6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If tanA + tanB = X, then the value of X is

A) (tanA - tanB)/(1 + tanAtanB)	B) (tanA + tanB)/(1 - tanAtanB)
C) (tanA + tanB)/(1 + tanAtanB)	D) (tanA - tanB)/(1 - tanAtanB)

Answer & Explanation Answer: B) (tanA + tanB)/(1 - tanAtanB)

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Q:

If p = 99, then the value of $p (p^{2} + 3 p + 3)$ will be

A) 999999	B) 1000000
C) 1000001	D) 999998

Answer & Explanation Answer: A) 999999

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Q:

If $P + \frac{1}{P + 2} = 1,$ then the value of ${(P + 2)}^{3} + \frac{1}{{(P + 2)}^{3}} - 3$ ?

A) 12	B) 16
C) 18	D) 15

Answer & Explanation Answer: D) 15

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Q:

What is the value of ${[\tan (90 - A) + \cot (90 - A)]}^{2} / [2 \sec^{2} (90 - 2 A)]$ ?

A) 0	B) 1
C) 2	D) – 1

Answer & Explanation Answer: C) 2

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Q:

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 16854, and Rs 17865.24 respectively, what is the rate of interest?

A) 3 percent	B) 12 percent
C) 6 percent	D) 10 percent

Answer & Explanation Answer: C) 6 percent

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Filed Under: Compound Interest
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Q:

The area of a triangle ABC is 63 sq.units. Two parallel lines DE, FG, are drawn such that they divide the line segments AB and AC into three equal parts. What is the area of the quadrilateral DEGF?

A) 28 sq.units	B) 35 sq.units
C) 21 sq.units	D) 48 sq.units

Answer & Explanation Answer: C) 21 sq.units

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Filed Under: Volume and Surface Area
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Q:

When 0.363636.....is converted into a fraction, then the result is _____.

A) 7/11	B) 4/11
C) 14/33	D) 8/33

Answer & Explanation Answer: B) 4/11

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Q:

If 2y cosθ = x sinθ and 2x secθ - y cosecθ = 3 then what is the value of $x^{2} + 4 y^{2}$

A) 4	B) 1
C) 2	D) 5

Quantitative Aptitude - Arithmetic Ability Questions

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