6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time ?

A) 1:2	B) 1:3
C) 3:1	D) 2:1

Answer & Explanation Answer: D) 2:1

Explanation:

5M + 2B = 4(1M + 1B)

5M + 2B = 4M + 4B

1M = 2B

The required ratio of work done by a man and a boy = 2:1

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Filed Under: Time and Work
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8 14354

Q:

In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?

A) 1:1	B) 2:1
C) 3:1	D) 1:2

Answer & Explanation Answer: A) 1:1

Explanation:

Quantity of alohol in the mixture = 40 x 5/8 = 25 lit

Quantity of water = 40 - 25 = 15 lit

According to question,

Required ratio = $\frac{20 - (40 x \frac{20}{100} x \frac{5}{8})}{15 - (40 x \frac{20}{100} x \frac{3}{8}) + 40 x \frac{20}{100}} = \frac{20}{15 - 3 + 8} = 1 : 1$

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

27 14343

Q:

The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age? [0.5 Decades = 5 Years]

A) 35 years	B) 40 years
C) 45 years	D) 47 years

Answer & Explanation Answer: C) 45 years

Explanation:

Let, Total of current ages of the 2 daughters is A years.
Then, father’s current age = 3A years.
(3A + 5) = 2 (A +10)
3A + 5 = 2A + 20
A = 15
Therefore, father’s current age = 45 years.

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Filed Under: Problems on Ages

27 14340

Q:

What is the rate of simple interest?
I. The total interest earned was Rs. 4000.
II. The sum was invested for 4 years.

A) I alone sufficient while II alone not sufficient to answer	B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer	D) Both I and II are not sufficient to answer

Answer & Explanation Answer: D) Both I and II are not sufficient to answer

Explanation:

We know that, R = (100 x S.I) / (P x T)

Now I gives, S.I = Rs. 4000.

II gives, T = 4 years.

But, P is unknown. So, we cannot find R.

So, given data is insufficient to get R.

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

3 14337

Q:

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?

A) 16/19	B) 1
C) 3/2	D) 17/20

Answer & Explanation Answer: D) 17/20

Explanation:

n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(E U P) = 10/20 + 8/20 - 1/20 = 17/20

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Filed Under: Probability
Exam Prep: Bank Exams , CAT , GATE
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15 14336

Q:

In ∆PQR measure of angle Q is 90 deg. If cosecP = 17/15, and PQ = 0.8cm, then what is the length (in cm) of side QR?

A) 1.7	B) 2
C) 2.5	D) 1.5

Answer & Explanation Answer: D) 1.5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 14287

Q:

The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?

A) 11 months	B) 9 months
C) 7 months	D) 10 months

Answer & Explanation Answer: D) 10 months

Explanation:

7x5: 5xk = 7:10
k = 10 months

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 14281

Q:

In every 60 minutes, the minute hand gains -------- minutes on the
hour hand

A) 53	B) 54
C) 55	D) 56

Quantitative Aptitude - Arithmetic Ability Questions

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