6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Breadth of a rectangle is equal to the diagonal of the square whose side is 2.5√2 cm. Ratio between length and breadth of rectangle is 3 : 1. Find the area of the rectangle (in cm2).

A) 75	B) 90
C) 85	D) 80

Answer & Explanation Answer: A) 75

Explanation:

Diagonal of Square = Side √2= 2.5√2 × √2= 5 cm
Breadth = 5 cm
Length of rectangle = 5 × 3 = 15 cm
Area of rectangle = 15 × 5 = 75 cm2

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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Q:

The average age of 40 students of a class is 16 years. If the average age of 24 students is 15.5 years and that of the 15 students is 16 2⁄3 years, then the age of 40th student is

A) 17	B) 16
C) 16.5	D) 18

Answer & Explanation Answer: D) 18

Explanation:

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

If $12 x = 19^{2} - 11^{2}$ , what is the value of x?

A) 20	B) 17
C) 13	D) 11

Answer & Explanation Answer: A) 20

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If a - b = -1 and ab = 6, then what is the value of $a^{3} - b^{3}$ ?

A) 33	B) -19
C) 18	D) 35

Answer & Explanation Answer: B) -19

Explanation:

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Exam Prep: Bank Exams

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Q:

If x + 1/x = 6, then value of $x^{2} + 1 / x^{2}$ is

A) 23	B) 16
C) 34	D) 32

Answer & Explanation Answer: C) 34

Explanation:

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Q:

If $C + \frac{1}{C} = \sqrt{3}$ , then what is the value of $C^{3} + \frac{1}{C^{3}} = ?$

A) 0	B) 3√3
C) 1/√3	D) 6√3

Answer & Explanation Answer: A) 0

Explanation:

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Exam Prep: Bank Exams

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Q:

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

A) tanA	B) sinA
C) cosA	D) cotA

Answer & Explanation Answer: D) cotA

Explanation:

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Exam Prep: Bank Exams

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Q:

The areas of two similar triangles ΔABC and ΔPQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?

A) 16	B) 12
C) 8	D) 6

Quantitative Aptitude - Arithmetic Ability Questions

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