6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Determine the value of m for which $4 x + \frac{\sqrt{x}}{6} + \frac{m^{2}}{4}$ is a perfect square.

A) 1/24	B) 1/12
C) 12	D) 24

Answer & Explanation Answer: B) 1/12

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 42740

Q:

If LMN and UVW are similar triangles, the value of side s is

A) 4	B) 6
C) 8	D) 9

Answer & Explanation Answer: C) 8

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 42721

Q:

In a two-digit number, the digit in the unit's place is more than twice the digit in ten's place by 1. If the digits in the unit's place and the ten's place are interchanged,difference between the newly formed number and the oiginal number is less than the original number by 1. What is the original number ?

A) 35	B) 36
C) 37	D) 39

Answer & Explanation Answer: C) 37

Explanation:

Let the ten's digit be x. Then, unit's digit = 2x + 1.

[10x + (2x + 1)] - [{10 (2x + 1) + x} - {10x + (2x + 1)}] = 1

<=> (12x + 1) - (9x + 9) = 1 <=> 3x = 9, x = 3.

So, ten's digit = 3 and unit's digit = 7. Hence, original number = 37.

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Filed Under: Problems on Numbers

58 42682

Q:

The age of a man is 4 times of his son. Five years ago, the man was nine times old as his son was at that time. The present age of man is?

Answer

Let the son's age be x years and the father's age be 4x years

$\Rightarrow (4x-5)=9(x-5)$

5x = 40

x = 8

$\inline \therefore$ present age of the father = $\inline 4x$ = $\inline 4\times 8$ = 32 years

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Subject: Problems on Ages

215 42594

Q:

Find the ratio of the areas of the incircle and circumcircle of a square.

A) 1:1	B) 1:2
C) 1:3	D) 1:4

Answer & Explanation Answer: B) 1:2

Explanation:

Let the side of the square be x. Then, its diagonal = $\sqrt{2 x^{2}} = \sqrt{2 x}$

Radius of incircle = $\frac{x}{2}$

Radius of circum circle= $\sqrt{2} \times \frac{x}{2} = \frac{x}{\sqrt{2}}$

Required ratio = $\frac{{πx}^{2}}{4} : \frac{{πx}^{2}}{2} = \frac{1}{4} : \frac{1}{2} = 1 : 2$

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

83 42455

Q:

The area of a square is 30.25 cm². Find its perimeter (in cm).

A) 44	B) 23
C) 22	D) 46

Answer & Explanation Answer: C) 22

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 42235

Q:

A and B started a business jointly A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is :

A) 22000	B) 28000
C) 32000	D) 36000

Answer & Explanation Answer: B) 28000

Explanation:

Suppose B invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.

So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.

B's profit : Total profit = 1 : 7.

Let the total profit be Rs. x Then, 1/7 = 4000/x or x = 28000.

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Filed Under: Partnership

32 42097

Q:

A trader sold an article at a loss of 5% but when he increased the selling price by Rs.65 he gained 3.33% on the cost price. If he sells the same article at Rs. 936, what is the profit percentage?

A) 15%	B) 16.66%
C) 20%	D) data insufficient

Answer & Explanation Answer: C) 20%

Explanation:

103.33 CP- 0.95 CP = 65

CP = Rs. 780

profit (%) = (936 - 780)/780 x 100 = 20%

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

126 42011

Quantitative Aptitude - Arithmetic Ability Questions

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