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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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If cot -4π/3 = x, then the value of x is

A) -1	B) -1/√3
C) √3	D) 1

A) -1

B) -1/√3

C) √3

D) 1

Answer & Explanation Answer: B) -1/√3

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ΔDEF is right angled at E. If m∠D = 45°, then find the value of (tanF + 1/3).

A) 4/3	B) 3√3/2
C) (√2+1)/√2	D) (3√2+1)/3

A) 4/3

B) 3√3/2

C) (√2+1)/√2

D) (3√2+1)/3

Answer & Explanation Answer: A) 4/3

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If 2cosAsinB = x, then the value of x is?

A) sin(A+B) + sin(A-B)	B) cos(A+B) + cos(A-B)
C) sin(A+B) - sin(A-B)	D) cos(A-B) - cos(A+B)

A) sin(A+B) + sin(A-B)

B) cos(A+B) + cos(A-B)

C) sin(A+B) - sin(A-B)

D) cos(A-B) - cos(A+B)

Answer & Explanation Answer: C) sin(A+B) - sin(A-B)

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In ΔABC measure of angle B is $90^{0}$ . If cotA = 8/15, and AB = 0.8cm, then what is the length (in cm) of side BC?

A) 1.7	B) 2
C) 1.5	D) 2.5

A) 1.7

B) 2

C) 1.5

D) 2.5

Answer & Explanation Answer: C) 1.5

Explanation:

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If x = 11, the value of $x^{5} - 12 x^{4} + 12 x^{3} - 12 x^{2} + 12 x - 1$ is

A) 11	B) 10
C) 12	D) -10

A) 11

B) 10

C) 12

D) -10

Answer & Explanation Answer: B) 10

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If (1 - cosA)/(1 + cosA) = x, then the value of x is

A) (cotA + cosecA)2	B) (cotA - cosecA)2
C) cotA - cosecA	D) cotA + cosecA

A) (cotA + cosecA)2

B) (cotA - cosecA)2

C) cotA - cosecA

D) cotA + cosecA

Answer & Explanation Answer: B) (cotA - cosecA)2

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If x + y = 3, then what is the value of $x^{3} + y^{3} + 9 xy$ ?

A) 15	B) 81
C) 27	D) 9

A) 15

B) 81

C) 27

D) 9

Answer & Explanation Answer: C) 27

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If 4x -7 < x - 2 and 5x +2/3 ≥ 3x + 1; then x can take which of the following values?

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

A) 2

B) -1

C) -2

D) 1

Answer & Explanation Answer: D) 1

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