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Q:

If a - b = 3 and $a^{2} + b^{2} = 25$ , then the value of ab is

A) 16	B) 8
C) 10	D) 15

Answer & Explanation Answer: B) 8

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

If ${(x + \frac{1}{x})}^{2} = 3$ , then the value of $x^{3} + \frac{1}{x^{3}}$ is:

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

Answer & Explanation Answer: A) 0

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

If tanθ + cotθ = 5, then the value of $\tan^{2} θ + \cot^{2} θ is$

A) 22	B) 23
C) 24	D) 25

Answer & Explanation Answer: B) 23

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

If l + m + n = 9 and $l^{2} + m^{2} + n^{2} = 31$ , then the value of lm + mn + nl will be

A) 22	B) 50
C) 25	D) -25

Answer & Explanation Answer: C) 25

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Filed Under: Simplification

Q:

If $\frac{2 p}{p^{2} - 2 p + 1} = \frac{1}{4}$ , then the value of (p + 1/p) will be

A) 8	B) 10
C) 12	D) None of these

Answer & Explanation Answer: B) 10

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

If $\sin^{8} θ + \cos^{8} θ - 1 = 0$ , then what is the value of $\cos^{2} θ \sin^{2} θ$ (If θ ≠ 0 or π/2)?

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

Answer & Explanation Answer: D) 2

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

What is the simplified value of $[(\sec^{3} x - \tan^{3} x) / (\sec x - \tan x)] - 2 \tan^{2} x - \sec x \tan x ?$

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

Answer & Explanation Answer: D) 1

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

In this question, the sets of numbers given in the alternatives are represented. The columns and rows of Matrix I are numbered from 0 to 4 and that ofMatrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., D can be represented by 02, 10,etc., and 'R' can be represented by 55, 67, etc. Similarly you have to identify the set for the word 'BEAR'.

A) 13,11,12,78	B) 31,22,23,97
C) 42,34,42,79	D) 24,40,23,67

Answer & Explanation Answer: D) 24,40,23,67

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Filed Under: Verbal Reasoning - Mental Ability

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