6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm	B) 216 sq.cm
C) 144 sq.cm	D) Cannot be determined due to insufficient data

Answer & Explanation Answer: A) 288 sq.cm

Explanation:

Let lengths, breadth and height of cuboid be l, b and h respectively

According to question

l+b+h = 22cm......(i)

and

√(l^2+b^2+h^2) = 14cm .....(ii)

Surface area of cuboid = 2(lb+bh+lh)

Squaring eq (i) gives

l^{2} + b^{2} + h^{2}

+ 2(lb+bh+lh) = 484

Substituting l^2+b^2+h^2 from eq (i)

2(lb+bh+lh) = 484 -196 = 288 sq.cm

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Filed Under: Volume and Surface Area
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Q:

The area of an equilateral triangle is 9√3 sq cm, find height of the triangle?

A) 6 cm	B) 6√3 cm
C) 3√3 cm	D) 9 cm

Answer & Explanation Answer: C) 3√3 cm

Explanation:

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Filed Under: Area
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Q:

In the given figure, O is the centre of the circle and QOR = 50 deg, then what is the value of RPQ (in deg) ?

A) 15	B) 25
C) 20	D) 30

Answer & Explanation Answer: B) 25

Explanation:

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Filed Under: Area
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Q:

If the elevation of the Sun changes from 30° to 60° , then the difference between the lengths of shadows of a pole 15 m high, is

A) 7.5 m	B) 15 m
C) 10√3 m	D) 5√3 m

Answer & Explanation Answer: C) 10√3 m

Explanation:

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Filed Under: Height and Distance
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Q:

Two labourers A and B are paid a total of Rs. 1120 per day. If A is paid 180 percent of what is paid to B, how much (in Rs) is B paid?

A) 400	B) 720
C) 500	D) 620

Answer & Explanation Answer: A) 400

Explanation:

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Filed Under: Simplification
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Q:

$What is the value of [\tan^{2} (90 - θ) - \sin^{2} (90 - θ)] {cosec}^{2} (90 - θ) \cot^{2} (90 - θ) ?$

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

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Simplification
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Q:

Two numbers are 50% and 80% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A) 150 percent	B) 60 percent
C) 30 percent	D) 37.5 percent

Answer & Explanation Answer: A) 150 percent

Explanation:

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Filed Under: Percentage
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Q:

If 3x + 4y – 11 = 18 and 8x – 6y + 12 = 6, then what is the value of 5x – 3y – 9?

A) 18	B) – 9
C) – 27	D) – 18

Quantitative Aptitude - Arithmetic Ability Questions

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