6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Solve the following equation to find x: ${(x - 2)}^{2} - 36 = 0 : xεN$

A) 4	B) 8
C) -4	D) -8

Answer & Explanation Answer: B) 8

Explanation:

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

0 1723

Q:

A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?

A) 240	B) 120
C) 60	D) 90

Answer & Explanation Answer: C) 60

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Filed Under: Area
Exam Prep: Bank Exams

0 1723

Q:

If $\tan^{2} A / {(secA - 1)}^{2} = x$ , then the value of x is

A) (1+cosecA) / (1-cosecA)	B) (1+cosA)(1-cosA)
C) (1+cosA) / (1-cosA)	D) (1+cosecA)(1-cosecA)

Answer & Explanation Answer: C) (1+cosA) / (1-cosA)

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Exam Prep: Bank Exams

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Q:

What number should be added to each of the numbers 94, 24, 100 and 26, so that the resulting numbers are in continued proportion?

A) 10	B) 11
C) 9	D) 8

Answer & Explanation Answer: B) 11

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

5 1722

Q:

Out of the 60 students of a class, 29 took Mathematics, 32 took Biology and 8 took none of the two subjects. How many students took both Mathematics and Biology?

A) 8	B) 9
C) 7	D) 6

Answer & Explanation Answer: B) 9

Explanation:

Number of students who took only Mathematics n(m) = 29
Number of students who took only biology n(b) = 32
Total number of students n(t) = 60
Total number of students of both mathematics and biology n(m b) = 60 - 8 = 52
Total number of students who took both = 32 + 29 - 52 = 9

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Q:

If $x + \frac{1}{x} \neq 0 and x^{3} + \frac{1}{x^{3}} = 0, then the value of {(x + \frac{1}{x})}^{4} is :$

A) 9	B) 12
C) 15	D) 16

Answer & Explanation Answer: A) 9

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0 1721

Q:

If (4x - 3) = (3x + 8), then the numerical value of ${(x + 1)}^{3}$ is

A) 1331	B) 1000
C) 1728	D) 729

Answer & Explanation Answer: C) 1728

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Q:

What is the value of sin 300°?

A) -1/2	B) 2
C) 2/√3	D) -√3/2

Quantitative Aptitude - Arithmetic Ability Questions

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