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

Directions: The following problem consists of a question followed by three statements. You have to study the question and the statements and then decide which of the statements is/are necessary to answer the question. What is the area of the hall? I. Material cost of flooring per square metre is 250. II. Labour cost of flooring the hall is Rs. 3,500. III. Total cost of flooring the hall is Rs. 14,500.

  1. I and II only

  2. II and III only

  3. All I, II and III

  4. Any two of the three

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

The sum of circumference of a circle and perimeter of a rectangle is 132 cm. The area of the rectangle is 112 sq. cm and its breadth is 8 cm. What is the area of the circle?

  1. 616 sq. cm

  2. 540 sq. cm

  3. 396 sq. cm

  4. 390 sq. cm
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Rectangle area = L * 8 = 112, so L = 14. Perimeter = 2 * (14 + 8) = 44. Circumference = 132 - 44 = 88. 2 * pi * r = 88, so r = 88 / (2 * 22/7) = 14. Area of circle = pi * r^2 = (22/7) * 14 * 14 = 616.

Multiple choice

Mariya is an artist and is very precise about her inventory to be used in assignments. She undertakes the work of colouring the bricks, which are to be used for building a wall. She decides to use a bucket of paint which has sufficient paint to colour 8.9 square metre of area. How many bricks of dimensions 55 cm, 20 cm and 15 cm will she paint regardless the total bricks available, if she decides to use only the fixed amount of paint available with her?

  1. 17

  2. 18

  3. 19

  4. 20

  5. Na
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Surface area of one brick = 2 * (55*20 + 20*15 + 55*15) = 2 * (1100 + 300 + 825) = 2 * 2225 = 4450 cm^2 = 0.445 m^2. Number of bricks = 8.9 / 0.445 = 20.

Multiple choice

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 centimetres, will be required to fill the cylindrical vessel completely?

  1. 1022.48

  2. 1533.72

  3. 511.24

  4. 255.62
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume of cylinder = pi * r^2 * h = pi * 25 * 8 = 200 * pi. Volume of cone = 1/3 * pi * r^2 * h = 1/3 * pi * 16 * 7 = 112/3 * pi. Water needed = 200*pi - 37.33*pi = 162.67 * pi = 511.24.