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

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If $a + \frac{1}{b} = 1 and b + \frac{1}{c} = 1$ , then the value of $c + \frac{1}{a}$ is

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

Answer & Explanation Answer: B) 1

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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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Q:

$If a + b = 8 and ab = 15, then a^{3} + b^{3} is$

A) 224	B) 244
C) 152	D) 128

Answer & Explanation Answer: C) 152

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Q:

If 177 is divided into 3 parts in the ratio 1/2 : 2/3: 4/5, then the second part is

A) 75	B) 45
C) 72	D) 60

Answer & Explanation Answer: D) 60

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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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:

A train left 1 hour later than the scheduled time but in order to reach its destination 200 km away in time, it had to increase its usual speed by 10 km/hr. What is the usual speed (in km/hr) of the train?

A) 38	B) 42
C) 45	D) 40

Answer & Explanation Answer: D) 40

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Filed Under: Problems on Trains
Exam Prep: Bank Exams , CAT

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Q:

In a triangle PQR, ∠Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circum circle of the triangle?

A) 5	B) 6
C) 6.5	D) 6√2

Quantitative Aptitude - Arithmetic Ability Questions

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