Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of cos (90 – B) sin (C – A) + sin (90 + A) cos (B + C) – sin (90 – C) cos (A + B)?

A) 1 B) sin ( A + B – C)
C) cos ( B + C – A) D) 0
 
Answer & Explanation Answer: D) 0

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Q:

If sin ­-330° = x, then the value of x is

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

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Q:

A and B together can do a piece of work in 36 days, B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in

A) 8 days B) 16 days
C) 30 days D) 32 days
 
Answer & Explanation Answer: B) 16 days

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Filed Under: Time and Work
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Q:

A mixture of 50 kg of cement and gravel contains 10% of gravel. How many kg of gravel must be added to make the gravel content 28% in the new mixture?

 

A) 14.5 B) 10.5
C) 12.5 D) 17.5
 
Answer & Explanation Answer: C) 12.5

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams , CAT

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Q:

Find the simple interest on Rs. 50 for 6 months at the rate of 10 paise per rupee per month.

A) Rs.35 B) Rs.40
C) Rs.25 D) Rs.30
 
Answer & Explanation Answer: D) Rs.30

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Q:

A man covered a certain distance by a train at the speed of 40 km/hr and covers the same distance back by walking at the speed of 8 km/hr. Ifthe whole journey took 12 hours, then what is the one side distance (in km)?

A) 80 B) 60
C) 90 D) 100
 
Answer & Explanation Answer: A) 80

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Filed Under: Problems on Trains
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Q:

The mean of the 5 smallest numbers from a group is 15 while the mean of all the 13 members of the group taken together is 17. What is the mean of the 8 largest numbers?

A) 18.50 B) 17.75
C) 18.75 D) 18.25
 
Answer & Explanation Answer: D) 18.25

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Filed Under: Average
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Q:

Which of the following is correct?

A) (3x -­ 2y)2 = 9x2 -­ 12xy + 4y2 B) (3x -­ 2y)2 = 9x2 -­ 6xy + 4y2
C) (3x + 2y)2 = 9x2 -­ 12xy + 4y2 D) (3x + 2y)2 = 9x2 -­ 6xy + 4y2
 
Answer & Explanation Answer: A) (3x -­ 2y)2 = 9x2 -­ 12xy + 4y2

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