly to
say average speed will be 60. If
excluding stopage average speed will be
65. Yes. You just assume you you have a
bus without stopage it will reach fast
mean speed is more a bus stop without
stop bus traveling from A to B. It'll
reach fast mean speed is more. The stop
is that it will take more time mean
speed will be less. That's the first one
including stopage. With the stopage
speed is 60. Second
one without stoppage speed will be 65.
Generally if you want some formula
related stuff what you can do take
difference between these two faster one
minus lower one divided by faster one.
Then what will be the difference between
those two is 5 / 65. Now numerator
velocity or speed denominator velocity
or speed there is no
units as of there is no
units numerator speed denominator also
speed units will be null but they're
asking minutes per hour actually so what
I can do I can multiply with hour divide
by hour is there any problem multiplying
with hour dividing by hour no then I can
write this 1 hour as 60 minutes
minutes
numerator divided by
hour let it be like this this is what
it'll give the idea 60 divided by 13
minutes per hour so here I think there
might be a type error generally they'll
ask for 60 and 40 some values where you
can cancel that numerator with
denominator but for this yes 60 by 13 it
should be less than
Five means option should be close to
D. Okay, there is a problem in this
question. So 60 divid by 4 8 by 13 is
the answer it should be. But no option
at least we can go with option D among
things. But this is the procedure you
need to do. Question will be generally
60 and 48. Okay. Normal questions if you
find anything any textbook you go this
values will be like 60 48 or 48 36 like
that they'll give if it is 60 48 what
will be the answer 60 without stoppage
48 will be with
stoppage 60 without stoppage 48 will be with
with
stoppage here that is a mistake answer
should be 48 by
minutes there is no option okay we are
going in terms of four there is a
mistake in the question with respect to
value maybe in your trial they may
change the value they'll give it
correctly but here whatever is given I'm
just discussing there is a mistake for
sure right but what is the question if
you find anywhere maybe I'll just okay
net supports I'll just open for you and
you can see excluding
stopage question that's a common one you
stop if it opens fine I'll show there
are any question you can solve in that
one where the values will be like 60 48
or 60 54 likewise they'll give yeah
excluding stoppage you can see this
question bus is
54 yeah this one you what is the answer you're
you're
guessing I don't want to show the option
so what is
Excluding stoppage we know excluding
stoppage speed will be more 54 including
stopage is 45. What is our approach?
Difference divided by fast 9 by 54 1 by
6 into
60 10 is the answer. Answer should be 10
minutes. Option 10
minutes. This is with the values 54 and
45. I'll show other values also but guys
are you understanding why this into 60
divided by 4 by hour this one are you
getting this point what I did why that
into 60 came in
numerator they're asking minutes per
hour in 1 hour how many minutes you are
waiting in
stoppage in 1 hour how many minutes you
are spending in stoppage actually there
is no units we are multiplying with our
dividing by hour okay and then they
converting this cover as 60 minutes.
Here also I'll show the formula what
they given. They may give V_sub2 - V1id
V1 into 60 might be that's what you can
find that formula. No, they didn't given
directly. I'll give one more value. This
is 45 and 27. That's 45 and 27. What you
45 27
difference 18 divided by 45 18 divided
by 5 45 means 2x 5 92 * 9 5 2x 5 into
16 answer should be 24
minutes yes or no 2x 5 into 16 by 12
times so 24 should be your answer is
available in the options you can see
option this question will kindly ignore
there is some mistake taken the options
or that value might be typing error but
okay question format is correct
definitely without stoppage speeds must
be more everybody have a sense that
without stop speed should be more with
stop speed should be less they given
like that only but I think so that is
some type of rate might be 66 something
like if it is 66 then things will change
let's put it as 66 what will happen if
it is
66 if suppose this is 66
6 16 WS means without stoppage with
stoppage sorry right so W means without
stoppage if suppose this is the case
then what should be the answer
difference is divided
by 66 here also problem I think it won't
cancel here also it will be problem but
it won't get
cancel fine this is also will give
subtraction I don't get the answer but
here this is what the problem this
question there is some numerical issue
in the options best suitable if you want
to climb I'll go with four best suitable
among options I'll go with
four right let's go for the next
question now this one you see a bus
travels 50% faster than a car both start
at the same time and both reach the
destination at the same time how's the
bus speed more it should reach early but
problem. Bus stopped for 10 minutes at certain
certain
point compared to car bus speed
is 50% more. They started at the same
time and reached queue at the same time.
So first one speed is more the bus speed
is more how it can reach the same time
is in between 10 minutes west is
happen right now find the speed of the
question that is the distance between
those two is 10 100 kilo 100 km both
traveling 100 kilometers
only right so here because of 10 minutes
stoppage bus is reaching okay same time
like car. Now calculate speed of the
car. I hope you understand the question.
question. Can I say speed of bus is 150%
of speed of car? Can you write like
this? Why
150%. 50% faster more speed. 150% means
150 divid 3x2. Speed of car divided by
bus divided by speed of car is 3x2. Why
3x2? How we got
3x2? 150 + 150 divided by 153 * 52
times. Is both traveling same
distance? Is both traveling same
distance or not? Yes. Agree? Right. When
distance is constant, what is relation
between time and speed?
Time and speed
are inversely. Now time taken to the bus
and time taken to the car should be 2x3.
this? Are you getting to the point? I'm
not taking the distance. I will use it
later. I'm giving you different style of
solving the question. There are any
number of methods. I will give one
method. If you're not happy, I'll give
another method. Same question can be
done in different different way. What I
am taking is yes. As distance is
constant, time and speed are inversely
related. Speed relationship is 3x2. Bus
speed is more than the car speed. Then
time taken by bus must be more less than
car. But here the difference between
these two is how much? 2 and three means
minutes. Why sir? See 10 minutes pending
bus 10 minutes extra. Let's say both are
equal. If not bus will reach 10 minutes
before if I don't stop in certain bus
stop bus will reach 10 minutes early.
The difference between the buses and car
traveling is 10 minutes. Here in the
ratio it is one. One related to 10
minutes means bus will take actually 20
minutes to travel. Car will
take 30 minutes to travel.
Bus will take 20 minutes. Car will take
30 minutes. Now what is the question?
What's the question?
Sir, speed of the car. Speed of the car
is distance traveled by time traveled by the
car. Okay. And both are equal means we
have to go for 30 30 1 minute. Or else
Time taken by both are equal.
Okay. There are one more method we can
go for. Distance is nothing but product
of speeds divided by difference between
gap. One more formula if you want to use
like I'll go for the previous one also.
Distance is nothing but product of
speeds divided by difference between
speeds into time gap between distance
here is 100. Two things are available.
One I can say speed of boat is
3k. Speed of car will be
2k. Bus is 3k car will be 2k. So product
of the speeds is 3k into 2k. Difference
is nothing but k. What is the time gap?
10 minutes between those two. What is
the gap is 10. Both reach are on time
but there is 10 minutes stoppage. Gap
will be 10 minutes divide by 60. What is
the divide by
60? Why divide by 60?
60?
Because dimension kilome per hour
remaining speeds they're asking in
kilome per hour. Distance is in
kilometers. So we need to maintain time
gap also in hours by dividing by 60 to
convert into hour. Now this 6 times this
3 into 2 will get cancel. What is K is nothing
nothing
but 100. Question is
recording speed of the car. Speed of the
car must
be 200. Speed of the bus must be
be [Music]
[Music]
300. Bus 300 car 200. Again there is a
mistake in the options. They're asking
speed of the car but it's not available
in the options. Car is 200 bus will be
300 but options are not available. In
fact in previous method also if you are
okay with previous method listen speed
of the car is distance. How much
distance car
travel? 100 kilometers. What is the time
it is taken?
Car 30 minutes with half an hour. Right.
Right. Half an hour. These two will go
to numerator. What is speed of
car? 200 kilometer per hour. But it's
not there in the options. Again there is
a mistake in this question. It should be speed
speed
of bus. Then answer will be 300. Sir I
want to calculate speed of bus means
distance divided by time taken by bus.
Distance is 100. What is the time taken by bus to
by bus to travel? 20 minutes means 1/3 of the
travel? 20 minutes means 1/3 of the hour.
