6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If secA - tanA = x, then the value of x is

A) √[(1 + sinA)/(1 - sinA)]	B) √[(1-sinA)/(1+sinA)]
C) (1-sinA)/(1+sinA)	D) (1 + sinA)/(1 - sinA)

Answer & Explanation Answer: B) √[(1-sinA)/(1+sinA)]

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Q:

The simplest form of 3565/1495 is

A) 31/13	B) 43/19
C) 23/13	D) 31/23

Answer & Explanation Answer: A) 31/13

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Q:

If x + y = 12 and $x^{2} + y^{2} = 94$ , then xy is

A) 25	B) 50
C) 144	D) 238

Answer & Explanation Answer: A) 25

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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:

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?

A) 3	B) 4
C) 5	D) 6

Answer & Explanation Answer: C) 5

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams , CAT

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Q:

If $a^{3} + b^{3} = 35$ and ab = 6, then what is the value of a + b?

A) 5	B) 8
C) 2	D) -8

Answer & Explanation Answer: A) 5

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Q:

If $(3^{33} + 3^{33} + 3^{33}) (2^{33} + 2^{33}) = 6^{x}$ , then what is the value of x?

A) 34	B) 35
C) 33	D) 33.5

Answer & Explanation Answer: A) 34

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Q:

What is the value of $\tan 1 ° \tan 2 ° \tan 3 ° . . . . . . . \tan 89 °$ ?

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

Quantitative Aptitude - Arithmetic Ability Questions

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