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Title: Aptitude questions
Description: Useful study material to learn aptitude

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EXERCISE-1!

!

1
...
!
2) q = 18
...
!
!
2) If statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer
the question
...
!
!
4) If EACH statement ALONE is sufficient to answer the question asked
...
!
!
!
Correct Option is: ! 3!
Explanation: ! 1
...
!
2
...
!
By using both 1 and 2,we can find whether q is a mutiple of r
...
!
An experiment succeeds twice as often as it fails
...
!
i
...
the probability of its success is 2/3 and the probability of its failure is 1/3
...
!
4 out of the 5 trials in which it succeeds could be selected in 5C4 ways = 5 ways
...
!
Hence, the required probability = 5*((2/3)^4)*(1/3)!

!

3
...
Of the total number of X tickets and Y tickets, what
percentage was purchased?!
1) The total number of X tickets and Y tickets, is 240
...
!

!

!
1) If statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer
the question
...
!
!
3) If BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,
but NEITHER statement ALONE is sufficient
...
!
!
5) If statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,
and additional data specific to the problem are needed
...
We have to find purchase
percentage
...
So option 3 is the correct answer!

!

4
...
His brother does not
agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg
...
If all are them are correct in their
estimation, what is the average of different probable weights of Arun?!

!

!
1) 67 kg!
!
2) 76 kg!
!
3) 77 kg!
!
4) 66 kg!
!
!
Correct Option is: ! 1!
Explanation: ! Let Arun's weight is X
...
!
The values satisfying all the above conditions are 66,67 and 68
...
!
Therefore,option 1 is the correct answer
...
!
What is the value of 1*1! + 2*2! + 3!*3! +
...
1
...
!

...
!
n*n!= ((n+1)-1)*n!=(n+1)*n!-n!=(n+1)!-n!!
Summing up all these terms,we get!
(n+1)!-1!!
Hence,option 1 is the correct answer
...
!
Shyam can do a job in 20 days, Ram in 30 days and Singhal in 60 days
...
!
Therefore,the amount of work done in 3 days by Shyam,Ram and Singhal is!
= 3/20 + 1/30 + 1/60 = 1/5 of the job
...
!

!

7
...
A plane flying east at the
same attitude passes over the same city at 12
...
The plane is flying east at 400 kmph
...
It travels at 500
kmph
...
The
plane flying east would have traveled for 1
...
It travels at 400 kmph
...
5*400 = 600 kms from the city at 2 PM
...
The shortest distance between the two planes is the length of
the hypotenuse of the right triangle whose legs are the distances covered by the two planes
...
!

!

8
...
How much time will 10 monkeys take to eat 10
bananas?!

!

!
1) 3 mins!
!
2) 4 mins!
!
3) 5 mins!
!
4) 6 mins!
!
!
Correct Option is: ! 1!
Explanation: ! 10 monkeys take 10 bananas means,monkeys take 1 bananas each
...
!

!

9
...
So it?s probably white in color
...
So it's probably white in color
...
So it?s probably white in color
...
So it?s probably white in color
...
So it is probably white in
colour
...
! In 2011, the arithmetic mean of the annual incomes of Ramesh and Suresh was Rs
...

The arithmetic mean of the annual incomes of Suresh and Pratap was Rs
...
5800
...
!

Therefore,!
(a+b)/2 = 3800!
a+b = 7600 --- (1)!
(b+c)/2 = 4800!
b+c = 9600 --- (2)!
(a+c)/2 = 5800!
a+c = 11600 --- (3)!
By adding (1),(2), and (3),we get,!
a+b+b+c+a+c = 7600+9600+11600!
2(a+b+c) = 28800!
a+b+c = 14400
...
Therefore,option 4 is the correct answer
...
! Yana and Gupta leave points x and y towards y and x respectively simultaneously and
travel in the same route
...
If the speed of Yana is 48 km/hr,
what is the speed of Gupta?!

!

!
1) 10 mph!
!
2) 15 mph!
!
3) 18 mph!
!
4) 20 mph!
!
!
Correct Option is: ! 4!
Explanation: ! Let Gupta's speed is x,!
4*48/x = 9*x/48!
x^2 = 192*48/9!
x=32 kmph = 32/1
...
! How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the
prizes?!

!

!
1) 91!
!
2) 88!
!
3) 77!
!
4) 81!
!
!
Correct Option is: ! 4!
Explanation: ! First prze can be distributed in 3 ways
...
!
3*3*3*3 = 81!

!
13
...
which of the following is the larger?!

!
1) X!
!
2) x^2!
!
3) 2x!
!
4) 1/x!
!
!
Correct Option is: ! 4!
Explanation: ! Let x=0
...
5!
b: 0
...
5 = 1!

d: 1/0
...
!

!

14
...
Another train leaves from
New York at 20mph heading for Los Angeles on the same track and the distance between Los
Angeles and New York is 2450 m
...
! A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow
...
She can make out the difference between a hat
and a glove
...
How
many gloves must she take out to make sure she has a pair of each colour?!