Okay. 1 by3 of hour it will be 300 kilome per hour. Bus is 300 car will be
kilome per hour. Bus is 300 car will be 200. There is a mistake I shown you in
200. There is a mistake I shown you in two methods. One method is this basic
two methods. One method is this basic speed and time are inversely
speed and time are inversely proportional when distance is constant.
proportional when distance is constant. And we got the difference in timing is
And we got the difference in timing is one but it's actually 10 minutes as per
one but it's actually 10 minutes as per the given data. When one represent 10,
the given data. When one represent 10, two should represent 20 minutes, three
two should represent 20 minutes, three should represent 30 minutes. So 30
should represent 30 minutes. So 30 minutes half an hour car will travel 100
minutes half an hour car will travel 100 km means 200 kilome per hour whereas bus
km means 200 kilome per hour whereas bus is traveling 20 minutes only exactly 10
is traveling 20 minutes only exactly 10 minutes is wasted that's not traveling
minutes is wasted that's not traveling time speed okay time t is traveling time
time speed okay time t is traveling time moving time not the waiting time there
moving time not the waiting time there so if you go we have to get 300 if it is
so if you go we have to get 300 if it is bus for car it should be 200 again if
bus for car it should be 200 again if suppose same question is given in exam
suppose same question is given in exam blindly we have to go for 300 There is
blindly we have to go for 300 There is no option. There is a mistake but among
no option. There is a mistake but among options 11 to question is 300 and 200
options 11 to question is 300 and 200 300 is available. There may be some type
300 is available. There may be some type you can understand it. Next
you can understand it. Next question. Question number
17. A train moving at 18 kilome hour crosses the platform in 30 seconds. Then
crosses the platform in 30 seconds. Then it crosses a man running a 12 km/h in
it crosses a man running a 12 km/h in the same direction of train in 9
the same direction of train in 9 seconds. What is the length of the train
seconds. What is the length of the train and length of the platform? So guys when
and length of the platform? So guys when train is crossing a
train is crossing a platform when train is crossing the
platform when train is crossing the platform what is the distance what is
platform what is the distance what is the speed what is the time? First
the speed what is the time? First question first first one let me know
question first first one let me know when train crossing platform what is the
when train crossing platform what is the time
time taken? 30 seconds. Okay. What is the
taken? 30 seconds. Okay. What is the speed when trying crossing the
speed when trying crossing the platform? Speed will be not 8 because
platform? Speed will be not 8 because platform is fixed. Speed is only for
platform is fixed. Speed is only for moving object. Which is moving there?
moving object. Which is moving there? Train only. So train speed should be
Train only. So train speed should be taken. Train crossing platform platform
taken. Train crossing platform platform is fixed. Only moving object is flowing.
is fixed. Only moving object is flowing. So train speed is 1 8 kilometer per
So train speed is 1 8 kilometer per hour. But you can observe timing is in
hour. But you can observe timing is in seconds.
seconds. Distance will be in meters. We need to
Distance will be in meters. We need to convert. So do it 5 by 18 which is 30
convert. So do it 5 by 18 which is 30 m/s. 30 m/ second. Okay.
m/s. 30 m/ second. Okay. Then what is distance when trying
Then what is distance when trying crossing
distance. What should the distance? Length of
Length of the when train crossing
the when train crossing platform we have a platform like this
platform we have a platform like this and train is here. This train should
and train is here. This train should first cover the platform and then it
first cover the platform and then it should cross. This is what crossing
should cross. This is what crossing train is in here. Now it should cover
train is in here. Now it should cover this platform then it should cross. So
this platform then it should cross. So platform length plus train length. Okay.
platform length plus train length. Okay. Train crossing the platform. which
Train crossing the platform. which should be length of the train plus
should be length of the train plus length of the platform. Distance is
length of the platform. Distance is speed
speed into time. So length of the train plus
into time. So length of the train plus length of the platform. What is the
length of the platform. What is the speed? 30 time 3900. See I can calculate
speed? 30 time 3900. See I can calculate length of the train using second data.
length of the train using second data. But here adding 900 available in only
But here adding 900 available in only one of the options. See I'm not going
one of the options. See I'm not going further. I agree train crossing a man is
further. I agree train crossing a man is also available but I'm not entering into
also available but I'm not entering into that because adding length of the train
that because adding length of the train and length of the platform 900 available
and length of the platform 900 available only in one option C 240 and 660 adding
only in one option C 240 and 660 adding 9 will get
9 will get only first calculate length of the train
only first calculate length of the train length of the train is it different in
length of the train is it different in all options or not what you have to
all options or not what you have to calculate length of the
calculate length of the train length of platform length of the
train length of platform length of the train is different if you want to
train is different if you want to calculate only length of the
calculate only length of the See actually I'm done with the question.
See actually I'm done with the question. I have only one option adding both
I have only one option adding both length of the length of the platform 900
length of the length of the platform 900 m available only in C. No sir I want to
m available only in C. No sir I want to exactly calculate what is the length of
exactly calculate what is the length of the train. Similar to this question they
the train. Similar to this question they given already in gate also. Now see if
given already in gate also. Now see if you want to calculate length of the
you want to calculate length of the train now we'll go for train crossing a
train now we'll go for train crossing a man. When train crossing a man what is
man. When train crossing a man what is the distance? What is the speed? What is
the distance? What is the speed? What is the timing? In question, what is the
the timing? In question, what is the time taken to cross the man? Day given
time taken to cross the man? Day given in the question? 9 seconds. Okay. Now,
in the question? 9 seconds. Okay. Now, when train crossing the man, man length
when train crossing the man, man length is negligible. We should consider
is negligible. We should consider distance length of the train only. When
distance length of the train only. When train is crossing the man, man length is
train is crossing the man, man length is negligible. Previously platform not
negligible. Previously platform not negligible. But now train crossing a
negligible. But now train crossing a man. Okay, that man length is
man. Okay, that man length is negligible. We can go for distance is
negligible. We can go for distance is equal to length of the train. Speed here
equal to length of the train. Speed here we have to subtract. Why we have to
we have to subtract. Why we have to subtract? They said same
subtract? They said same direction. Okay, this is in kilome/
direction. Okay, this is in kilome/ hour. What is this? 96 kilome per hour.
hour. What is this? 96 kilome per hour. We have to convert into m/s. Now
We have to convert into m/s. Now distance is speed into
distance is speed into time. Speed is this. Timing is this 91
time. Speed is this. Timing is this 91 92 * 248 * which is
240. So train length must be 240 available in only one
be 240 available in only one option. You can do only one among this.
option. You can do only one among this. Don't do both. Don't waste the time in
Don't do both. Don't waste the time in exam. Don't calculate platform and man.
exam. Don't calculate platform and man. Okay. Length of the train both. No need
Okay. Length of the train both. No need to do one case only sufficient because
to do one case only sufficient because we have only one option satisfied.
we have only one option satisfied. Length of the train is 240 and length of
Length of the train is 240 and length of the platform combined is 900. Only one
the platform combined is 900. Only one option satisfied. So go with only one.
option satisfied. So go with only one. No need of both. Next
No need of both. Next question. Here again there is a mistake
question. Here again there is a mistake in the option. Kindly ignore it. That is
in the option. Kindly ignore it. That is that's what they happening things sir.
that's what they happening things sir. Now what is the answer?
