Quantitative Aptitude - Arithmetic Ability Questions

Q:

The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is

A) 81 m B) 80 m
C) 75 m D) 72 m
 
Answer & Explanation Answer: D) 72 m

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Q:

Sec 45% + Tan 30% =

A) (√6 + 1)/√3 B) (1 + √3)/2
C) (√3 + 2)/√3 D) 5/√3
 
Answer & Explanation Answer: A) (√6 + 1)/√3

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Q:

The value of 8(sin6θ + cos6θ) - 12(sin4θ + cos4θ) is equal to

A) 20 B) -20
C) 4 D) -4
 
Answer & Explanation Answer: D) -4

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Q:

What is the value of [(sin 59° cos 31° + cos 59° sin 31° )÷(cos 20° cos 25°  sin 20° sin 25° )]?

A) 1/√2 B) 2√2
C) √3 D) √2
 
Answer & Explanation Answer: D) √2

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Q:

Simplify 437bxaz / 23ab.

A) 17xzb B) 9xz
C) 19xz D) 19ab
 
Answer & Explanation Answer: C) 19xz

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Q:

Determine the value of y-1y2 when y4+1y4=34

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

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Q:

 In ΔABC measure of angle B is 90 deg. If cotA = 7/24, and AB = 1.4cm, then what is the length (in cm) of side AC?

A) 5 B) 4.8
C) 4 D) 5.6
 
Answer & Explanation Answer: A) 5

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Q:

What is the value of (cos 45 - 1/3) ?

A) 2-√3 B) 2/√3
C) (3-√2)/3√2 D) 1/2√3
 
Answer & Explanation Answer: C) (3-√2)/3√2

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