6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

$∆ DEF$ is right angled at E. If tanD = 4/3, then what is the value of tanF ?

A) 3/4	B) 5/3
C) 4/5	D) 4/3

Answer & Explanation Answer: A) 3/4

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Q:

The distance between the points (11,5) and (k,0) is 13. Find k.

A) k = 1 or 23	B) k = -1 or 23
C) k = 1 or -23	D) k = -1 or -23

Answer & Explanation Answer: B) k = -1 or 23

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Q:

What is the value of 99992 x 100008?

A) 9999999936	B) 9999899936
C) 9999999836	D) 9999999926

Answer & Explanation Answer: A) 9999999936

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Q:

If $x = \frac{\sqrt{5} + 1}{\sqrt{5} - 1} & y = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}$ , then find the value of $x^{2} - y^{2}$ .

A) √5	B) 2√5
C) 3√5	D) 4√5

Answer & Explanation Answer: C) 3√5

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Q:

What is the ratio of radius of incircle and circumcircle for an equilateral triangle with an area of 22√3 sq. units?

A) 1/2	B) 1/4
C) 1/3	D) 2/3

Answer & Explanation Answer: A) 1/2

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Q:

3cosA is equal to

A) 4cos3A + 3cosA	B) 4cos3A - 3cosA
C) 3cos3A + 3cosA	D) 3cos3A - 3cosA

Answer & Explanation Answer: B) 4cos3A - 3cosA

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Q:

If (cotAcotB - 1) / (cotB + cotA) = x, then the value of x is

A) cot(A - B)	B) tan(A + B)
C) cot(A + B)	D) tan(A - B)

Answer & Explanation Answer: C) cot(A + B)

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Q:

What is the value of $S = \frac{1}{1 x 3 x 5} + \frac{1}{1 x 4} + \frac{1}{3 x 5 x 7} + \frac{1}{4 x 7} + \frac{1}{5 x 7 x 9} + \frac{1}{7 x 10} + . . .$ upto 20 terms. Then what is the value of S?

A) 6179/15275	B) 6070/14973
C) 7191/15174	D) 5183/16423

Quantitative Aptitude - Arithmetic Ability Questions

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