6500+ Quantitative Aptitude Questions and Answers With Explanation

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:

What is the value of sin (B – C) cos (A – D) + sin (A – B) cos (C – D) + sin (C – A) cos (B – D)?

A) 3/2	B) – 3
C) 1	D) 0

Answer & Explanation Answer: D) 0

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The simplest form of 3565/1495 is

A) 31/13	B) 43/19
C) 23/13	D) 31/23

Answer & Explanation Answer: A) 31/13

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In the following question, select the odd number group from the given alternatives.

A) (4, 16, 48)	B) (6, 36, 90)
C) (8, 64, 160)	D) (12, 144, 360)

Answer & Explanation Answer: A) (4, 16, 48)

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If the population of a town increases by 25% in the first year and increases by 36% in the second year, then what is the average rate (in percentage)of increase in the population?

A) 26	B) 30.5
C) 31.66	D) 35

Answer & Explanation Answer: D) 35

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

On a ground , there is a vertical tower with a flagpole on its top . At a point 9 m away from the foot of the tower , the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively . The height of the flagpole is

A) 5√3 m	B) 6√3 m
C) 6√2m	D) 6√5 m

Answer & Explanation Answer: B) 6√3 m

Explanation:

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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

Two students appeared for an examination. One of them secured 13 marks more than the other and his marks were 76% of the sum of their marks. The marks obtained by them are

A) 19 and 6	B) 34 and 21
C) 102 and 89	D) 92 and 79

Answer & Explanation Answer: A) 19 and 6

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If $\frac{a^{2} + b^{2}}{c^{2}} = \frac{b^{2} + c^{2}}{a^{2}} = \frac{c^{2} + a^{2}}{b^{2}} = \frac{1}{k} (k \neq 0)$ then k =

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

Quantitative Aptitude - Arithmetic Ability Questions

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