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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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The value of $(x^{\frac{1}{3}} + x^{\frac{- 1}{3}}) (x^{\frac{2}{3}} - 1 + x^{\frac{- 2}{3}})$

A) x-1+x23	B) x+x-13
C) x13+x-1	D) x+x-1

A) x-1+x23

B) x+x-13

C) x13+x-1

D) x+x-1

Answer & Explanation Answer: C) x13+x-1

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1990

What is the value of [(tan 5θ + tan 3θ)/4 cos 4θ (tan 5θ – tan 3θ)]?

A) sin 2θ	B) cos 2θ
C) tan 4θ	D) cot 2θ

A) sin 2θ

B) cos 2θ

C) tan 4θ

D) cot 2θ

Answer & Explanation Answer: B) cos 2θ

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1990

If P/Q = R/S = T/U = 3/4 is (4P + 5R + 7T) : (3Q + 4S + 7U)?

A) 12:19	B) 6:7
C) 3:4	D) 5:8

A) 12:19

B) 6:7

C) 3:4

D) 5:8

Answer & Explanation Answer: B) 6:7

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

2 1990

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

A) 3/4	B) 4/5
C) 5/8	D) 7/8

A) 3/4

B) 4/5

C) 5/8

D) 7/8

Answer & Explanation Answer: D) 7/8

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1990

If 2 cos θ = 2 – sin θ, then what is the value of cos θ?

A) 1 or 3/5	B) 1 or –1/2
C) –1 or–1/2	D) –1 or 3/5

A) 1 or 3/5

B) 1 or –1/2

C) –1 or–1/2

D) –1 or 3/5

Answer & Explanation Answer: A) 1 or 3/5

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1989

The average weight of Somdev, Gurdeep and Ritu is 85 kg. If the average weight of Somdev and Gurdeep be 79 kg and that of Gurdeep and Ritu be 73 kg, then the weight of Gurdeep is

A) 78	B) 49
C) 72	D) 90

A) 78

B) 49

C) 72

D) 90

Answer & Explanation Answer: B) 49

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT

2 1989

In a class of 39 students there are 26 girls. The average weight of these girls is 42 Kgs and average weight of the full class is 48 kgs. What is the average weight (in kgs) of the boys of the class?