Quantitative Aptitude - Arithmetic Ability Questions

Q:

2 ­- (cosA + sinA)2 is equal to

A) (cosecA -­ sinA)2 B) cosA ­- sinA
C) cosecA ­- sinA D) (cosA -­ sinA)2
 
Answer & Explanation Answer: D) (cosA -­ sinA)2

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Q:

ΔPQR is right angled at Q. If tanP = 24/7, then what is the value of cosR ?

A) 25/7 B) 24/25
C) 24/7 D) 7/24
 
Answer & Explanation Answer: B) 24/25

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Q:

What is the third proportional to 10 and 25?

A) 125 B) 150
C) 62.5 D) 225
 
Answer & Explanation Answer: C) 62.5

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Q:

The ratio between the weights of gold and silver in an alloy is 17:3. If the weight of silver in the alloy is 2.7 gm, find the weight of gold in the alloy?

A) 12.6 gm B) 15.3 gm
C) 18 gm D) 21.2 gm
 
Answer & Explanation Answer: B) 15.3 gm

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Q:

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?

A) 0 B) tan 2θ
C) cot 2θ D) 1
 
Answer & Explanation Answer: D) 1

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Q:

If tanA + tanB = X, then the value of X is

A) (tanA - tanB)/(1 + tanAtanB) B) (tanA + tanB)/(1 - tanAtanB)
C) (tanA + tanB)/(1 + tanAtanB) D) (tanA - tanB)/(1 - tanAtanB)
 
Answer & Explanation Answer: B) (tanA + tanB)/(1 - tanAtanB)

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Q:

If θ is acute angle and sin(θ+18°)= 1/2, then the value of θ in circular measure is

A) Π/12 radians B) Π/15 radians
C) 2Π/5 radians D) 3Π/13 radians
 
Answer & Explanation Answer: B) Π/15 radians

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Q:

ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/√3 Cosec C?

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

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