6500+ Quantitative Aptitude Questions and Answers With Explanation

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

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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

Explanation:

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0 1721

Q:

What is the value of sin 300°?

A) -1/2	B) 2
C) 2/√3	D) -√3/2

Answer & Explanation Answer: D) -√3/2

Explanation:

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Q:

If a – b = 11 and ab = 24, then value of $a^{2} + b^{2}$ is

A) 169	B) 37
C) 73	D) 48

Answer & Explanation Answer: A) 169

Explanation:

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Q:

If cos3A = X, then value of X?

A) 4cos3A - 3cosA	B) 4cos3A + 3cosA
C) 3cosA - 4cos3A	D) cosA + 4cos3A

Answer & Explanation Answer: A) 4cos3A - 3cosA

Explanation:

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Q:

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?

A) 5√10	B) 4√10
C) 8√5	D) 16√2

Answer & Explanation Answer: A) 5√10

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

Deepak marks the price of his table 60% above the cost price. He gives some discount on it and earns profit of 15.2%. What is the discount percentage?

A) 36.4	B) 28
C) 44.8	D) 38.9

Answer & Explanation Answer: B) 28

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams , CAT

3 1721

Q:

What is the simplified value of $[(\sec^{3} x - \tan^{3} x) / (\sec x - \tan x)] - 2 \tan^{2} x - \sec x \tan x ?$

A) 0	B) 2
C) -1	D) 1

Quantitative Aptitude - Arithmetic Ability Questions

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