6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

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

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

Answer & Explanation Answer: C) 55

Explanation:

point to be remembered

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

21 13899

Q:

The area of the circle is 220 sq.m, the area of the square inscribed in a circle will be

A) 49	B) 70
C) 140	D) 150

Answer & Explanation Answer: C) 140

Explanation:

area of a square = $\frac{1}{2} {(d i a g o n a l)}^{2}$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

22 13891

Q:

A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is

A) 20	B) 21
C) 22	D) 23

Answer & Explanation Answer: C) 22

Explanation:

Let the son's present age be x years. Then, man's present age = (x + 24) years
=> (x + 24) + 2 = 2(x + 2)
=> x + 26 = 2x + 4
So, x = 22

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Filed Under: Problems on Ages

43 13890

Q:

There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ?

A) 17	B) 19
C) 13	D) 11

Answer & Explanation Answer: C) 13

Explanation:

(385/1001) = 5/13

First Number is 5

=> Fourth number is 13

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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14 13889

Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, is:

A) 20%	B) 25%
C) 33.33%	D) 18%

Answer & Explanation Answer: B) 25%

Explanation:

When the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 20 litres of milk.

Since, the profit % = $\frac{P r o f i t}{C o s t P r i c e} x 100$

Therefore, profit percentage = $\frac{5}{20} x 100$ = 25%

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

44 13856

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 13856

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 13847

Q:

How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are never together.

A) 120	B) 640
C) 720	D) 540

Answer & Explanation Answer: C) 720

Explanation:

There are 7 letters in the word ‘Bengali of these 3 are vowels and 4 consonants.

Considering vowels a, e, i as one letter, we can arrange 4+1 letters in 5! ways in each of which vowels are together. These 3 vowels can be arranged among themselves in 3! ways.

Quantitative Aptitude - Arithmetic Ability Questions

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