Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two tangents PA and PB are drawn to a circle of centre O in such a way that angle AOB = 120 deg. Calculate the value of angle APB.

A) 40 deg B) 50 deg
C) 60 deg D) 80 deg
 
Answer & Explanation Answer: C) 60 deg

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Q:

How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?

A) 112 B) 108
C) 116 D) 104
 
Answer & Explanation Answer: B) 108

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Q:

The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area (in sq.cm) of the triangle?

A) 50√5 B) 100
C) 75√7 D) 175
 
Answer & Explanation Answer: C) 75√7

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Q:

Calculate the length of the tangent (in cm) which is drawn from a point at a distance of 13 cm from the centre and the largest chord of that circle is 10 cm.

A) 10 B) 12
C) 15 D) 16
 
Answer & Explanation Answer: B) 12

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Q:

If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm then its volume is

A) 1760 cm3 B) 8800 cm3
C) 2002 cm3 D) 4804 cm3
 
Answer & Explanation Answer: C) 2002 cm3

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Q:

The volume of a hemisphere is 5749.33 cm³. Find its diameter (in cm).

A) 14 B) 56
C) 42 D) 28
 
Answer & Explanation Answer: D) 28

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Q:

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 3:2 and HF is 8 cm, then the length of DF is

A) 12 cm B) 20 cm
C) 14 cm D) 16 cm
 
Answer & Explanation Answer: B) 20 cm

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Q:

From the top of a platform 7 m high, the angle of elevation of a tower was 30 deg. If the platform was positioned 50√3 m away from the tower, how tall was the tower?

A) 57 m B) 50 m
C) (25√3 + 7) m D) 25√3 m
 
Answer & Explanation Answer: D) 25√3 m

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Filed Under: Height and Distance
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