Quantitative Aptitude - Arithmetic Ability Questions

Q:

In ΔABC measure of angle B is 90 deg. If tanA = 15/8, and AB = 0.8 cm, then what is the length (in cm) of side AC?

 

A) 1.7 B) 1.5
C) 2 D) 2.5
 
Answer & Explanation Answer: A) 1.7

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Q:

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

A) 3:1 B) 2:1
C) 3:2 D) 4:3
 
Answer & Explanation Answer: D) 4:3

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Q:

 In ΔDEF measure of angle E is 90 deg. If tanD = 4/3, and DE = 6cm, then what is the length (in cm) of side EF?

A) 10 B) 5
C) 8 D) 4
 
Answer & Explanation Answer: C) 8

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Q:

What is the curved surface area (in cm²) of a hemisphere of diameter 42 cm?

A) 2332 B) 1778
C) 1556 D) 2772
 
Answer & Explanation Answer: D) 2772

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Q:

Four numbers A, B, C and D are such that their overall average is 16. The average of A and B is 9.5. The average of C and D is

A) 22.5 B) 23
C) 21.5 D) 25.5
 
Answer & Explanation Answer: A) 22.5

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Q:

In the circle above, chord AB is extended to meet the tangent DE at D. If AB = 5 cm and DE = 6 cm, find the length of BD.

 

A) 4 cm B) 5 cm
C) 6 cm D) √30 cm
 
Answer & Explanation Answer: A) 4 cm

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Q:

An angle in a semicircle is

A) 45° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: C) 90°

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Q:

The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?

A) 31276 B) 36194
C) 25182 D) 33264
 
Answer & Explanation Answer: D) 33264

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