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Q:

The volume of a right circular cone, whose radius of the base is half of its altitude, and the volume of a hemisphere are equal. The ratio of the radius of the cone to the radius of the hemisphere is

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

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

Q:

The volume of a right circular cone, whose radius of the base is same as its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is

 

A) 33 : 23 B) 2 : 1
C) 1 : 1 D) 43 : 1
 
Answer & Explanation Answer: D) 43 : 1

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

Q:

Divide 3740 in three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal.

A) 700, 1000, 2040 B) 340, 1360, 2040
C) 680, 1020, 200 D) 500, 1200, 2040
 
Answer & Explanation Answer: C) 680, 1020, 200

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Filed Under: Percentage
Exam Prep: Bank Exams

Q:

The volume of a right circular cone, with a base radius the same as its altitude, and the volume of a hemisphere are equal. The ratio of the radii of the cone to the hemisphere is

A) 2 : 1 B) √2 : 1
C) 23 : 1 D) 33 : 23
 
Answer & Explanation Answer: C) 23 : 1

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

Q:

The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?

A) 18√3 sq cm B) 9√3 sq cm
C) 18√2 sq cm D) 9√2 sq cm
 
Answer & Explanation Answer: A) 18√3 sq cm

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Filed Under: Area
Exam Prep: Bank Exams

Q:

The areas of a circle and square are equal. What is the square of the ratio of length of diameter to the length of diagonal?

A) 11/7 B) 7/9
C) 7/11 D) 9/7
 
Answer & Explanation Answer: C) 7/11

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Filed Under: Area
Exam Prep: Bank Exams

Q:

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

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

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

Q:

The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2:1. The ratio of their volumes is:

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

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