6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Diagonals of a Trapezium ABCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ΔAOB and ΔCOD is

A) 4:1	B) 1:16
C) 1:4	D) 16:1

Answer & Explanation Answer: A) 4:1

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Filed Under: Area
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Q:

From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of it's foot is at 45°, then the height of the tower is (√3=1.732)

A) 45.46 m	B) 45.64 m
C) 54.64 m	D) 54.46 m

Answer & Explanation Answer: C) 54.64 m

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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

The point P(-4,1) divides the segment joining the points (x,0) and (0,y) in the ratio 3:2. Find x and y?

A) x = -10; y = 5/3	B) x = -10; y = -5/3
C) x = 10; y = 5/3	D) x = 10; y = -5/3

Answer & Explanation Answer: A) x = -10; y = 5/3

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Filed Under: Simplification
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Q:

What is the value of $x^{4} + y^{4}$ when the value of $x^{3} + y^{3} = 8 and x + y = 2$ ?

A) 2	B) 8
C) 16	D) 32

Answer & Explanation Answer: C) 16

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Q:

If $\frac{3 a + 4 b}{3 c + 4 d} = \frac{3 a - 4 b}{3 c - 4 d}$ , then

A) ab = cd	B) ad = bc
C) ac = bd	D) a = b = c ≠ d

Answer & Explanation Answer: B) ad = bc

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Q:

The value of $8 (\sin^{6} θ + \cos^{6} θ) - 12 (\sin^{4} θ + \cos^{4} θ)$ is equal to

A) 20	B) -20
C) 4	D) -4

Answer & Explanation Answer: D) -4

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Q:

If ${(x - 2)}^{2} + {(y + 3)}^{2} + {(z - 15)}^{2} = 0$ , then what is the value of x + y + z – 5?

A) 5	B) 9
C) 15	D) 20

Answer & Explanation Answer: B) 9

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Q:

If 5x + 5 > 2 + 2x and 5x + 3 ≤ 4x + 5; then x can take which of the following values?

A) 3	B) -2
C) -3	D) 1

Quantitative Aptitude - Arithmetic Ability Questions

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