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Q:

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?

A) 50(3 + √3) B) 100(√3 + 1)
C) 150 D) 100√3
 
Answer & Explanation Answer: A) 50(3 + √3)

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisects the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 :V2 : V3?

A) 1 : 8 : 27 B) 1 : 8 : 19
C) 2 : 9 : 27 D) 1 : 7 : 19
 
Answer & Explanation Answer: D) 1 : 7 : 19

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

Q:

The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?

A) 34650 B) 61600
C) 36960 D) 62370
 
Answer & Explanation Answer: D) 62370

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

Q:

A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20√3 cm. What is the volume (in cm3) of the prism?

A) 1125 B) 6750
C) 4500 D) 3375
 
Answer & Explanation Answer: D) 3375

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

Q:

An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?

A) 66.66% B) 33.33%
C) 83.33% D) 56.41%
 
Answer & Explanation Answer: A) 66.66%

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

Q:

A bus travels 720 km in 20 hours. Calculate its average speed in meters/second.

A) 12 B) 15
C) 18 D) 10
 
Answer & Explanation Answer: D) 10

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Filed Under: Time and Distance
Exam Prep: Bank Exams

Q:

When a number is increased by 216, it becomes 140% of itself. What is the number?

A) 540 B) 756
C) 450 D) 675
 
Answer & Explanation Answer: A) 540

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Filed Under: Percentage
Exam Prep: Bank Exams

Q:

A regular pyramid has a square base. The height of the pyramid is 22 cm and side of its base is 14 cm. Volume of pyramid is equal to the volume of a sphere. What is the radius (in cm) of the sphere?

A) 493 B) 7
C) 14 D) 983
 
Answer & Explanation Answer: B) 7

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