!

!
1) 50!
!
2) 8!
!
3) 32!
!
4) 60!
!
!
Correct Option is: ! 4!
Explanation: ! In first lady takes 32 gloves, which are in red in colour
...
Only one yellow will be there
...
!
32+24+2+2=60!

!

16
...
Each integer contains two digits
...
Due to this, the average
becomes 1
...
What was the difference of the two digits a and b?!

!

!
1) 1!
!
2) 2!
!
3) 3!
!
4) 4!
!
!
Correct Option is: ! 2!
Explanation: ! Let sum of the 9 correct numbers is S
...
8!
=> 9a - 9b = 18!
=> a - b = 2
...
! Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8
hours to cover the distance of 400 km
...
!
Distance covered in this x hours = 20x km!
He would have therefore, travelled the balance (8?x) hours at 70 kmph
...
2 hours!
= 3 hours and 12 minutes!

!

18
...
What is the probability that they have
a side in common?!

!

!
1) 1/9!
!
2) 1/18!
!
3) 1/12!
!
4) 2/18!
!
!
Correct Option is: ! 2!
Explanation: ! In 64 squares, there are:!
(1) 4 at-corner squares, each has ONLY 2 squares each having a side in common with
...
!
(3) 6*6 = 36 inner squares, each has 4 squares such that each has a side in common with
...
!
!

How many factors of 2^4 * 5^3 * 7^4 are odd numbers?!

!
1) 18!
!
2) 19!
!
3) 20!
!
4) 21!
!
!
Correct Option is: ! 3!
Explanation: ! Any factor of this number should be of the form 2^a x 3^b x 5^c
...
b can take values 0,1,2,3 and c can take
0,1,2,3,4!
Total number of odd factors is!
= 4 x 5!
= 20!

!

20
...
How many of these are multiples of

!

!
1) 1!
!
2) 2!
!
3) 3!
!
4) 4!
!
!
Correct Option is: !

1!

Explanation: ! Number should be a multiple of 3 and 4
...
WE can either have all seven digits as 3, or have three 2's and four 3's, or six 2's and
a 3
...
!
For the number to be a multiple of 4, the last 2 digits should be 32
...
!
All seven 3's - No possibility
...
No of
possibilities = 5! / 3!*2! = 10!
Six 2's and one 3 - The first 5 digits should all be 2's
...
!
!

Find the total number of squares in (5*5 square table)!

!
1) 55!
!
2) 65!
!
3) 35!
!
4) 45!
!
!
Correct Option is: ! 1!
Explanation: ! The answer to the question as to how many squares are there in N by N square!
Total number of squares = [ 1^2+2^2+3^2+4^2+
...
!

!

22
...
If A
and B start working on the project together and A quits 10 days before the project is completed, in
how many days will the project be completed?!

!

!
1) 6 days!
!
2) 9 days!
!
3) 12 days!
!
4) 18 days!
!
!
Correct Option is: ! 4!
Explanation: ! Let is took X days to complete the work by A and B together
...
!
Therefore,option 4 is the correct answer
...
! You have a bucket of jelly beans
...
With your
eyes closed, pick out 2 of a like color
...
If u pick 3, u could possibly pick 3 different colours,
but once u have 4 you must have atleast 2 of same colour
...
!

!

24
...
The first boy starts with
the first line, writing at the rate of 100 lines an hour; and the second starts with the last line then
writes line 534 and so on, backward proceeding at the rate of 50 lines an hour
...
Therefore in a given time,first boy will be writing on the line!
2/3 of 535 or 357
...
!

!

25
...
There are 5 different toppings
...
! Tarun invited 750 persons to a party
...
At the party, when every person including Tarun was seated in
a group of eleven, one group fell short by four persons
...
e 726/7 remainder 5!
so already we have 6 members short and now 5 more!
6 + 5 = 11
...
!

!

27
...
On the 15th
span he does a quick calculation and finds out that the number 12 had appeared twice in the 14
spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span
...
!
So, either 16 or 12 and odd is 35:1
...
!

!

28
...
!
no
...
of A = 2!
no
...
of E = 2!
and others appear only once
...
of ways to arrange these 10 letters = 10! / [ 2! * 2! * 2! * 2!]!
now, assume that two A i
...
!
no
...
of ways of arrangement where two 'A' do not come together = 226800-45360!
= (10! / [ 2! * 2! * 2! * 2!] - 9! / [ 2! * 2! * 2! ])!

!

29
...
Then 25th word will start with C
...
Totally 30 words
...
! An anti aircraft gun can fire four shots at a time
...
7, 0
...
5 and 0
...
962!
!
2) 0
...
964!
!
4) 0
...
The opposite of this situation is that none of the four shots hit the aircraft
...
7)(1-0
...
5)
(1-0
...
3◊0
...
5◊0
...
036 So, the probability that at least one of the four hits the aircraft: =1?
0
...
964!


Title: Aptitude questions
Description: Useful study material to learn aptitude