Now what is the answer? two times
two times each 120 m in length runs
each 120 m in length runs in opposite direction. Now what is the
in opposite direction. Now what is the time taken to cross line two to meet
time taken to cross line two to meet each other right now train one here
each other right now train one here train two here these are the
train two here these are the endings this is one this is two okay
endings this is one this is two okay they are traveling in opposite direction
they are traveling in opposite direction now when okay after crossing each other
now when okay after crossing each other first one will be like this second will
first one will be like this second will will be like
this when the Thailand the dot is what I'm climbing as a tail end they'll meet
I'm climbing as a tail end they'll meet each other tails meet each other is
each other tails meet each other is water
water question now it's similar to train
question now it's similar to train crossing a platform when train is
crossing a platform when train is crossing under train distance will be
crossing under train distance will be length of the train one plus length of
length of the train one plus length of the train to
the train to both speed will
be 60 we have to add the speeds. Now we have to calculate timing. What is time
have to calculate timing. What is time is distance by speed. What is the
is distance by speed. What is the distance
distance here? 240. 240 speed 60. Answer should
here? 240. 240 speed 60. Answer should be four not available. There is a
be four not available. There is a mistake. Mistake in the question that
mistake. Mistake in the question that I'm claiming four is the answer is
I'm claiming four is the answer is required. But there is wrong
options maybe along some maybe some type
along some maybe some type of there is a mistake but understand the
of there is a mistake but understand the concept. So this is very basic time
concept. So this is very basic time taken to cross each other that that this
taken to cross each other that that this ends meeting each
ends meeting each other 60 divided by 240 divided by 60.
other 60 divided by 240 divided by 60. Next
Next one. See this next question. A boat
one. See this next question. A boat cover. This is now. Okay. Boats and
cover. This is now. Okay. Boats and streams related
stuff. Boats and streams related. So 800 m in 600 seconds. Again is the stream
m in 600 seconds. Again is the stream means this is 10
means this is 10 minutes. Again as the stream is nothing
minutes. Again as the stream is nothing but downstream or
but downstream or upstream. Along with this stream is
upstream. Along with this stream is downstream. Again as you are traveling
downstream. Again as you are traveling opposite means up speed. So upstream
opposite means up speed. So upstream speed speed of upstream is 800 m let it
speed speed of upstream is 800 m let it be 600 seconds. 6 in terms of m/s it
be 600 seconds. 6 in terms of m/s it will be good. It will be 4x3
will be good. It will be 4x3 m/s. Upstream you're traveling up where
m/s. Upstream you're traveling up where speed will be less. Upstream is speed of
speed will be less. Upstream is speed of boat minus speed of water flow. Speed of
boat minus speed of water flow. Speed of current, speed of stream, speed of water
current, speed of stream, speed of water flow. All next downstream speed of
flow. All next downstream speed of downstream which is SD plus SS you're
downstream which is SD plus SS you're traveling same 800 m 5 minutes means 300
m/s you know SP minus SS SP plus SS you want SP means adding these two divided
want SP means adding these two divided by two if you add these two SS will get
by two if you add these two SS will get cancelled
cancelled Okay, if you want SB, you have to add
Okay, if you want SB, you have to add downream plus upstream. So that SS will
downream plus upstream. So that SS will cancel 2 SB divided by 2 will be SB
cancel 2 SB divided by 2 will be SB only. So 4x3 + 8x 3 which is 12x 3 4x 2
only. So 4x3 + 8x 3 which is 12x 3 4x 2 which is nothing but 2
which is nothing but 2 m/s. So option C 2
m/s 2 m/s is your answer. Option C is correct. So there are a lot of questions
correct. So there are a lot of questions related to boards and streams. Okay. So
related to boards and streams. Okay. So let me go the question number 18. This
let me go the question number 18. This is
19. Next question. Observe the next two question here. Downstream upstream speed
question here. Downstream upstream speed not given directly. You need to
not given directly. You need to calculate the given distance and timing.
calculate the given distance and timing. You need to map it. This is the 20th
A boat covers 6 km upstream and returns back to the starting point in 2 hours.
back to the starting point in 2 hours. If flow of the stream is nothing but
If flow of the stream is nothing but speed of the water flow or speed of
speed of the water flow or speed of stream. Speed of boat is asking. Now see
stream. Speed of boat is asking. Now see you have to go for 6 kilome then return.
you have to go for 6 kilome then return. You have to travel 6 kilometer then you
You have to travel 6 kilometer then you have to return let's say A to
have to return let's say A to B right so and return back we are
B right so and return back we are traveling one way and then return total
traveling one way and then return total time taken for that is 2 hours so 6 km
time taken for that is 2 hours so 6 km going and 6 km back now one way you have
going and 6 km back now one way you have to consider upstream one way you have to
to consider upstream one way you have to consider as downstream time travel from
consider as downstream time travel from A to B plus B to A together is 2 hours a
A to B plus B to A together is 2 hours a to B distance is 6 kilome while going
to B distance is 6 kilome while going upstream Upstream means SB minus SS
upstream Upstream means SB minus SS return should be downstream. SB plus SS
return should be downstream. SB plus SS is 2 hours. Your job is to calculate
is 2 hours. Your job is to calculate what is the value of
SB. Right? Now what I suggest don't go for cross multiplication doing all the
for cross multiplication doing all the stuff use the options which will
stuff use the options which will generate two. Right? So it should be
generate two. Right? So it should be two. Okay. Let's say if I substitute
two. Okay. Let's say if I substitute okay 8 let us assume if I substitute 8
okay 8 let us assume if I substitute 8 in the denominator what will happen here
in the denominator what will happen here 6 / 4 here 6 /
6 / 4 here 6 / 12 6 / 4 is nothing but 1.5 6 by 12 is
12 6 / 4 is nothing but 1.5 6 by 12 is half which is sufficient why to waste
half which is sufficient why to waste time taking quadratic equation cross
time taking quadratic equation cross multiplying and doing all those stuff we
multiplying and doing all those stuff we have options you put one of the option
have options you put one of the option there right side should be two what I
there right side should be two what I mean to climb You put it 8 here. If you
mean to climb You put it 8 here. If you put 8 here, this will be 6x4 + 6x 12.
put 8 here, this will be 6x4 + 6x 12. This is
This is 1.5. This is
1.5. This is half. What is the totally 2 satisfy the
half. What is the totally 2 satisfy the right side? So, SB will be 8 kilome per
right side? So, SB will be 8 kilome per hour. SB means speed of boat in still
hour. SB means speed of boat in still water. Next one. Hope you understand
water. Next one. Hope you understand this one.
this one. Total time taken to travel 6 km and
Total time taken to travel 6 km and return is 2 hours and your speeds are
return is 2 hours and your speeds are different. While going your speed return
different. While going your speed return speed will be different. While going if
speed will be different. While going if it is up return should be down or while
it is up return should be down or while going down return should be up. It's
going down return should be up. It's your choice. 6 by sb + 4 then 6 by sb
your choice. 6 by sb + 4 then 6 by sb minus 4. A first one this next one that
minus 4. A first one this next one that also no problem. Together two hours
also no problem. Together two hours required. Next question.
Now if you see 21 velocity of boat in still water is 9 speed of stream is 2.5.
still water is 9 speed of stream is 2.5. Now very simple if you want to travel
Now very simple if you want to travel 9.1 kilome time is distance by speed.
9.1 kilome time is distance by speed. Distance you have to travel 9.1 kilome.
Distance you have to travel 9.1 kilome. Now they're asking again is the when
Now they're asking again is the when this again is the stream speed will be
this again is the stream speed will be subtracting 9 -
subtracting 9 - 2.5. So 9.1 divided by 6.5 this is 13 5
2.5. So 9.1 divided by 6.5 this is 13 5 * 13 7 times 7 x 5 is 1 2x 5 1 hour 2x 5
* 13 7 times 7 x 5 is 1 2x 5 1 hour 2x 5 extra okay 2x 5 of the hour is nothing
extra okay 2x 5 of the hour is nothing but 48 24 minutes is correct 2x 5th of
but 48 24 minutes is correct 2x 5th of the hour 1 hour is 60
the hour 1 hour is 60 minutes so if you just calculate 24
minutes so if you just calculate 24 minutes here extra so 1 hour 24 minutes
minutes here extra so 1 hour 24 minutes 1 2x 5 which is 1 hour 24
minutes they clearly ask again is the stream so that's why we are subtracting
stream so that's why we are subtracting time is distance by speed the same terms
time is distance by speed the same terms we keep repeating they're asking plenty
we keep repeating they're asking plenty of questions and 22 also I hope you can
of questions and 22 also I hope you can answer downstream given upstream given
answer downstream given upstream given speed of boat is how to
calculate downstream given upstream given what is said speed of
given what is said speed of downstream
downstream plus upstream divided by 2 which is 4
plus upstream divided by 2 which is 4 kilome/
hour. Downstream available upstream available just add those two divide by 2
available just add those two divide by 2 4 kilome/ is the
answer right. Next related to races and game.
right. Next related to races and game. Okay let me handle this question. This
Okay let me handle this question. This is also time and distance races and
is also time and distance races and games related. In a game of 100 points,
games related. In a game of 100 points, A can give B how many points? Two. And C
A can give B how many points? Two. And C means A is giving to C 28 points.
means A is giving to C 28 points. Listen. What is this game of 100 points?
