Quantitative Aptitude - Arithmetic Ability Questions

Q:

O is an centre of a circle. P is an external point of it at distance of 13cm from O. The radius of the circle is 5cm. Then the length of a tangent to the circle from P upto the point of contact is

A) √194cm B) 10cm
C) 12cm D) 8cm
 
Answer & Explanation Answer: C) 12cm

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Q:

For what value of C, the system of equation 6x + 2y = 2 & 3x + y = C will be coincident?

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

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Q:

If X + Y = 19 and X - Y = 7, then XY = ?

A) 13 B) 48
C) 78 D) 72
 
Answer & Explanation Answer: C) 78

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Q:

 Find the volume (in cm3) of a hemisphere of diameter 42 cm.

A) 17832 B) 153512
C) 13858 D) 19404
 
Answer & Explanation Answer: D) 19404

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Q:

Find the in-radius (in cm) of an equilateral triangle whose sides are 6 cm each.

A) √3 B) 2√3
C) 3√3 D) 4√3
 
Answer & Explanation Answer: A) √3

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Q:

In a rectangle _____.

A) Consecutive angles are congruent as well as supplementary B) Diagonals are perpendicular to each other
C) Diagonals bisect opposite angles D) Diagonals are not equal
 
Answer & Explanation Answer: A) Consecutive angles are congruent as well as supplementary

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Q:

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?

A) (0 , 13) B) (0, 5)
C) (0, -5) D) (0 , -13)
 
Answer & Explanation Answer: D) (0 , -13)

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Q:

Factors of  x2 + 7x + 10 are

A) (x-5)(x-2) B) (x+5)(x+2)
C) (x-5)(x+2) D) (x-4)(x+2)
 
Answer & Explanation Answer: B) (x+5)(x+2)

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