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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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If a + b = 3 and ab = -4, then what is the value of $a^{3} + b^{3}$ ?

A) 36	B) 63
C) 12	D) -15

A) 36

B) 63

C) 12

D) -15

Answer & Explanation Answer: B) 63

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If a - b = 2 and ab = 24, then what is the value of $a^{3} - b^{3}$ ?

A) 280	B) 124
C) 140	D) 152

A) 280

B) 124

C) 140

D) 152

Answer & Explanation Answer: D) 152

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The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 7 cm what is the length of the side of the equilateral triangle?

A) 22/3 cm	B) 44/3 cm
C) 44 cm	D) 22 cm

A) 22/3 cm

B) 44/3 cm

C) 44 cm

D) 22 cm

Answer & Explanation Answer: B) 44/3 cm

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Calculate the value of $\frac{\sqrt 3}{\sqrt 3 + 3}$ , if √3 = 1.732

A) 0.366	B) 0.566
C) 0.356	D) 0.346

A) 0.366

B) 0.566

C) 0.356

D) 0.346

Answer & Explanation Answer: A) 0.366

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If $\frac{1}{p} + \frac{1}{q} = \frac{1}{p + q}$ , then the value of $p^{3} - q^{3}$

A) p-q	B) pq
C) 1	D) 0

A) p-q

B) pq

C) 1

D) 0

Answer & Explanation Answer: D) 0

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If 5(4-x) - 4 < 3x - 2 > 4x - 6; then the value of x is

A) 3	B) 1
C) 2	D) 5

A) 3

B) 1

C) 2

D) 5

Answer & Explanation Answer: A) 3

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If x - y = -6 and x + y = 16, then $x^{2} - y^{2}$ is?

A) 96	B) -96
C) 22	D) -22

A) 96

B) -96

C) 22

D) -22

Answer & Explanation Answer: B) -96

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If x = 1/(√2+1) then the value of $x^{2} + 2 x - 1$ is

A) 2√2	B) 4
C) 0	D) 2

A) 2√2

B) 4

C) 0

D) 2

Answer & Explanation Answer: C) 0

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