Listen. What is this game of 100 points? A can give B 20 points. This is races
A can give B 20 points. This is races and games concept. Here gaming below
and games concept. Here gaming below there is one question related to race.
there is one question related to race. Now listen if when you can give the
Now listen if when you can give the points is when you reach the goal. Goal
points is when you reach the goal. Goal is for how many points? 100. A can give
is for how many points? 100. A can give B 20 points. Means guys everyone see A
B 20 points. Means guys everyone see A by B A should complete the game. A
by B A should complete the game. A should complete the game mean A should
should complete the game mean A should reach 100 points. A can give B 20 points
reach 100 points. A can give B 20 points mean B should be
mean B should be 80. The difference between them is 20.
80. The difference between them is 20. In in fact A win the game by 20 points.
In in fact A win the game by 20 points. I have to
I have to say a win the point game by 20 points is
say a win the point game by 20 points is what A can give B 20 points meaning. So
what A can give B 20 points meaning. So A should first complete the game means
A should first complete the game means 100 points is the game. Who will reach
100 points is the game. Who will reach 100 points first? They'll win the game.
100 points first? They'll win the game. A reach 100. In fact it say A can give B
A reach 100. In fact it say A can give B 20 points mean A win by 20 here. Then
20 points mean A win by 20 here. Then now you have to tell me A given C 28
now you have to tell me A given C 28 points mean then what I have to write?
points mean then what I have to write? Is it A by C or C by A? A by C. What
Is it A by C or C by A? A by C. What should be
should be a 100? C must
a 100? C must be
72 up to here. Is it clear? Now, now you need to calculate B by C. B is 100. What
need to calculate B by C. B is 100. What is C? Then you can decide the
is C? Then you can decide the answer. First A, B is given in the
answer. First A, B is given in the question. A and C is given. Last what
question. A and C is given. Last what they
they asking in a game of 100 points. That's
asking in a game of 100 points. That's why I'm taking B is 100 in a game of 100
why I'm taking B is 100 in a game of 100 points. If they say in a game of 200
points. If they say in a game of 200 points, B should be 200 divided by what
points, B should be 200 divided by what is the C value? Then difference between
is the C value? Then difference between that will decide the answer. Now what is
that will decide the answer. Now what is B by
B by C? A by B
C? A by B available? A by C available? What I can
available? A by C available? What I can want B by C means B by A
want B by C means B by A into A by C. What is B by A
into A by C. What is B by A value? 80 by 100. A by C is 100 by 72
value? 80 by 100. A by C is 100 by 72 100 cancel this is 8 10
100 cancel this is 8 10 times. Can I write 10 by 9 as 100 by
times. Can I write 10 by 9 as 100 by 90? Yes or no? B / by C is 100 by 90
90? Yes or no? B / by C is 100 by 90 means B can
means B can give C 10 points. That's it. Option
give C 10 points. That's it. Option B. This is gaming. Try to understand
B. This is gaming. Try to understand races and games concept. In game let us
races and games concept. In game let us say if the same question they given B
say if the same question they given B and C is playing 200 points means then B
and C is playing 200 points means then B / by C 200 divided by 180 then B can
/ by C 200 divided by 180 then B can give 20 points try to be careful here
give 20 points try to be careful here this is also 100 this is also 100
this is also 100 this is also 100 sometimes what they'll do in question
sometimes what they'll do in question they'll talk about 100 points but
they'll talk about 100 points but finally they're asking B and C B can
finally they're asking B and C B can give C how many points in a game of 500
give C how many points in a game of 500 points in a game of 300 points then
points in a game of 300 points then accordingly we have to change the
accordingly we have to change the equation
equation Here equation okay this is fine all are
Here equation okay this is fine all are 100 100 100 only but certain questions
100 100 100 only but certain questions they'll change you be ready for that
they'll change you be ready for that clear with this question this is
clear with this question this is regarding game sir you said races and
regarding game sir you said races and game this question is related to game
game this question is related to game I'll give one question related to race
I'll give one question related to race also are you clear with this have you
also are you clear with this have you got 100 by
90 now can I give one other question can you solve I'll just modify the same let
you solve I'll just modify the same let me give you to the other question. I
me give you to the other question. I don't give any
don't give any option. Let us see this other
question. A can give B 20 points. B can
points. B can give C 10 points.
How how many points A can give C in a game of 200
game of 200 points. Now I changed. Let us see how
points. Now I changed. Let us see how many of you can answer this
question. In a game of 100 points, A can give B 20 points. B can give C 10
give B 20 points. B can give C 10 points. How many points A gives C? A can
points. How many points A gives C? A can give C in a game of 200 points. Now
give C in a game of 200 points. Now what's the first equation, sir?
what's the first equation, sir? A by B
A by B is 100 by 80. Superb.
is 100 by 80. Superb. Then B by C
Then B by C is 100
is 100 by 100 by
by 100 by 90. Now what do you
90. Now what do you want? A by C. How you got? A by C is A
want? A by C. How you got? A by C is A by B
by B into B by C. A by B is 100 by 80. B by C
into B by C. A by B is 100 by 80. B by C is 100 by 90. This zero, this zero, this
is 100 by 90. This zero, this zero, this zero, this zero cancel. It's nothing but
zero, this zero cancel. It's nothing but 100 by 72. Okay. But A and C are playing
100 by 72. Okay. But A and C are playing 100 points
100 points game. 200 points game. Then 100 by 72 I
game. 200 points game. Then 100 by 72 I can write it like 200 divided by 144. Do
can write it like 200 divided by 144. Do you
you agree? Now what is the
agree? Now what is the difference? What is the difference? 56.
difference? What is the difference? 56. The answer is 56.
A can give three 56 points in a game of 200.
give three 56 points in a game of 200. If it is a game of
100 28 got it
28 got it right. Races and games related to game
right. Races and games related to game we done with the question. Now related
we done with the question. Now related to race same
to race same question terminology change in a 1,500 m
question terminology change in a 1,500 m race Anil beats Bakul
race Anil beats Bakul by 150 m see here first he need to beats
by 150 m see here first he need to beats or give means that person should
or give means that person should complete the race A should complete the
complete the race A should complete the race and beat its buck by 150 means A
race and beat its buck by 150 means A completed,500 by the time B is,350
50 A should complete the race then only he can climb beat something. So a Anil
he can climb beat something. So a Anil complete the race and the race is 1,400
complete the race and the race is 1,400 he completed he beats Bakul by 150 m. So
he completed he beats Bakul by 150 m. So be okay bakul is 150 m less by the time
be okay bakul is 150 m less by the time Arun completed the race is 150 m behind
Arun completed the race is 150 m behind right so next one in the same race B
right so next one in the same race B beat C by 75 then what should be B
C,425 now question is regarding A by C if not mentioned we
regarding A by C if not mentioned we have to take Same same race if not
have to take Same same race if not mentioned different thing you should
mentioned different thing you should consider it's also 1,500 m race only now
consider it's also 1,500 m race only now what is a by c 1,500 when it is a what
what is a by c 1,500 when it is a what is c the difference will decide the
is c the difference will decide the answer how to get a by
answer how to get a by c you know a by b and b by c so
c you know a by b and b by c so multiplying that we'll
multiplying that we'll get a by c value which is
get a by c value which is 1,500 /3 this is
1,500 /3 this is 15 15 10 * 15 9 * 10 by 9
15 15 10 * 15 9 * 10 by 9 into,500
into,500 /,425 and we have to be bit smart enough
/,425 and we have to be bit smart enough because numerator we need to maintain
because numerator we need to maintain 1,500 A by C A will be,500 C should be
1,500 A by C A will be,500 C should be according to that. So already 1,500
according to that. So already 1,500 available in numerator. If denominator
available in numerator. If denominator is divided by 10 then we are done with
is divided by 10 then we are done with the answer actually. So what is the
multiplication? 15,000 numerator. Okay. Divided by 9 into this. So we got 225 2
Divided by 9 into this. So we got 225 2 there. What is that? 126 and 2. I think
there. What is that? 126 and 2. I think if I'm not wrong, this is what the
if I'm not wrong, this is what the value. Now I can write this as 1,500
value. Now I can write this as 1,500 divided by
1282.5. Now the difference is what your answer. What's the difference is
answer. What's the difference is 217.5. Option
217.5. Option E see this race related how we are
E see this race related how we are handling the question it's pretty much
handling the question it's pretty much similar to that game one A beats B by
similar to that game one A beats B by 150 m in a race of,500 m A should
150 m in a race of,500 m A should complete the race A completed 1,500 m at
complete the race A completed 1,500 m at that time B is 1,350 that 150 gap
that time B is 1,350 that 150 gap required then B beat C by 75 m means B
required then B beat C by 75 m means B should complete the race race is for,500
should complete the race race is for,500 m,500 m at the time C is 75 less so,425.
