6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

$If a^{3} + b^{3} = 35 and ab = 6, then what is the value of a + b ?$

A) 5	B) 8
C) 2	D) -8

Answer & Explanation Answer: A) 5

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If $\frac{3 a + 4 b}{3 c + 4 d} = \frac{3 a - 4 b}{3 c - 4 d}$ , then

A) ab = cd	B) ad = bc
C) ac = bd	D) a = b = c ≠ d

Answer & Explanation Answer: B) ad = bc

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Exam Prep: Bank Exams

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Q:

$If a^{3} + 3 a^{2} + 9 a = 1, then what is the value of a^{3} + (3 / a) ?$

A) 31	B) 26
C) 28	D) 24

Answer & Explanation Answer: C) 28

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Exam Prep: Bank Exams

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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm	B) 1.5 cm
C) 1 cm	D) 2.5 cm

Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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

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Q:

The average of 9 observations was found to be 35. Later on, it was detected that an observation 81 was misread as 18. The correct average of the observations is

A) 28	B) 42
C) 35	D) 45

Answer & Explanation Answer: B) 42

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

After allowing a discount of 20% on Marked price Kishore makes a profit of 12%. What percentage is the Marked price above the Cost price?

A) 40%	B) 32%
C) 25%	D) 8%

Answer & Explanation Answer: A) 40%

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

What is the difference (in Rs) between the compound interests on Rs. 4000 for 1 year at 12% per annum compounded yearly and half-yearly?

A) 14.4	B) 12.4
C) 10.4	D) 16.4

Answer & Explanation Answer: A) 14.4

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Filed Under: Compound Interest
Exam Prep: Bank Exams

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Q:

Simplify $486 b^{3} x^{2} a^{4} z^{3} / 27 a^{3} b^{2} z$

A) 18bx2az2	B) 18bx2a2z
C) 36ba2z	D) 36bxaz

Quantitative Aptitude - Arithmetic Ability Questions

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