Quantitative Aptitude - Arithmetic Ability Questions

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:

30% discount is offered on an item. By applying a promo code the customer wins 20% cash back. What is the effective discount?

A) 44 percent B) 52.8 percent
C) 50 percent D) 26 percent
 
Answer & Explanation Answer: A) 44 percent

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Q:

Coefficient of x2 in 6x3 + 4x2 + 2x + 3 is

A) 4 B) 6
C) 3 D) 2
 
Answer & Explanation Answer: A) 4

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Q:

A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is

A) 5√5 cm B) 5√3 cm
C) 5√15 cm D) 5√10 cm
 
Answer & Explanation Answer: C) 5√15 cm

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Q:

If PQ and PR be the two tangents to a circle with centre O such that ∠QPR = 120° then ∠POQ is

A) 90° B) 45°
C) 30° D) 60°
 
Answer & Explanation Answer: C) 30°

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Q:

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

A) 15 B) 30
C) 45 D) 60
 
Answer & Explanation Answer: B) 30

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Q:

How many balls of radius 2 cm can be made by melting a bigger ball of diameter 16 cm? (Take π = 22/7)

A) 64 B) 128
C) 32 D) 96
 
Answer & Explanation Answer: A) 64

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Q:

The lengths of the two diagonals of a rhombus are 5 cm and 12 cm. Find its area (in cm2)

A) 30 B) 15
C) 60 D) 45
 
Answer & Explanation Answer: A) 30

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