m,500 m at the time C is 75 less so,425. Now question is A B C as the not
Now question is A B C as the not mentioned it's the same race we should
mentioned it's the same race we should consider it's a race of,500 m we should
consider it's a race of,500 m we should consider the same 1,500 only. Now when A
consider the same 1,500 only. Now when A is,500 what is C value? The difference
is,500 what is C value? The difference will give the answer. So now a by c is
will give the answer. So now a by c is nothing but a by b into b by c and here
nothing but a by b into b by c and here I'm canceling it's 59 * or 50 10 * 159 *
I'm canceling it's 59 * or 50 10 * 159 * 10 by 9 into this and make sure
10 by 9 into this and make sure numerator should be 1,400 required. Okay
numerator should be 1,400 required. Okay or else we we cannot get the answer. So
or else we we cannot get the answer. So that is why I'm kid not disturbing this
that is why I'm kid not disturbing this not cancelelling this. Some people say
not cancelelling this. Some people say sir divide with five something like I
sir divide with five something like I agree but I need to maintain 1,500 in
agree but I need to maintain 1,500 in numerator that's what the scenario so I
numerator that's what the scenario so I maintain that I divide this with 10 okay
maintain that I divide this with 10 okay by making sure after multiplying
by making sure after multiplying denominator dividing by 10 divide by 10
denominator dividing by 10 divide by 10 here a divide by 10 that gives the
here a divide by 10 that gives the answer like this so the difference
answer like this so the difference between a and c is this pretty much
between a and c is this pretty much similar we discussed already question a
similar we discussed already question a a gives b gives c a gives c in 200 m
a gives b gives c a gives c in 200 m face like that. Same thing here. Before
face like that. Same thing here. Before this we discussed a question. A given to
this we discussed a question. A given to B. A given to C. B given to C is what?
B. A given to C. B given to C is what? All these are considered races and games
All these are considered races and games concept. Races and games. Races and
concept. Races and games. Races and games. So totally. Okay. Next
one. This is also raises and games. Then averages around five questions given.
averages around five questions given. Okay. Aages also they given. Let's see
Okay. Aages also they given. Let's see about this
about this 26. In a 500 m
26. In a 500 m race, the ratio of speeds of two
race, the ratio of speeds of two participants A and B
participants A and B is 3 is to 4. A has a start of 140 m.
is 3 is to 4. A has a start of 140 m. Then A wins by how
much? Speed. Here timing is not given. Means timing is constant. Both travel
Means timing is constant. Both travel for certain time. Both travel for 10
for certain time. Both travel for 10 seconds or 1 minute or 2 minutes. time
seconds or 1 minute or 2 minutes. time is not mentioned. When time is not
is not mentioned. When time is not mentioned, let us consider it's a
mentioned, let us consider it's a constant. Then distance directly
constant. Then distance directly proportional
proportional to distance is directly proportional to
to distance is directly proportional to speed. Right? Here they said A wins by
speed. Right? Here they said A wins by means A should complete the race. If
means A should complete the race. If anybody want to say A wins by or B wins
anybody want to say A wins by or B wins by means or A beats by B by something if
by means or A beats by B by something if they say some wins or beats that person
they say some wins or beats that person should complete the race. Here the
should complete the race. Here the problem listen in this question. A has a
problem listen in this question. A has a start of 140 m means what is the race
start of 140 m means what is the race distance? Raise
distance? Raise distance 500 m. Listen, B should start
distance 500 m. Listen, B should start at
at zero and travel up to 400, but A will
zero and travel up to 400, but A will start at
start at 140 because A has
140 because A has a A has a start of 140 m means he'll
a A has a start of 140 m means he'll start 140 m end of B. When B starts at
start 140 m end of B. When B starts at zero, A will start
zero, A will start at 140. Now he need to go for the target
at 140. Now he need to go for the target 500 only. Now 140 to 400 means he need
500 only. Now 140 to 400 means he need to travel
only 260 no 360 right 360 m. So A target A need to win the race mean A
target A need to win the race mean A will travel only 360 but B should travel
will travel only 360 but B should travel to complete the race. Now by the time A
to complete the race. Now by the time A travel 360 B traveled how much? That
travel 360 B traveled how much? That decides the answer. Here distance and
decides the answer. Here distance and speed are directly proportional. Time is
speed are directly proportional. Time is not mentioned. Both are for 10 minutes
not mentioned. Both are for 10 minutes or 1 hour. Both are alpha 10 seconds.
or 1 hour. Both are alpha 10 seconds. Let it be. They're not mentioned. So now
Let it be. They're not mentioned. So now distance ratio is 3 is to 4. Distance
distance ratio is 3 is to 4. Distance traveled by a and b will be 3 is to 4.
traveled by a and b will be 3 is to 4. Now when this is
Now when this is 360, why I'm talking about
360? A should travel 360 m to complete the race. Right? So when a is 360 what
the race. Right? So when a is 360 what is the relation 3 become
is the relation 3 become 360 multiply with 120 by that time
b 480 now can you know what is the answer a wins by
answer a wins by 20 why sir A don't think 500 sir a
20 why sir A don't think 500 sir a should travel only 360 because a started
should travel only 360 because a started from
from 140 now a completed race a 360 done
140 now a completed race a 360 done means A completed the race. By the time
means A completed the race. By the time A completed the race, B is
A completed the race, B is behind by how much
behind by how much distance B is 480. How much gap? 20 m.
distance B is 480. How much gap? 20 m. That's why answer is
That's why answer is 20. Whenever anybody should give that
20. Whenever anybody should give that statement A wins, A beats something, A
statement A wins, A beats something, A gives something means that person should
gives something means that person should complete the race. Here A completed the
complete the race. Here A completed the race. By the time B is how much
race. By the time B is how much behind is what the answer? So when A is
behind is what the answer? So when A is 360, B is 480 only. Okay. When R let's
360, B is 480 only. Okay. When R let's say like this when A completed the race,
say like this when A completed the race, B is at 480. B still need to travel 20
B is at 480. B still need to travel 20 more to complete the race. That's why A
more to complete the race. That's why A B by actually it should be like that. A
B by actually it should be like that. A wins B they should mention here B. A
wins B they should mention here B. A wins B by 20 m or A beats B by 20 m.
wins B by 20 m or A beats B by 20 m. Okay. So understand here timing is not
Okay. So understand here timing is not required not mentioned we're
required not mentioned we're constrainted as a constant distance
constrainted as a constant distance directly proportional to speed. Now why
directly proportional to speed. Now why this 360
sir d a should travel only 360 m to complete the race. Why A started at
complete the race. Why A started at 140? Why A started at
140? Why A started at 140? In question they
140? In question they mention A has a start of 140 m. Right?
mention A has a start of 140 m. Right? Now let me know same question listen
Now let me know same question listen same question if they given they not
same question if they given they not mention A has a start of B will win the
mention A has a start of B will win the race for sure. Now can anyone say B wins
race for sure. Now can anyone say B wins A by what? Now I'm modifying one
A by what? Now I'm modifying one statement. Whether people are understand
statement. Whether people are understand the concept or not I want that. So I'm
the concept or not I want that. So I'm just modifying this. This start is not
just modifying this. This start is not there.
