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 $[(\sin 59 ° \cos 31 ° + \cos 59 ° \sin 31 °) \div (\cos 20 ° \cos 25 ° - \sin 20 ° \sin 25 °)] ?$

A) 1/√2	B) 2√2
C) √3	D) √2

Answer & Explanation Answer: D) √2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A cylindrical vessel of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone? (Take π = 22/7)

A) 6.67 cm	B) 2.22 cm
C) 3.33 cm	D) 1.67 cm

Answer & Explanation Answer: A) 6.67 cm

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The area of a circle is 616 sq.m. Find its diameter.

A) 7 m	B) 14 m
C) 28 m	D) 56 m

Answer & Explanation Answer: C) 28 m

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The value of (1 - √2) + (√2 - √3) + (√3 - √4) + ..... + (√15 - √16) is

A) 0	B) 1
C) -3	D) 4

Answer & Explanation Answer: C) -3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Find the marked price if the selling price is Rs. 9250 and discount is 7.5%.

A) 9000	B) 8556.25
C) 10000	D) 9943.75

Answer & Explanation Answer: C) 10000

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

The value of -261+(-380)-(-521)+821-(-121)

A) 833	B) 825
C) 822	D) 800

Answer & Explanation Answer: C) 822

Explanation:

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Exam Prep: Bank Exams

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Q:

A certain amount of money is divided between A and B in the ratio of 5:6. If B gets Rs. 360, the amount is

A) 660	B) 560
C) 680	D) 580

Quantitative Aptitude - Arithmetic Ability Questions

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