6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If ${(x + y)}^{2} = xy + 1$ and $x^{3} - y^{3} = 1$ , then what is the value of x – y?

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

Answer & Explanation Answer: A) 1

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Q:

What is the value of $\sin (90 ° + 2 A) [4 - \cos 2 (90 ° - 2 A)] ?$

A) 2(cos3 A – sin3 A)	B) 2(cos3 A + sin3 A)
C) 4(cos6 A+ sin6 A)	D) 4(cos6 A – sin6 A)

Answer & Explanation Answer: D) 4(cos6 A – sin6 A)

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Q:

On dividing $8 a^{2} b^{2} c^{2} by 4 a^{2}$ , we get

A) 2b2	B) 2c2
C) 2b2c2	D) 2

Answer & Explanation Answer: C) 2b2c2

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Q:

Determine the value of $\frac{a^{2} + b^{2}}{a^{3} + b^{3}}$ when a = 2+√3 and b = 2-√3.

A) 0.27	B) 0.42
C) 0.58	D) 0.93

Answer & Explanation Answer: A) 0.27

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Q:

If x + 1/x = 6, then value of $x^{2} + 1 / x^{2}$ is

A) 23	B) 16
C) 34	D) 32

Answer & Explanation Answer: C) 34

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Q:

If a = √2 + 1 and b = √2 - 1, then the value of $\frac{1}{a + 1} + \frac{1}{b + 1}$ will be

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

Answer & Explanation Answer: B) 1

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Q:

15 years ago Cynthia was thrice as old as Brittany. The sum of their present ages is 94 years. How old is Brittany now?

A) 33 years	B) 32 years
C) 30 years	D) 31 years

Answer & Explanation Answer: D) 31 years

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Q:

In a match, average of runs scored by 7 players is 53. If the runs scored by 6 players are 121, 40, 26, 56, 37 and 48, then how many runs did the 7th player scored?

A) 26	B) 37
C) 43	D) 48

Quantitative Aptitude - Arithmetic Ability Questions

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