there. Then B's speed is more definitely B will
Then B's speed is more definitely B will win. Yes or no? Whose speed is
win. Yes or no? Whose speed is more? Yeah. When not mentioned, both
more? Yeah. When not mentioned, both will start from zero only. Now B wins A
will start from zero only. Now B wins A by how
much? Now B should complete 500. Speed is more C. You just
500. Speed is more C. You just understand. Speed of B is more distance
understand. Speed of B is more distance traveled by A. Distance traveled by B is
traveled by A. Distance traveled by B is nothing but 3 is to 4 only. Distance
nothing but 3 is to 4 only. Distance directly proportional to
directly proportional to speed. Now to complete the race
speed. Now to complete the race definitely B speed more means B will
definitely B speed more means B will complete the race first. So B should
complete the race first. So B should reach 500. When B will reach 500 means
reach 500. When B will reach 500 means we have to multiply with
we have to multiply with 125. Then B will
125. Then B will become at the time A will be
A will be 370. Now I can say B wins A
370. Now I can say B wins A by
125. Now see these two questions. Now you'll get the idea. So what is here?
you'll get the idea. So what is here? What is
What is previously? Previously A is winning. A
previously? Previously A is winning. A should complete the race. For completing
should complete the race. For completing a race 360. Now here nothing is
a race 360. Now here nothing is mentioned. In fact last line B wins I
mentioned. In fact last line B wins I mentioned mean B should complete the
mentioned mean B should complete the race B should complete mean as both are
race B should complete mean as both are starting from zero in this question
starting from zero in this question there is no start for A both start from
there is no start for A both start from zero right so you understand this is
zero right so you understand this is raises and gains concept right so in the
raises and gains concept right so in the given time that's what the best way can
given time that's what the best way can deliver now let's see about averages
deliver now let's see about averages later
later question
averages close to 27 questions complete so far. Now let's see about 28
so far. Now let's see about 28 averages. We have around five to six
averages. We have around five to six questions related to averages. See this
questions related to averages. See this one. A museum has an average of five
one. A museum has an average of five visitors on Sunday and 240 on other
visitors on Sunday and 240 on other days. Find the average number of
days. Find the average number of visitors per day. Average will be
visitors per day. Average will be generally total divided by number of
generally total divided by number of here average is total
here average is total visitors divided by total number of
visitors divided by total number of days. Total visitors divided by 30 days.
days. Total visitors divided by 30 days. Total
Total days because the question is regarding
days because the question is regarding average number of
average number of visitors total number of
visitors total number of visitors divided by total days.
visitors divided by total days. Average is total divided by number of
Average is total divided by number of number of days. So instead of total put
number of days. So instead of total put that in a better way number of because
that in a better way number of because everybody know average is total divided
everybody know average is total divided by number of Yeah. Let's say this is
by number of Yeah. Let's say this is number of
number of days right. So guys what is the total
days right. So guys what is the total visitors? What is the total number of
visitors? What is the total number of days?
days? 30
30 right? Total
visitors how many days totally 30 Sunday you have five and remaining is
you have five and remaining is 240. So first I have to know how many
240. So first I have to know how many Sundays in that 30 days starts
Sundays in that 30 days starts with beginning with a Sunday. So first
with beginning with a Sunday. So first day is Sunday. 7 days after 8th day
day is Sunday. 7 days after 8th day Sunday, 7 days after 15th day Sunday, 7
Sunday, 7 days after 15th day Sunday, 7 days
days after 7 days after. So how many Sundays?
after 7 days after. So how many Sundays? Five Sundays. Remaining 25 or other
Five Sundays. Remaining 25 or other days. Why that breakup is required is
days. Why that breakup is required is Sunday visitors are different. Remainers
Sunday visitors are different. Remainers visitors are different. Can you write
visitors are different. Can you write now 5 into 510? Why 5 into 510 sir?
now 5 into 510? Why 5 into 510 sir? Five Sundays in Sunday vistor s are
Five Sundays in Sunday vistor s are 510 then 25 into 240 what is that
510 then 25 into 240 what is that 25 remaining days are 25 and each day
25 remaining days are 25 and each day 240 visited now as calculator not
240 visited now as calculator not allowed in exam you can divide by 10 10
allowed in exam you can divide by 10 10 10 out then I can divide by 3 3 17 * 3 8
10 out then I can divide by 3 3 17 * 3 8 times 5 into 17 is 85 25 into 80 is 200.
times 5 into 17 is 85 25 into 80 is 200. It's 285. You can check your regular
It's 285. You can check your regular booklet. Okay. In the tri this question
booklet. Okay. In the tri this question is there. But instead of museum, they
is there. But instead of museum, they said picnic. Okay. Some other place
said picnic. Okay. Some other place library. So not museum library. Same
library. So not museum library. Same question you find any textbook in
question you find any textbook in library you go there is a question this
library you go there is a question this one average topic that question is
one average topic that question is there. But instead of museum you have a
there. But instead of museum you have a library. A library has an average of
library. A library has an average of students. It's a repeated question. A
students. It's a repeated question. A lot of government jobs. Same no value
lot of government jobs. Same no value change also
285 average total number of visitors divided by number of
days calculator not allowed so don't go for it complicated multiplication making
for it complicated multiplication making as a big number then dividing by 30
as a big number then dividing by 30 it'll take time please be smart enough
it'll take time please be smart enough averages see the next one hope you
averages see the next one hope you understand this
understand this question okay so let's see about next
Question. Find the average of square of five consecutive odd numbers starting
five consecutive odd numbers starting from 1 to 9. Where the last odd number
from 1 to 9. Where the last odd number is 9. Everyone know from 1 to 9 what is
is 9. Everyone know from 1 to 9 what is the odd numbers? 1 3 5 7 9. Last number
the odd numbers? 1 3 5 7 9. Last number nine also they explain. Waste of things.
nine also they explain. Waste of things. But fine you have to do square of those
But fine you have to do square of those numbers. Right. So what is the average
numbers. Right. So what is the average then? Total divided by
then? Total divided by What is the sum of them? 1
What is the sum of them? 1 square 3
square 3 square 5
square 5 square 7
square 7 square 9 square R. Okay. Now the
square 9 square R. Okay. Now the summation divided
summation divided by. So what's the answer?
Average of this square of okay wait square of first five consecutive
wait square of first five consecutive odd numbers okay that's what we are
odd numbers okay that's what we are doing
doing square
square 33 so what is the summation you
33 so what is the summation you got
got 160 5 divide by number of terms five
160 5 divide by number of terms five terms so we got
30 don't again Apply you know sum of squares of natural numbers n into n + 1
squares of natural numbers n into n + 1 into 2 n + 1 / 6 this is small number
into 2 n + 1 / 6 this is small number don't waste time that two you know only
don't waste time that two you know only sum of natural numbers this is odd
sum of natural numbers this is odd numbers not all do that summation it's
numbers not all do that summation it's very simple 33 next
very simple 33 next question sir no discussions see the next
question average weight of pq and r is 45 H the average weight of P and Q given
45 H the average weight of P and Q given Q and R is given. The question is
Q and R is given. The question is regarding what is the weight of
regarding what is the weight of Q. PQR average is given. P and Q average
Q. PQR average is given. P and Q average is given. QR average is given. You have
is given. QR average is given. You have to calculate Q
to calculate Q value. What is average
value. What is average is sum of total divided by number of. So
is sum of total divided by number of. So what is the first equation? P + Q +
what is the first equation? P + Q + R 45 into
R 45 into 3
3 135. Very good. What about next one?
135. Very good. What about next one? Average weight of P and
Q40. So then P + Q will be equal to 80. Right? So 2
Right? So 2 into P + Q is nothing but 2 into 40
into P + Q is nothing but 2 into 40 80. Then Q + R
80. Then Q + R =
= 86. Now from these two I can decide R is
86. Now from these two I can decide R is nothing but
nothing but 55 135 and 80. From first and last I can
55 135 and 80. From first and last I can decide P is nothing but equal
decide P is nothing but equal to
to 49. Right? when 55 and 49 which is not 4
49. Right? when 55 and 49 which is not 4 remaining will be
answer or some of you will say sir I'll add P + Q Q + R that is also correct sir
add P + Q Q + R that is also correct sir I did actually P R separately then P
I did actually P R separately then P separately then calculating Q R is
separately then calculating Q R is listen you add P + Q you add Q + R
listen you add P + Q you add Q + R subtract P QR that will give the
answer this is nothing but Q only what is this 80 this
is this 80 this is 86
minus wait yeah P + Q Q + R 86 only minus this
Q Q + R 86 only minus this which is nothing but
which is nothing but 31 that's equal to Q. You can see that
31 that's equal to Q. You can see that we can do in your own style. I'm not
we can do in your own style. I'm not stopping that. You got three equations,
stopping that. You got three equations, three unknowns. You can do in your own
three unknowns. You can do in your own style. If suppose they asking R directly
style. If suppose they asking R directly you can attack P + Q, P + Q + R is
you can attack P + Q, P + Q + R is there. R will be obtained directly. P
there. R will be obtained directly. P can be find out directly. But for Q you
can be find out directly. But for Q you can add these two and subtract P + Q + R
can add these two and subtract P + Q + R or you calculate these things and then
or you calculate these things and then do it's all up to you. So average
do it's all up to you. So average related question basic things. Okay. So
related question basic things. Okay. So far three questions we discussed related
far three questions we discussed related to average
is see the next one. Average monthly income of Rakkesh
one. Average monthly income of Rakkesh and
and Sur. Sur and Romesh. Rakkesh and
Sur. Sur and Romesh. Rakkesh and Romesh. Now three I three equations
Romesh. Now three I three equations three unknowns. Rakkesh Sur Romesh.
