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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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What is the value of $x^{4} + y^{4}$ when the value of $x^{3} + y^{3} = 8 and x + y = 2$ ?

A) 2	B) 8
C) 16	D) 32

A) 2

B) 8

C) 16

D) 32

Answer & Explanation Answer: C) 16

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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ΔABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of ΔABC : the area of the trapezium ADEC is

A) 5:3	B) 4:1
C) 8:5	D) 4:3

A) 5:3

B) 4:1

C) 8:5

D) 4:3

Answer & Explanation Answer: D) 4:3

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Mr. Mahesh sold a bus for Rs. 22,100 with a loss of 15%. At what price should the bus be sold to get a profit of 15%?

A) 29,700	B) 30,000
C) 29,800	D) 29,900

A) 29,700

B) 30,000

C) 29,800

D) 29,900

Answer & Explanation Answer: D) 29,900

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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If the length of the side of an equilateral triangle is 6 cm, what is its area?

A) 18√3 sq cm	B) 36√3 sq cm
C) 27√3 sq cm	D) 9√3 sq cm

A) 18√3 sq cm

B) 36√3 sq cm

C) 27√3 sq cm

D) 9√3 sq cm

Answer & Explanation Answer: D) 9√3 sq cm

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Filed Under: Area
Exam Prep: Bank Exams

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What is the value of $[(\sec 2 θ + 1) \sqrt{\sec^{2} θ - 1}] x \frac{1}{2} (cotθ - tanθ)$ ?

A) 0	B) 1
C) cosec θ	D) sec θ

A) 0

B) 1

C) cosec θ

D) sec θ

Answer & Explanation Answer: B) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

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If √[(1 - cosA)/2] = x, then the value of x is

A) cos(A/2)	B) tan(A/2)
C) sin(A/2)	D) cot(A/2)

A) cos(A/2)

B) tan(A/2)

C) sin(A/2)

D) cot(A/2)

Answer & Explanation Answer: C) sin(A/2)

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Filed Under: Simplification
Exam Prep: Bank Exams

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What is the value of (cos45° + 1/3) ?

A) 2+√3	B) (2√2+1)/√2
C) (3+√2)/3√2	D) 5/√3

A) 2+√3

B) (2√2+1)/√2

C) (3+√2)/3√2

D) 5/√3

Answer & Explanation Answer: C) (3+√2)/3√2

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Filed Under: Simplification
Exam Prep: Bank Exams

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If $x = \frac{4 \sqrt{ab}}{\sqrt{a} + \sqrt{b}}$ , then what is the value of $\frac{x + 2 \sqrt{a}}{x - 2 \sqrt{a}} + \frac{x + 2 \sqrt{b}}{x - 2 \sqrt{b}}$ ?

A) 0	B) 2
C) 4	D) 1

A) 0

B) 2

C) 4

D) 1

Answer & Explanation Answer: B) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

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