6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given options.

A) 57 – 53	B) 47 – 41
C) 67 – 63	D) 71 – 67

Answer & Explanation Answer: B) 47 – 41

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If a--b = 4 and ab = 45, find the value of $a^{3} - b^{3}$

A) 604	B) 370
C) 253	D) 199

Answer & Explanation Answer: A) 604

Explanation:

${(a - b)}^{2} = a^{2} + b^{2} - 2 ab \Rightarrow 16 = a^{2} + b^{2} - 90 \Rightarrow a^{2} + b^{2} = 106 a^{3} - b^{3} = (a - b) (a^{2} + b^{2} + ab) \Rightarrow a^{3} - b^{3} = 4 X (106 + 45) \Rightarrow a^{3} - b^{3} = 4 X 151 \Rightarrow a^{3} - b^{3} = 604$

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

For $x = \frac{4 \sqrt{6}}{\sqrt{2} + \sqrt{3}}, what is the value of \frac{x + 2 \sqrt{2}}{x - 2 \sqrt{2}} + \frac{x + 2 \sqrt{3}}{x - 2 \sqrt{3}}$

A) 1	B) √2
C) √3	D) 2

Answer & Explanation Answer: D) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If θ is positive acute angle and $4 \sin^{2} θ = 3$ , then the value of tan θ - cot θ/2 is

A) 1	B) 0
C) √3	D) 1/√3

Answer & Explanation Answer: B) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

On a certain Principal if the Simple interest for two years is Rs 4800 and Compound interest for the two years is Rs 5088, what is the rate of Interest?

A) 6 percent	B) 24 percent
C) 12 percent	D) 18 percent

Answer & Explanation Answer: C) 12 percent

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

Sound travels at 330 metres per second. The distance (in kilometres) of a thunder cloud when its sound follows the flash after 10 seconds

A) 0.33 km	B) 3.3 km
C) 33 km	D) 33.3 km

Answer & Explanation Answer: B) 3.3 km

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface area (in cm2) of each part?

A) 96 + 64√2	B) 80 + 64√2
C) 96 + 48√2	D) 80 + 48√2

Answer & Explanation Answer: A) 96 + 64√2

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

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Q:

Three consecutive angles of a cycle quadrilateral are in the ratio of 1 : 4 : 5 . The measure of fourth angle is

A) 120°	B) 60°
C) 30°	D) 80°

Quantitative Aptitude - Arithmetic Ability Questions

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