Quantitative Aptitude

Mensuration

2,507 Questions
All Direct Formula Application 1067 Shape Transformations 343 Mensuration Ratio Equations 277 Combined & Hollow Solids 247 Successive Percentage Changes 178 Inscribed & Circumscribed Figures 165 Cost Estimation Problems 100 Liquid Pour & Submergence 67 Unit Conversions 35 Path & Border Calculations 17 Time & Work Integration 7 Scale & Model Proportions 2

Mensuration Questions

Multiple choice

A hemispherical dome with a radius of 6 metres is to be painted, including the flat circular base, at a rate of Rs. 14 per square metre. What is the total cost of painting the dome?

  1. Rs. 3,376

  2. Rs. 4,376

  3. Rs. 4,752

  4. Rs. 5,700
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The surface area of a hemisphere (including the base) is 3 * pi * r^2. With r=6, area = 3 * 3.14159 * 36 = 339.29 square meters. Total cost = 339.29 * 14 = 4750.06. Using pi = 22/7, area = 3 * (22/7) * 36 = 2376/7. Cost = (2376/7) * 14 = 4752.

Multiple choice

A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of 75 square centimeters, and the height of the can is 15 cm. If 850 cubic centimeters of syrup is needed to fill the can to the top, which of the following is the total volume of the pieces of fruit in the can?

  1. 275 cubic centimeters

  2. 325 cubic centimeters

  3. 500 cubic centimeters

  4. 850 cubic centimeters
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The total volume of the can is base area * height = 75 * 15 = 1125 cubic centimeters. The volume of the fruit is the total volume minus the volume of the syrup: 1125 - 850 = 275.

Multiple choice

Sarah, an aspiring artist, decided to capture the essence of a summer sky in her latest masterpiece. She bought a paint bucket with a base, having a radius of 12 centimeters. Pouring her favorite shade of blue into the bucket, she noticed it filled to a volume of 4,032π cubic centimeters. What is the height, in centimeters, of the paint bucket?

  1. 8

  2. 12

  3. 18

  4. 28
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of cylinder = pi * r^2 * h. Given V = 4032 * pi and r = 12. So, 4032 * pi = pi * 144 * h. h = 4032 / 144 = 28.

Multiple choice

Which two figures will have same area? (A) Circle with diameter of 14 cm (B) Rectangle with length 12 cm and breadth 10 cm (C) Rectangle with length 14 cm and breadth 11 cm (D) Square with side 12 cm Choose the correct answer from the options given below:

  1. A and B only

  2. B and D only

  3. A and C only

  4. A and D only
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area of (A) Circle = pi * r^2 = 3.14 * 7^2 = 153.86. Area of (B) Rectangle = 12 * 10 = 120. Area of (C) Rectangle = 14 * 11 = 154. Area of (D) Square = 12 * 12 = 144. A and C are approximately equal (153.86 vs 154).