6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?

A) 13 cm	B) 14 cm
C) 16 cm	D) 12 cm

Answer & Explanation Answer: A) 13 cm

Explanation:

Let height =x Then, base =2x

2x * x = 338

=>x=13

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Q:

What is the area (in sq cm) of a rectangle of perimeter 90 cm and breadth 20 cm?

A) 500	B) 400
C) 250	D) 450

Answer & Explanation Answer: A) 500

Explanation:

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Q:

If 1 shirt is offered free on purchase of 3 shirts priced Rs 500 each, then what is the effective discount on each shirt?

A) 30 percent	B) 33 percent
C) 20 percent	D) 25 percent

Answer & Explanation Answer: D) 25 percent

Explanation:

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Filed Under: Percentage
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Q:

If ab = 21 and $\frac{{(a + b)}^{2}}{{(a - b)}^{2}} = \frac{25}{4}$ ,then the value of $a^{2} + b^{2} + 3 ab$

A) 115	B) 121
C) 125	D) 127

Answer & Explanation Answer: B) 121

Explanation:

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Q:

In a class there were 28 boys and some girls. In a test the mean score obtained by the boys was 12.5 while that obtained by the girls was 14.5. If the overall average was 13.1, what was the total number of students in the class?

A) 42	B) 44
C) 40	D) 38

Answer & Explanation Answer: C) 40

Explanation:

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Filed Under: Average
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Q:

In a triangle the length of the side opposite the angle which measures 30 degree is 12 cm, what is the length of the side opposite to the angle which measures 60 degree?

A) 9 cm	B) 12√3 cm
C) (15√3)/2 cm	D) (9√3)/2 cm

Answer & Explanation Answer: B) 12√3 cm

Explanation:

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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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Q:

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

A) 170	B) 290
C) 360	D) 530

Quantitative Aptitude - Arithmetic Ability Questions

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