Quantitative Aptitude - Arithmetic Ability Questions

Q:

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

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Q:

The curved surface area and the diameter of a right circular cylinder are 352 cm² and 14 cm respectively. Find its height (in cm).

A) 9 B) 8
C) 10 D) 11
 
Answer & Explanation Answer: B) 8

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Filed Under: Volume and Surface Area
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Q:

The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and the 3rd number is 1/4 times the 2nd number. The 2nd number is

A) 7/6 B) 8/7
C) 9/8 D) 10/9
 
Answer & Explanation Answer: B) 8/7

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Filed Under: Problems on Numbers
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Q:

Two valves P and B can fill a sump in 37.5 minutes and 45 minutes respectively. Both valves are opened. The sump will be filled in just 30 minutes, if valve B is turned off after

A) 6 min B) 9 min
C) 5 min D) 10 min
 
Answer & Explanation Answer: B) 9 min

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Filed Under: Pipes and Cistern
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Q:

If cosA + cos2A = 1 then the value of sin2A + sin4A is

A) 1/2 B) 1/4
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

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Q:

If Sinθ = √3/2 and 0°<θ<90°, then the value of tan(θ-15°) is

A) 1 B) 3
C) 31 D) 2
 
Answer & Explanation Answer: A) 1

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Q:

If Tan θ = 7/24, then what is the value of Cosec θ?

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

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Q:

The slopes of two lines are 1 and √3. What is the angle between these two lines?

A) 15° B) 30°
C) 45° D) 60°
 
Answer & Explanation Answer: A) 15°

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