Aptitude and Reasoning Questions

Q:

Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?

A) 1556.33 B) 898.5
C) 1467.33 D) 1306.67
 
Answer & Explanation Answer: D) 1306.67

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Filed Under: Area
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Q:

If Cos θ = 5/13, then Cosec θ = ?

A) 5/12 B) 12/5
C) 13/5 D) 13/12
 
Answer & Explanation Answer: D) 13/12

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Filed Under: Simplification
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Q:

On dividing 111a2b2c2 by 37a2, we get ______.

A) 2c2 B) 2b2
C) 3 D) 3b2c2
 
Answer & Explanation Answer: D) 3b2c2

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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
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Q:

Visitors to a show were charged Rs. 15 each on the first day, Rs. 7.50 on the second day, Rs. 2.50 on the third day and total attendance on three days were in the ratio 2:5:13 respectively. The average charge per person for the entire three days is

A) Rs. 5 B) Rs. 5.50
C) Rs. 6 D) Rs. 7
 
Answer & Explanation Answer: A) Rs. 5

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Filed Under: Ratios and Proportions
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Q:

A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is

A) 4% B) 6%
C) 10% D) 12%
 
Answer & Explanation Answer: C) 10%

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Filed Under: Percentage
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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
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