Quantitative Aptitude - Arithmetic Ability Questions

Q:

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

A) 4/√3 B) (2√2­-√3)/2
C) (1­-√3)/√3 D) √3+2
 
Answer & Explanation Answer: B) (2√2­-√3)/2

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Q:

If [(a2 + b2  + ab)] + [(a2 + b2  ab)] = 1, then what is the value of (1  a2 )(1  b2 )?

A) 1/4 B) 4/7
C) 5/4 D) 3/4
 
Answer & Explanation Answer: D) 3/4

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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:

Pipes A and B, when working together, can fill an empty tank in 8 hours. If B is stopped after 2 hours, it will take a total of 11 hrs to fill the tank. How long would it take A to fill the empty tank alone?

 

A) 15 hrs B) 12 hrs
C) 13 hrs D) 16 hrs
 
Answer & Explanation Answer: B) 12 hrs

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Q:

A tap can fill a tank in 50 minutes. If the tank has a leakage which alone is capable of emptying the tank in 2.5 hours, the tank will now be filled in

A) 1 hour B) 1 hour 15 minutes
C) 1 hour 25 minutes D) 1 hour 30 minutes
 
Answer & Explanation Answer: B) 1 hour 15 minutes

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Q:

The sum of 15 observations of a data is (434 + x). If the mean of the data is x, then the value of x is

A) 31 B) 33
C) 27 D) 25
 
Answer & Explanation Answer: A) 31

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Q:

If a sum of money doubles itself in 8 yrs, then the interest rate in percentage is ?

A) 8 1⁄2% B) 10%
C) 10 1⁄2 % D) 12 1⁄2 %
 
Answer & Explanation Answer: D) 12 1⁄2 %

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Q:

If a + b + c + d = 4, then the value of 1(1-a)(1-b)(1-c) + 1(1-b)(1-c)(1-d) + 1(1-c)(1-d)(1-a) + 1(1-d)(1-a)(1-b)

A) 0 B) 1
C) 4 D) 1+ abcd
 
Answer & Explanation Answer: A) 0

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