Quantitative Aptitude - Arithmetic Ability Questions

Q:

The denominator of a rational number exceeds its numerator by 10. If the numerator is increased by 4 and the denominator is reduced by3, the number obtained is 5/6. The original rational number is

A) 11/12 B) 7/17
C) 9/19 D) 13/23
 
Answer & Explanation Answer: A) 11/12

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Q:

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

A) 3.5 B) 3.75
C) 4.25 D) 4.45
 
Answer & Explanation Answer: B) 3.75

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Q:

Which of the following is correct?

A) (3x + 4y)(4x -­ 3y) = 12x2 + 7xy ­- 12y2 B) (3x + 4y)(4x -­ 3y) = 12x2  + 251xy -­ 12y2
C) (3x + 4y)(4x -­ 3y) = 12x2 -­ 7xy + 12y2 D) (3x + 4y)(4x -­ 3y) = 12x2 - ­ 251xy + 12y2
 
Answer & Explanation Answer: A) (3x + 4y)(4x -­ 3y) = 12x2 + 7xy ­- 12y2

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Q:

What will come in the place of the question mark (?) in the following number series?305, 338, 404, 503, 635 , (?)

A) 820 B) 880
C) 800 D) 890
 
Answer & Explanation Answer: C) 800

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Q:

If Cosecθ + Cotθ = 2, then Cotθ = ?

A) 0 B) 0.5
C) 1 D) 0.75
 
Answer & Explanation Answer: D) 0.75

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Q:

If a regular polygon has 10 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees?

A) 120 B) 132
C) 140 D) 108
 
Answer & Explanation Answer: D) 108

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Q:

A wheel has diameter 84 cm. The number of complete revolution it will take to cover 792 m is

A) 330 B) 300
C) 320 D) 350
 
Answer & Explanation Answer: B) 300

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Q:

Find the smallest of the following decimals.

A) 0.2 x 0.2 x 0.2 B) 0.02/3
C) 0.01/2 D) 0.1 x 0.02 x 2
 
Answer & Explanation Answer: D) 0.1 x 0.02 x 2

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