6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If secθ = cosecq with 0° < θ , q < 90°, then the value of sin (θ + q) is

A) 1	B) 0
C) 2	D) 4

Answer & Explanation Answer: A) 1

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Q:

What is the simplified value of $(\cos^{4} A - \sin^{4} A)$ ?

A) 0	B) 2 cos2 A
C) cos2A	D) 1

Answer & Explanation Answer: C) cos2A

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Q:

${tanAcosec}^{2} A$ is equal to

A) (1 + tan2A)cotA	B) (1 - tan2A)cotA
C) √[(1 + tan2A)cotA]	D) √[(1 - tan2A)cotA]

Answer & Explanation Answer: A) (1 + tan2A)cotA

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Q:

Simplify : ${(13)}^{2} - {(14)}^{2} + {(17)}^{2} - 250 = \sqrt{?}$

A) 196	B) 169
C) 121	D) 144

Answer & Explanation Answer: D) 144

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Q:

List price of TV is Rs. 2300 and discount series found to be 25% and 10%. Then the selling price of TV is

A) Rs.1255.5	B) Rs.1525.5
C) Rs.1552.5	D) Rs.1555.2

Answer & Explanation Answer: C) Rs.1552.5

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Q:

If $x + \frac{1}{x} = 5,$ then the value of $\frac{x}{1 + x + x^{2}}$ is

A) 1/5	B) 1/6
C) 5	D) 6

Answer & Explanation Answer: B) 1/6

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Q:

If a + b = 4 and ab = -5, then what is the value of $a^{3} + b^{3}$ ?

A) 34	B) 36
C) 124	D) 126

Answer & Explanation Answer: C) 124

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Q:

A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?

A) 20√3	B) 30(√3 + 1)
C) 40(√3 – 1)	D) 50(√3 – 1)

Quantitative Aptitude - Arithmetic Ability Questions

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