Aptitude and Reasoning Questions

Q:

The length of diagonal of a square is 9√2 cm. The square is reshaped to form a triangle. What is the area (in sq.cm) of largest in circle that can be formed in that triangle?

A) 6π B) 9π
C) 12π D) 15π
 
Answer & Explanation Answer: C) 12π

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm B) 1.5 cm
C) 1 cm D) 2.5 cm
 
Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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Q:

The average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th innings so that his average of runs in 100 innings may be 100?

A) 100 B) 99
C) 199 D) 101
 
Answer & Explanation Answer: C) 199

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

The area of a semicircle is 308 sq.cm. Calculate its perimeter (in cm)

A) 144 B) 49
C) 98 D) 72
 
Answer & Explanation Answer: D) 72

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Q:

A watch shows 6 p.m. where the hour hand points east. In which direction is the minute hand facing when the time is 9.15 p.m?

A) West B) South
C) East D) North
 
Answer & Explanation Answer: D) North

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Filed Under: Clocks
Exam Prep: AIEEE , Bank Exams

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Q:

If the population of a town increases by 25% in the first year and increases by 36% in the second year, then what is the average rate (in percentage)of increase in the population?

 

A) 26 B) 30.5
C) 31.66 D) 35
 
Answer & Explanation Answer: D) 35

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

The total surface area of a hemisphere is 4158 cm2. Find its diameter (in cm).

A) 21 B) 84
C) 42 D) 63
 
Answer & Explanation Answer: B) 84

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

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Q:

When a discount of 25% is given on a box of popcorn, the profit is 25%. If the discount is 10%, then the profit is

A) 35 percent B) 50 percent
C) 20 percent D) 65 percent
 
Answer & Explanation Answer: B) 50 percent

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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