Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1  )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

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

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Q:

A bag contains coins of denominations Rs.1, Rs.5 and Rs.10. Assuming there are equal number of Rs.1, Rs.5 and Rs.10, what will be the total number of coins in the bag be if the total money is Rs. 368?

A) 69 B) 96
C) 56 D) 65
 
Answer & Explanation Answer: A) 69

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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:

The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is

A) 81 m B) 80 m
C) 75 m D) 72 m
 
Answer & Explanation Answer: D) 72 m

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Q:

Two equal circles intersect each other at point A and B, whose centers are O and O’. OO’ = 24 mm and AB = 10 mm, then find the area (in sq. mm) of the circle.

 

A) 530.66 B) 520.66
C) 510.33 D) 500.33
 
Answer & Explanation Answer: A) 530.66

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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:

If a = 3+23-2, b = 3-23+2 then a2+b2-ab ?

A) 97 B) (2√3) + 2
C) (4√6) + 1 D) 98
 
Answer & Explanation Answer: A) 97

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Q:

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

A) 16 B) 4
C) -6 D) -4
 
Answer & Explanation Answer: A) 16

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