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$If {(a + \frac{1}{a})}^{2} = 3, then the value of a^{18} + a^{12} + a^{6} + 1 is$

A) 3	B) 1
C) 0	D) 2

A) 3

B) 1

C) 0

D) 2

Answer & Explanation Answer: C) 0

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If $p^{3} - q^{3} = (p - q) ({(p - q)}^{2} + x p q)$ then value of x is

A) 1	B) 2
C) 3	D) 0

A) 1

B) 2

C) 3

D) 0

Answer & Explanation Answer: C) 3

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Filed Under: Quantitative Aptitude - Arithmetic Ability

$If rsin \emptyset = 1, rcos \emptyset = \sqrt 3, then the value of r^{2} \tan \emptyset is$

A) 4	B) 1/√3
C) 4/√3	D) 4√3

A) 4

B) 1/√3

C) 4/√3

D) 4√3

Answer & Explanation Answer: C) 4/√3

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Filed Under: Quantitative Aptitude - Arithmetic Ability

The average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th innings so that his average of runs in 100 innings may be 100?

A) 100	B) 99
C) 199	D) 101

A) 100

B) 99

C) 199

D) 101

Answer & Explanation Answer: C) 199

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Filed Under: Average
Exam Prep: Bank Exams

$(113^{2} + 115^{2} + 117^{2} - 113 x 115 - 115 x 117 - 117 x 113)$ is equal to

A) 0	B) 4
C) 8	D) 12

A) 0

B) 4

C) 8

D) 12

Answer & Explanation Answer: D) 12

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If $4 x^{2} - 12 x + k$ is a perfect square, then the value of k is

A) 9	B) 12
C) 10	D) 14

A) 9

B) 12

C) 10

D) 14

Answer & Explanation Answer: A) 9

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Filed Under: Quantitative Aptitude - Arithmetic Ability

The value of $(1 + \tan^{2} \emptyset) (1 - \sin^{2} \emptyset)$ is

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

A) 2

B) 1

C) -1

D) -2

Answer & Explanation Answer: B) 1

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Filed Under: Quantitative Aptitude - Arithmetic Ability

In $∆ ABC, ∡ A + ∡ B = 75 and ∡ B + ∡ C = 140, then ∡ B =$

A) 40	B) 35
C) 55	D) 45

A) 40

B) 35

C) 55

D) 45

Answer & Explanation Answer: B) 35

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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