Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which of the following is correct?

A) (4x + 5y)(5x - 4y) = 20x2 + 9xy - 20y2 B) (4x + 5y)(5x - 4y) = 20x2 + 41xy - 20y2
C) (4x + 5y)(5x - 4y) = 20x2 - 9xy + 20y2 D) (4x + 5y)(5x - 4y) = 20x2 - 41xy + 20y2
 
Answer & Explanation Answer: A) (4x + 5y)(5x - 4y) = 20x2 + 9xy - 20y2

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Filed Under: Simplification
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Q:

If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz  x2  y2  z2?

A) – 4 B) 2
C)  – 1 D) – 6
 
Answer & Explanation Answer: A) – 4

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Q:

If tanA = x, then x is

A) √(cosec2A + 1) B) √(sec2A + 1)
C) √(cosec2A - 1) D) √(sec2A - 1)
 
Answer & Explanation Answer: D) √(sec2A - 1)

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Q:

Find the perimeter (in cm) of a semicircle of radius 14 cm.

A) 144 B) 46
C) 72 D) 92
 
Answer & Explanation Answer: C) 72

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Filed Under: Volume and Surface Area
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Q:

One pipe can fill an empty cistern in 4 hours while another can drain the cistern when full in 10 hours. Both the pipes were turned on when the cistern was half-empty. How long will it take for the cistern to be full?

A) 3 hours 20 minutes B) 6 hours 40 minutes
C) 4 hours 20 minutes D) 5 hours 30 minutes
 
Answer & Explanation Answer: A) 3 hours 20 minutes

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Filed Under: Pipes and Cistern
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Q:

Ram is thrice as fast as Mohan and Nohan is twice as fast as Sohan. The distance covered by Sohan in 42 minutes will be covered by Mohan in

 

A) 18 min B) 21 min
C) 20 min D) 22 min
 
Answer & Explanation Answer: B) 21 min

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Filed Under: Time and Work
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Q:

A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in:

A) 120 days B) 130 days
C) 150 days D) 100 days
 
Answer & Explanation Answer: A) 120 days

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Q:

The largest chord of the circle has a length of 20.4 cm. The radius of the circle will be_____.

A) 10.2 cm B) greater than 10.2 cm
C) greater than and equal to 10.2 cm D) less than 10.2 cm
 
Answer & Explanation Answer: A) 10.2 cm

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Filed Under: Volume and Surface Area
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