6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

15% of a number, when added to 30% of another, gives 24% of the sum of the two numbers. The bigger number is 4 more than the smaller one. What are the numbers?

A) 6, 10	B) 8, 12
C) 10, 14	D) 12, 16

Answer & Explanation Answer: B) 8, 12

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

6 1518

Q:

18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?

A) 9	B) 10
C) 6	D) 8

Answer & Explanation Answer: D) 8

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

1 1518

Q:

What is the remainder, when $4 x^{4} + 10 x^{3} - 20 x^{2} + 90 is divided by (x + 2)$ ?

A) 0	B) -6
C) 45	D) 90

Answer & Explanation Answer: B) -6

Explanation:

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Filed Under: Square Roots and Cube Roots

3 1518

Q:

A train travelling at the speed of 66 kmph crosses a 300 m long platform in 24 seconds. How long was the train?

A) 140 m	B) 240 m
C) 160 m	D) 180 m

Answer & Explanation Answer: B) 240 m

Explanation:

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

11 1518

Q:

If $a^{3} + b^{3} = 28$ and a + b = 4, then what is the value of ab?

A) -3	B) 2
C) 8	D) 3

Answer & Explanation Answer: D) 3

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1517

Q:

If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{C}{b + a}$ then which one of the following statements is correct?

A) Each fraction is equal to 1 or -1	B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1	D) Each fraction is equal to 1.2 only

Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The average salary of male employees in a firm was Rs. 5200 and that of females was Rs. 4200. The mean salary of all the employees was Rs. 5000. What is the % of female employees?

A) 80%	B) 20%
C) 40%	D) 30%

Answer & Explanation Answer: B) 20%

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If 1 shirt is offered free on purchase of 3 shirts priced Rs 500 each, then what is the effective discount on each shirt?

A) 30 percent	B) 33 percent
C) 20 percent	D) 25 percent

Quantitative Aptitude - Arithmetic Ability Questions

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