Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 2cosAsinB = x, then the value of x is?

A) sin(A+B) + sin(A­-B) B) cos(A+B) + cos(A­-B)
C) sin(A+B) ­- sin(A-­B) D) cos(A­-B) -­ cos(A+B)
 
Answer & Explanation Answer: C) sin(A+B) ­- sin(A-­B)

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Q:

If √[(1 - cosA)/2] = x, then the value of x is

A) cos(A/2) B) tan(A/2)
C) sin(A/2) D) cot(A/2)
 
Answer & Explanation Answer: C) sin(A/2)

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Q:

If  2x+14x = 1, then the value of  x2+164x2 is

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

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Q:

Which among the following is a mismatched pair of religion practiced and its holy book?

A) Islam : Quran B) Sikhism : Guru Granth Saheb
C) Jainism : Upanishad D) Christianity : Bible
 
Answer & Explanation Answer: C) Jainism : Upanishad

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Q:

For what value of X, 211X will be a perfect square?

A) 4 B) 5
C) 6 D) 9
 
Answer & Explanation Answer: C) 6

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Q:

What is the area (in sq cm) of an equilateral triangle of side 14 cm?

A) 49√3 B) 98√3
C) (49/2)√3 D) (49/4)√3
 
Answer & Explanation Answer: A) 49√3

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Q:

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

A) √51 : √68 B) √33 : √17
C) √66 : √51 D) √28 : √17
 
Answer & Explanation Answer: B) √33 : √17

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Q:

The rate of simple interest for which a sum of money becomes 5 times in 8 years is

A) 30% B) 40%
C) 50% D) 55%
 
Answer & Explanation Answer: C) 50%

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