three unknowns. Rakkesh Sur Romesh. Three unknowns are there. Here I can say
Three unknowns are there. Here I can say Rakkesh plus is how
Rakkesh plus is how much?
much? 5,50 multiplied by 2. Okay, we got
Romesh 6,250 * 2 which is 12,500 Rakkesh plus
Romesh Rakkesh plus Romesh
Romesh 10,400 Three equations three unknowns
Now can anyone say what is the Rakkesh value? How to handle
that? Three equations, three unknowns possible. But how to previous one
possible. But how to previous one equation solving? This one also equation
solving. Why we are multiplying by two sir? There are two people. Average sum
sir? There are two people. Average sum is nothing but average into number of
is nothing but average into number of Average into number of persons are two.
Average into number of persons are two. Right? Okay. Now listen, listen listen.
Right? Okay. Now listen, listen listen. How can you handle this is add all right
How can you handle this is add all right side and left side. Add left and right
side and left side. Add left and right side. What will happen? If I add all
side. What will happen? If I add all this, Rakkesh will come two times.
this, Rakkesh will come two times. Suresh will come two times. Romesh will
Suresh will come two times. Romesh will come two times. Whereas this side 400
come two times. Whereas this side 400 this is
this is 20,500 20 and 12 it will be 32 33,000 if
20,500 20 and 12 it will be 32 33,000 if I'm not
I'm not wrong. So Rakkesh plus Sur plus Romesh
wrong. So Rakkesh plus Sur plus Romesh is
is 16,500. Now what is
16,500. Now what is required? What is
required? What is required? Rakkesh. So subtract these
required? Rakkesh. So subtract these two. Rakkesh will be 4,000.
two. Rakkesh will be 4,000. this equation with this equation if you
subtract right okay you'll get sur cancel Romesh cancel Rakkesh will be
cancel Romesh cancel Rakkesh will be 4,000 see the equation you got 22 two
4,000 see the equation you got 22 two add all we will get combine as
add all we will get combine as three guys why here two why extra two
three guys why here two why extra two here 2 *
here 2 * Rakkesh 2 * Sur is coming right two
Rakkesh 2 * Sur is coming right two times rah is coming when I add all those
times rah is coming when I add all those three equations left and
three equations left and right answer Rakkesh will be 4,000
right answer Rakkesh will be 4,000 average again basic question not much
average again basic question not much more now see this next question this is
more now see this next question this is also average next also average 32 and
33 sir average salary of three employees
Two employee salary given. Third employee salary required. Very
easy. What is summation? X + Y + Z will be 3,000. Right?
be 3,000. Right? Y into
Y into three three people. Now 1 is
three three people. Now 1 is 1100, 1 is 500 means 1,600. Obviously
1100, 1 is 500 means 1,600. Obviously Jed must be 1,400 then only it will
Jed must be 1,400 then only it will satisfy. That's it. It's a basic
satisfy. That's it. It's a basic question. See that next
question. See that next 33 average is very important. You can
33 average is very important. You can observe lot of questions given time and
observe lot of questions given time and distance important upstream downstream
distance important upstream downstream boats and streams also. Right? Right. So
boats and streams also. Right? Right. So now what is this
question? Answer
Answer 10.5. Listen listen guys listen. If it
10.5. Listen listen guys listen. If it is three natural numbers what will be
is three natural numbers what will be your answer is generally three natural
your answer is generally three natural mean what we'll do? 1 + 2 + 3 / 3 which
mean what we'll do? 1 + 2 + 3 / 3 which you got two right. But the shortcut you
you got two right. But the shortcut you know when terms are in AP listen when
know when terms are in AP listen when terms are in AP first number plus last
terms are in AP first number plus last number divided by
number divided by two. When terms are in AP first number
two. When terms are in AP first number plus last number divide by two natural
plus last number divide by two natural numbers 1 to 20 means what is first
numbers 1 to 20 means what is first number is it AP or not? So then first
number is it AP or not? So then first number plus last number divide by two
number plus last number divide by two subset.
subset. If it is 100 means 1 + 100 / 2 or else
If it is 100 means 1 + 100 / 2 or else listen you know one formula n
listen you know one formula n into n + 1 / 2 is summation average
into n + 1 / 2 is summation average means n will cancel n + 1 by 2. So
means n will cancel n + 1 by 2. So generally first number plus last number
generally first number plus last number divide by
divide by 2 terms are in a means.
Now related to ages partnership concept ratios I'm going with the concept wise
ratios I'm going with the concept wise okay now where average is done now we'll
okay now where average is done now we'll go for ratios related partnership
go for ratios related partnership related questions and ages related
related questions and ages related questions now see this 34 three numbers
questions now see this 34 three numbers ratio is mentioned sum of the squares is
ratio is mentioned sum of the squares is 1,862 then the middle number will be
1,862 then the middle number will be what sum of the squares is given what is
what sum of the squares is given what is the middle number. Guys, can you give
the middle number. Guys, can you give the answer without solving this
the answer without solving this question? 10 seconds to decide the
question? 10 seconds to decide the answer. What's the answer? Which number
answer. What's the answer? Which number they're
they're asking? Middle number must be multiply
asking? Middle number must be multiply off to answer
off to answer 14. Why do you solve the question? Sum
14. Why do you solve the question? Sum is integer or not? Sum of squares is
is integer or not? Sum of squares is integer value. Definitely it should be
integer value. Definitely it should be two multiple. Two multiple only option
two multiple. Two multiple only option 14. 14. That's it. If there are multiple
14. 14. That's it. If there are multiple even numbers then I'll try solving the
even numbers then I'll try solving the question. But here if they ask third
question. But here if they ask third number it should be five
number it should be five multiple. If they ask first number it
multiple. If they ask first number it should be three multiple. If they ask
should be three multiple. If they ask first number it should be three
first number it should be three multiple. So no sir I want to do this
multiple. So no sir I want to do this question as okay. Three numbers are 3k
question as okay. Three numbers are 3k 2k 5k. Sum of the squares means 9
2k 5k. Sum of the squares means 9 k²
k² 4k² 25 into k². This is equal
4k² 25 into k². This is equal to,862. You need to calculate K value. I
to,862. You need to calculate K value. I believe K will be equal to 7. We'll
believe K will be equal to 7. We'll check that. Now here 9 + 4 13 and 25 38.
check that. Now here 9 + 4 13 and 25 38. 38 K²
38 K² is,862. 38. Now 38 five times. What is
is,862. 38. Now 38 five times. What is 38? Five times we'll get 190. We cannot
38? Five times we'll get 190. We cannot go for five times. We should go for four
go for five times. We should go for four times. Is it 38 or not? 1,862 right
times. Is it 38 or not? 1,862 right here.
here. 862. Now divide you will get 49 times.
862. Now divide you will get 49 times. Then what will be K
Then what will be K value? 7 minus also. Okay. But it is in
value? 7 minus also. Okay. But it is in ratio. In fact you can go for minus as
ratio. In fact you can go for minus as well. That's one possibility. Now answer
well. That's one possibility. Now answer will be
will be 21 and this will be 14. This will be 35.
