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

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

If $x + \frac{1}{x} : x - \frac{1}{x} = 5 : 3$ then the value of x is

A) +- 1	B) +-2
C) +-3	D) +-4

A) +- 1

B) +-2

C) +-3

D) +-4

Answer & Explanation Answer: B) +-2

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Filed Under: Simplification

Two buses travel to a place at 45 km/hr and 60 km/hr respectively. If the second bus takes 51⁄2 hours less than the first for the journey, the length of the journey is:

A) 900 km	B) 940 km
C) 990 km	D) 1300 km

A) 900 km

B) 940 km

C) 990 km

D) 1300 km

Answer & Explanation Answer: C) 990 km

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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