Quantitative Aptitude - Arithmetic Ability Questions

Q:

A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is

A) 30° B) 45°
C) 60° D) 75°
 
Answer & Explanation Answer: A) 30°

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Filed Under: Volume and Surface Area
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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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Q:

The total surface area of a hemisphere is 41.58 sq cm, find its radius.

A) 4.2 cm B) 0.7 cm
C) 1.05 cm D) 2.1 cm
 
Answer & Explanation Answer: D) 2.1 cm

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Q:

If 5x - 1 < 3x + 2 and 5x + 5 > 6 - 2x; then x can take which of the following values?

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

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Filed Under: Simplification
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Q:

Which of the following words does NOT belong with the others?

A) Dharti B) Shukra
C) Brihaspati D) Shani
 
Answer & Explanation Answer: A) Dharti

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Filed Under: Odd Man Out
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Q:

Curved surface area of a cylinder is 660 sq cm. If circumference of its base is 44 cm, find the volume of the cylinder?

A) 4620 cubic cm B) 2310 cubic cm
C) 6930 cubic cm D) 1155 cubic cm
 
Answer & Explanation Answer: B) 2310 cubic cm

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams , CAT

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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:

Three sides of a triangle are 5 cm, 9 cm and x cm. The minimum integral value of x is

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: D) 5

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