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:

What is the area (in sq cm) of a circle whose circumference is 22 cm?

A) 77 B) 38.5
C) 44 D) 88
 
Answer & Explanation Answer: B) 38.5

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Q:

The percentage change of a number when it is first decreased by 10% and then increased by 10% is

A) 0.1 % increase B) 1 % decrease
C) 0.1 % decrease D) No changes
 
Answer & Explanation Answer: B) 1 % decrease

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Q:

A man starts from point 'O', travels 20 km towards east to reach point 'A', turns right and travels 10 km to reach point 'B', turns right and travels 9 km to reach point 'C', turns right and travels 5 km to reach point 'D', turns left and travels 12 km to reach point 'E' and then turns right and travels 6 km to reach point 'F'.

 

What is the shortest distance between point 'E' and point 'C'?

A) 13 B) √2
C) √20 D) √145
 
Answer & Explanation Answer: A) 13

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Filed Under: Direction Sense Test
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Q:

What is the value of cot 11π/6?

A) -√3 B) -1
C) √3 D) -1/2
 
Answer & Explanation Answer: A) -√3

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Filed Under: Simplification
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Q:

If a mirror is placed on the line MN, which is the right image of the given figure?

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

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Filed Under: Image Analysis

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Q:

What is the value of cot210°?

A) 1/√3 B) -1/√3
C) √3 D)  -√3
 
Answer & Explanation Answer: C) √3

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Q:

What is the value of tan150°?

A) -√3 B) 1/√3
C) √3 D) -1/√3
 
Answer & Explanation Answer: D) -1/√3

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