Quantitative Aptitude - Arithmetic Ability Questions

Q:

The average age of 40 students of a class is 16 years. If the average age of 24 students is 15.5 years and that of the 15 students is 16 2⁄3 years, then the age of 40th student is

A) 17 B) 16
C) 16.5 D) 18
 
Answer & Explanation Answer: D) 18

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Q:

Find the radius of the circle if the length of its arc is 33 cm whose corresponding central angle is 90° ?

A) 21 cm B) 14 cm
C) 7 cm D) 28 cm
 
Answer & Explanation Answer: A) 21 cm

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Q:

If a is positive and a2+1a2 = 7, then a3 + 1a3 = ?

A) 9 B) 27
C) 18 D) 0
 
Answer & Explanation Answer: C) 18

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Q:

If (tanA ­- tanB)/(1 + tanAtanB) = x, then the value of x is

A) tan(A -­ B) B) tan(A + B)
C) cot(A ­- B) D) cot(A + B)
 
Answer & Explanation Answer: A) tan(A -­ B)

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Filed Under: Simplification
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Q:

What is the area (in sq cm) of a regular hexagon of side 9 cm?

A) 50√3 B) 300√3
C) 243√3/2 D) 200√3
 
Answer & Explanation Answer: C) 243√3/2

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Q:

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?

A) 6 cm B) 24 cm
C) 12 cm D) 18 cm
 
Answer & Explanation Answer: C) 12 cm

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Filed Under: Area
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Q:

A solid right circular cone of radius 4 cm and height 7 cm is put inside a cylindrical vessel of radius 5 cm and height 8 cm. How much water in cubic cm will be required to fill the cylindrical vessel completely?

A) 1022.48 cubic cms B) 1533.72 cubic cms
C) 511.24 cubic cms D) 255.62 cubic cms
 
Answer & Explanation Answer: C) 511.24 cubic cms

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Filed Under: Area
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Q:

Find the odd one out.

A) D B) B
C) C D) A
 
Answer & Explanation Answer: C) C

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT

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