21 and this will be 14. This will be 35. See all options are available. 21
See all options are available. 21 available, 14 available, 35 available.
available, 14 available, 35 available. But they're asking middle number. If
But they're asking middle number. If they ask last number 35, they ask
they ask last number 35, they ask question first number 21. It's as simple
question first number 21. It's as simple as three multiple. First number means
as three multiple. First number means three multiple. Only available option is
three multiple. Only available option is one. If they ask third one like that you
one. If they ask third one like that you try. Don't waste your time in exam
try. Don't waste your time in exam solving all for this question. Do like
solving all for this question. Do like two multiple required only one option
two multiple required only one option available. Right. Now see the
35 ratio of ages of them is 4 is to 2. Sum of their ages is 6
Sum of their ages is 6 years. Ratio of their ages after 8
years. Ratio of their ages after 8 years. See here also what is 4 +
years. See here also what is 4 + 2? They given the sum is so min present
2? They given the sum is so min present is four. M percentage is
is four. M percentage is two. Ratio adding six. They given also
two. Ratio adding six. They given also six. Let's see now after 8 years what
six. Let's see now after 8 years what will
happen this will be 12 this will be 10 what is that ratio
be 12 this will be 10 what is that ratio is 6 and five very basic
question don't argue 4 is to 2 is 2 is to 1 yeah if they given fine then 2 + 1
to 1 yeah if they given fine then 2 + 1 is 3 they given six we'll double we'll
is 3 they given six we'll double we'll do that but they given 4 is to 2 as is 4
do that but they given 4 is to 2 as is 4 + 2 6 they said sum is six. So directly
+ 2 6 they said sum is six. So directly mean age is four. M age is two. Then
mean age is four. M age is two. Then they said after 8 years sorry after 6
they said after 8 years sorry after 6 years. Okay fine. After 8 years only
years. Okay fine. After 8 years only correct correct correct the 60 some of
correct correct correct the 60 some of them after 8 years. So it is 60 is to
them after 8 years. So it is 60 is to five. Now let's see about next
five. Now let's see about next question. Ages question I said we have 4
question. Ages question I said we have 4 to 5
to 5 again. Age of Ram and Sham differ by 16.
again. Age of Ram and Sham differ by 16. 6 years
6 years ago Ram was three times as old as
Ram? Okay guys check it out here. Listen one of the important point listen right
one of the important point listen right see uh let it be your age is 20 minus 30
see uh let it be your age is 20 minus 30 assume what is the difference yours is
assume what is the difference yours is 20 - 30 let us say difference will be 10
20 - 30 let us say difference will be 10 after 5 years your age will be 25 then
after 5 years your age will be 25 then mine will be 35 difference 10 5 years
mine will be 35 difference 10 5 years ago 5 years
ago 5 years before yours 15 mine 25 difference So
before yours 15 mine 25 difference So difference between the ages will remains
difference between the ages will remains same. Present 16 mean 6 years before
same. Present 16 mean 6 years before also they said Ram and Sham 3 is to 1.
also they said Ram and Sham 3 is to 1. What is the difference
What is the difference here? Two but it should be 16. We have
here? Two but it should be 16. We have to multiply with 3 into 8 24 1 into 8.
to multiply with 3 into 8 24 1 into 8. So 6 years ago Romesh age is 24 present
So 6 years ago Romesh age is 24 present will be 30 completed.
Right? You just observe what is happening there. Okay? They said three
happening there. Okay? They said three times 3 is one. Ram Ram and
times 3 is one. Ram Ram and Sham Ram and Sham the age difference is
Sham Ram and Sham the age difference is 16. 3 years ago or 6 years ago or 6
16. 3 years ago or 6 years ago or 6 years after difference will be 16 only.
years after difference will be 16 only. Here 3 * means 3 is to 1 difference will
Here 3 * means 3 is to 1 difference will be two difference will be two as per
be two difference will be two as per this but they given it as 16 years 2
this but they given it as 16 years 2 become 16 I have to multiply by 8 here 3
become 16 I have to multiply by 8 here 3 * 8 here 1 * 8
* 8 here 1 * 8 so age 6 years ago this is situation 6
so age 6 years ago this is situation 6 years ago ra 6 years ago will be 24 then
years ago ra 6 years ago will be 24 then present will be 24 + 6 which is equal to
present will be 24 + 6 which is equal to 30. If question is regarding sham
30. If question is regarding sham percentage answer will
percentage answer will be sham
be sham percentage answer will be 14 14 what 14
percentage answer will be 14 14 what 14 8 + 6 if it is sham percentage 8 +
8 + 6 if it is sham percentage 8 + 6 understanding what is this two and
6 understanding what is this two and what is
what is 16 difference remains same okay next one
16 difference remains same okay next one that's what there is a way we can solve
that's what there is a way we can solve the question very fast so let's see
the question very fast so let's see about 37 Then we'll see partnership
about 37 Then we'll see partnership related
related questions. 37
questions. 37 please. Age of a father
please. Age of a father is seven times the age of his son. 10
is seven times the age of his son. 10 seconds you can answer this question.
seconds you can answer this question. What's the
What's the answer? 10 seconds you can answer this
answer? 10 seconds you can answer this question.
Answer 35. Why sir? Father age
35. Why sir? Father age is seven multiple. Seven multiple only
is seven multiple. Seven multiple only one
one option. We need seven multiple age will
option. We need seven multiple age will be
be integer. Seven multiple required
integer. Seven multiple required sandwich will be 1 or 2 or three or
sandwich will be 1 or 2 or three or four. It should be integer value. Seven
four. It should be integer value. Seven multiple options divided by seven only
multiple options divided by seven only one option. But lucky we got directly.
one option. But lucky we got directly. No sir I want procedure. I'll still give
No sir I want procedure. I'll still give the other method. Father and son present
the other method. Father and son present age is 7 to 1. In next 10 years means
age is 7 to 1. In next 10 years means after 10
after 10 years after 10 years father and son
years after 10 years father and son is three times right guys that's listen
is three times right guys that's listen listen 3 is to 1 see you multiply this
listen 3 is to 1 see you multiply this with three it can become 9 is to
with three it can become 9 is to 3 7 to 9 how much increase?
3 7 to 9 how much increase? 1 2 3 how much increase? But originally
1 2 3 how much increase? But originally it should be two 10
it should be two 10 years. Originally age is increased by
years. Originally age is increased by how much 10 years but in ratio both are
how much 10 years but in ratio both are increased by two. Two represent 10 to
multip father 35 son is
35 son is five. This also I don't want answer.
five. This also I don't want answer. I'll give another method. One is very
I'll give another method. One is very simple. We need seven multiple sir. Why
simple. We need seven multiple sir. Why you multiplied? Second equation with the
you multiplied? Second equation with the three one basic common sense compared to
three one basic common sense compared to your present age your future age will be
your present age your future age will be more next. So ratio also should be
more next. So ratio also should be bigger one. Present 7 is to 1. Future
bigger one. Present 7 is to 1. Future ratio should be bigger one. 3 is to 1 is
ratio should be bigger one. 3 is to 1 is small one. I multiplying if you multiply
small one. I multiplying if you multiply by two 60 is to 2 it's still not bigger
by two 60 is to 2 it's still not bigger compared to present future must be
compared to present future must be bigger one so you are multiplying by
bigger one so you are multiplying by three sorry it's bigger than the given
three sorry it's bigger than the given the other reason both difference should
the other reason both difference should be same difference should increase by
be same difference should increase by same and some people those who are not
same and some people those who are not able to understand this method I'll give
able to understand this method I'll give you simple if sun is k father will be
you simple if sun is k father will be 7k and After 10 years, f + 10 will be
7k and After 10 years, f + 10 will be equal to 3 * of s + 10. Now f is nothing
equal to 3 * of s + 10. Now f is nothing but
but 7k. 7k + 10
7k. 7k + 10 = 3k +
= 3k + 30. 4k = 20k =
30. 4k = 20k = 5. This is what everybody is waiting for
5. This is what everybody is waiting for this method. Okay, that's what you can
this method. Okay, that's what you can go ahead. Present age if son is K father
go ahead. Present age if son is K father will be 7k after 10 years you have plus
will be 7k after 10 years you have plus 10 3 * of that after 10s is common for
10 3 * of that after 10s is common for both father and son in next 10 years
both father and son in next 10 years then you got k value
then you got k value five so father will be 7 into 5 35 son
five so father will be 7 into 5 35 son present age is 5 father percentage is 35
present age is 5 father percentage is 35 but in exam if this question is given no
but in exam if this question is given no second third seven multiple directly
second third seven multiple directly don't waste all these
don't waste all these This method is given to make sure the
This method is given to make sure the people handle in tough situations if new
people handle in tough situations if new question is given. Now see this 38.
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