6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If a + b + c = 9, ab + bc + ca = 26, $a^{3} + b^{3} = 91, b^{3} + c^{3} = 72 and c^{3} + a^{3} = 35$ , then what is the value of abc?

A) 48	B) 24
C) 36	D) 42

Answer & Explanation Answer: B) 24

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If $cotA / \sqrt (1 + \cot^{2} A) = x$ , then the value of x is

A) sinA	B) cosecA
C) secA	D) cosA

Answer & Explanation Answer: D) cosA

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The value of $\cos^{2} 20 ° + \cos^{2} 70 °$ is

A) √2	B) 2
C) 1	D) 1/√2

Answer & Explanation Answer: C) 1

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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:

In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what percent passed in both the subjects?

A) 77	B) 58
C) 48	D) 23

Answer & Explanation Answer: D) 23

Explanation:

No of students failed in English only = 52 –17 = 35

No of students failed in maths only = 42 –17 = 25

Total no of failed students in either of the subjects = 35+17+25 = 77

No of passed student in both subjects = 100 –77 = 23

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

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Q:

A man covered a certain distance by a train at the speed of 40 km/hr and covers the same distance back by walking at the speed of 8 km/hr. Ifthe whole journey took 12 hours, then what is the one side distance (in km)?

A) 80	B) 60
C) 90	D) 100

Answer & Explanation Answer: A) 80

Explanation:

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is

A) 2:3	B) 3:2
C) 9:4	D) 4:9

Answer & Explanation Answer: D) 4:9

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 396, then what is the difference between the first and the third number?

A) 594	B) 448
C) 432	D) 453

Quantitative Aptitude - Arithmetic Ability Questions

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