6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Karthik is now 32 years old and his son is 7 years old. In how many years will Karthik be twice as old as the son?

A) 18	B) 25
C) 7	D) 15

Answer & Explanation Answer: A) 18

Explanation:

Given Karthik’s age = 32 years

Karthik’s son age = 7 years

Difference between their ages = K - S = 32 - 7 = 25 years ….(1)

Now, required K = 2S ……(2)

Put (2) in (1)

2S - S = 25

=> S = 25 years

Hence, at the age of 25 years of Karthik’s son, Karthik will be twice as his son’s age.

25 - 7 = 18 years

Therefore, after 18 years the father be twice as old as the son.

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Filed Under: Problems on Ages
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3 3476

Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways.	B) 5,04,020 ways
C) 72,000 ways	D) None of the above

Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways

Remaining 7 letters can be arranged in 7!/3! x 2! ways

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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Filed Under: Permutations and Combinations
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3 3473

Q:

When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ?

A) 4	B) 6
C) 3	D) 1

Answer & Explanation Answer: C) 3

Explanation:

Number = quotient x divisor + remainder;
so, here
number = 138 k + 26
=> (23 x 6k) + (23+3)
=> 23(6k+1)+3
so, remainder is 3.

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Filed Under: Numbers
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4 3473

Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds	B) 90 seconds
C) 105 seconds	D) 135 seconds

Answer & Explanation Answer: C) 105 seconds

Explanation:

Let the plane be at point A at t se

conds and at point B

after t + 30 seconds

Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is

diametrically opposite to the point P from where the angle is same.

Now since the time taken to cover the full circ

le is 3 minutes (180

seconds), the time taken by the plane

to reach the diametrically opposite point will be 90 seconds.

So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds

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Filed Under: Time and Distance
Exam Prep: Bank Exams

3 3468

Q:

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. The difference between the ages of the replaced and the new members?

A) 16 years	B) 15 years
C) 14 years	D) 13 years

Answer & Explanation Answer: B) 15 years

Explanation:

Let avg ages of 5 members at present is G

And age of new member is m and an older is n

Required = (5G + m - n)/5 = G - 3

m - n = 15 years

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Filed Under: Average
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16 3467

Q:

In a single throw with 2 dices, what is probability of neither getting an even number on one and nor a multiple of 3 on other?

A) 11/36	B) 25/36
C) 5/6	D) 1/6

Answer & Explanation Answer: B) 25/36

Explanation:

We first calculate the probability of getting an even number on one and a multiple of 3 on other,Here, n(s) = 6x6 = 36 and

E = (2,3) (2,6) (4,3) (4,6) (6,3) (6,6) (3,2) (3,4)(3,6) (6,2)(6,4)

n(E) = 11P(E) = 11/36Required probability = 1-11/36 = 25/36

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Filed Under: Probability
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17 3466

Q:

Calculate the future value of $3,000 invested at 7% for 5 years

A) 4207.66	B) 5207
C) 4376	D) 5687

Answer & Explanation Answer: A) 4207.66

Explanation:

F=P(1+i)^n

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Filed Under: Compound Interest
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2 3463

Q:

In an election between two candidates, the winning candidate has got 70% of the votes polled and has won by 15400 votes. What is the number of votes polled for loosing candidate?

A) 38500	B) 11550
C) 26950	D) 13550

Quantitative Aptitude - Arithmetic Ability Questions

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