Quantitative Aptitude - Arithmetic Ability Questions

Q:

If sinC + sinD =X, then the value of X is?

A) 2cos[(C+D)/2]sin[(C-D)/2] B) 2sin[(C+D)/2]cos[(C-D)/2]
C) 2cos[(C+D)/2]cos[(C-D)/2] D) 2sin[(C+D)/2]sin[(D-C)/2]
 
Answer & Explanation Answer: B) 2sin[(C+D)/2]cos[(C-D)/2]

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Q:

If the perimeter of a semicircle is 36 cm, then find its area (in cm2).

A) 154 B) 35
C) 77 D) 70
 
Answer & Explanation Answer: C) 77

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Q:

Which of the following quadratic equations has real roots?

A) 3x2 -­ 5x + 2 = 0 B) 3x2 -­ 4x + 2 = 0
C) 4x2 -­ 3x + 2 = 0 D) 5x2 -­ 2x + 2 = 0
 
Answer & Explanation Answer: A) 3x2 -­ 5x + 2 = 0

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Q:

If the angles of a triangle are in the ratio of 1 : 4 : 7, then find the ratio of the greatest angle to the smallest angle.

A) 7:2 B) 2:3
C) 7:1 D) 3:5
 
Answer & Explanation Answer: C) 7:1

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Q:

 In the triangle ABC, the internal bisector of angle A meets the side BC at D. If BD=7.5 cm and BC=9 cm. Then calculate the value of AB:AC.

 

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

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Q:

If x = 2 +√3, y = 2 – √3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?

A) 25 B) 22
C) 17 D) 43
 
Answer & Explanation Answer: A) 25

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Q:

If cot 60° + cosec 60° = x, then the value of x is

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

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Q:

If 8x/3 + [7(5 - 2x/3)]/2 = 1/2 , then what is the value of x?

A) -17 B) 51
C) -51 D) 17
 
Answer & Explanation Answer: C) -51

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