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: D) (tanA - tanB)/(1 + tanAtanB)

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Q:

If $\frac{\cos α}{\cos β} = m a n d \frac{\cos α}{\sin β} = n,$ then the value of $(m^{2} + n^{2}) \cos^{2} β$ is

A) n2	B) m2
C) mn	D) 1

Answer & Explanation Answer: A) n2

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Q:

If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ is

A) 1:√3	B) 1:3
C) 1:√2	D) 1:2

Answer & Explanation Answer: A) 1:√3

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Q:

If the speed of a boat in still water is 20 km/hr and the speed of the current is 5 km/hr, then the time taken by the boat to travel 100 km with the current is

A) 2 hrs	B) 3 hrs
C) 4 hrs	D) 7 hrs

Answer & Explanation Answer: C) 4 hrs

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Filed Under: Boats and Streams
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Q:

The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?

A) 18√3 sq cm	B) 9√3 sq cm
C) 18√2 sq cm	D) 9√2 sq cm

Answer & Explanation Answer: A) 18√3 sq cm

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Filed Under: Area
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Q:

Select the odd word from the given alternatives.

A) Cyan	B) Crimson
C) Indigo	D) Sky blue

Answer & Explanation Answer: B) Crimson

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Q:

If a - b = 2 and ab = 15, then what is the value of $a^{3} - b^{3}$ ?

A) 152	B) 112
C) 108	D) 98

Answer & Explanation Answer: D) 98

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Q:

What is the value of $\frac{5.6 x 0.36 + 0.42 x 3.2}{0.8 x 2.1}$ ?

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

Quantitative Aptitude - Arithmetic Ability Questions

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