6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the value of $\frac{1}{\sin^{4} (90 - θ)} + \frac{1}{[\cos^{2} (90 - θ) - 1]}$ ?

A) tan2θ sec2θ	B) sec4θ
C) tan4θ	D) tan2θ sin2θ

Answer & Explanation Answer: A) tan2θ sec2θ

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Q:

What is the value of √[(1 - cosA)/(1 + cosA)]?

A) cosecA - cotA	B) cosecA + cotA
C) secA - cotA	D) secA + cotA

Answer & Explanation Answer: A) cosecA - cotA

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Q:

For triangle ABC, find equation of median AD if co-ordinates of A, B and C are (-1,-3), (5,-4) and (3,2) respectively?

A) 2x - 5y = 17	B) 2x - 5y = 13
C) 2x + 5y = 13	D) 2x + 5y = 17

Answer & Explanation Answer: B) 2x - 5y = 13

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Q:

If sum of the roots of a quadratic equation is -7 and product of the roots is 12. Find the quadratic equation.

A) x2 + 7x + 12 = 0	B) x2 - 7x + 12 = 0
C) x2 - 7x - 12 = 0	D) x2 + 7x - 12 = 0

Answer & Explanation Answer: A) x2 + 7x + 12 = 0

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Q:

The rate of simple interest for which a sum of money becomes 5 times in 8 years is

A) 30%	B) 40%
C) 50%	D) 55%

Answer & Explanation Answer: C) 50%

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Q:

If a + b = 1 and ab = -6, then what is the value of $a^{3} + b^{3}$ ?

A) 17	B) 15
C) 19	D) 13

Answer & Explanation Answer: C) 19

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Q:

What is the value of (cos45° + 1/3) ?

A) 2+√3	B) (2√2+1)/√2
C) (3+√2)/3√2	D) 5/√3

Answer & Explanation Answer: C) (3+√2)/3√2

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Q:

If $(x - 4) (x^{2} + 4 x + 16) = x^{3} - P$ , then P is equal to

A) 27	B) 8
C) 64	D) 0

Quantitative Aptitude - Arithmetic Ability Questions

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