Quantitative Aptitude - Arithmetic Ability Questions

Q:

A solid hemisphere has radius 14 cm. It is melted to form a cylinder such that the ratio of its curved surface area and total surface area is 2 : 3. What is the radius (in cm) of its base?

A) 1033 B) 1433
C) 733 D) 2133
 
Answer & Explanation Answer: B) 1433

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Filed Under: Area
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Q:

Which of the following numbers is a perfect square?

A) 441 B) 192
C) 333 D) 327
 
Answer & Explanation Answer: A) 441

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Filed Under: Problems on Numbers
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Q:

A person driving at the speed of 40 kmph reaches office 1 minute early while he reaches 3 minutes late if driving at 36 kmph. What is the distance in km that she is covering?

A) 24 B) 28
C) 32 D) 30
 
Answer & Explanation Answer: A) 24

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Filed Under: Time and Distance
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Q:

If a cone of radius 3.5 cm and height 9.6 cm is melted and constructed into a cylinder of the same radius, what will be the height of this cylinder? (Take π = 22/7)

A) 3.2 cm B) 6.4 cm
C) 1.6 cm D) 4.8 cm
 
Answer & Explanation Answer: A) 3.2 cm

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Filed Under: Volume and Surface Area
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Q:

A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

A) 3:1 B) 1:3
C) 7:3 D) 3:7
 
Answer & Explanation Answer: C) 7:3

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Filed Under: Volume and Surface Area
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Q:

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

A) OP B) UI
C) TA D) SE
 
Answer & Explanation Answer: B) UI

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Filed Under: Odd Man Out
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Q:

Find the 4th proportional to 9, 17 and 27.

A) 57 B) 48
C) 51 D) 53
 
Answer & Explanation Answer: C) 51

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Filed Under: Ratios and Proportions
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Q:

If Cot θ = 21/20, then what is the value of Cosec θ?

A) 21/29 B) 29/21
C) 20/29 D) 29/20
 
Answer & Explanation Answer: D) 29/20

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Filed Under: Simplification
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