Quantitative Aptitude - Arithmetic Ability Questions

Q:

A regular pyramid has a square base. The height of the pyramid is 22 cm and side of its base is 14 cm. Volume of pyramid is equal to the volume of a sphere. What is the radius (in cm) of the sphere?

A) 493 B) 7
C) 14 D) 983
 
Answer & Explanation Answer: B) 7

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Filed Under: Volume and Surface Area
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Q:

If tan a = √3 + 2, then the value of tan a - cot a is

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

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Q:

What is the simplified value of (cosec A + sin A)(cosec A – sin A)?

A) cos2A + cot2A B) 2 cos2A
C) 2 cot2A D) 2 cos A cot A
 
Answer & Explanation Answer: A) cos2A + cot2A

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Q:

A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is

A) 8cm B) 6cm
C) 4cm D) 12cm
 
Answer & Explanation Answer: B) 6cm

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Q:

A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is

A) 19 cm B) 21 cm
C) 23 cm D) 25 cm
 
Answer & Explanation Answer: A) 19 cm

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Q:

The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : √5 = 2.23 and π = 22/7 ]

A) 1.42 litres B) 1.53 litres
C) 1.71 litres D) 1.82 litres
 
Answer & Explanation Answer: B) 1.53 litres

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Q:

Find out the odd word/letters/number/number pair from the given alternatives.

A) 2378 B) 9122
C) 1517 D) 2345
 
Answer & Explanation Answer: A) 2378

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Filed Under: Odd Man Out
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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) Meghalaya B) Shillong
C) Dispur D) Gangtok
 
Answer & Explanation Answer: A) Meghalaya

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