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

Passage

Directions: Read the data given below carefully and answer the question. The data shows the volume and dimensions (length, breadth, and height) of four cuboidal tanks: A, B, C, and D. The data also depicts the time taken to fill or empty the tanks by inlet pipes X, Y, and the outlet pipe Z. 1. The breadth of tank D is 14 m. Tank Data: Tank Volume (m³) Dimensions: L × B × H (m) Time taken by pipe X to fill (hours) Ratio of time taken by pipe Y to fill and pipe Z to empty A 3,600 20 × 15 × ---- 10 2 : 3 B ----- 25 × 12 × 12 3 : 2 C 4,500 ---- × 6 × 15 18 1 : 4 D 16,800 14 × ---- × ---- ----- 3 : 5

Another tank E has its height 20% more than that of tank C and its length and breadth are each 15% more than those of tank A. What is the sum of the lateral surface area of tanks A and E together (approx.)?

  1. 2,189 m2

  2. 2,289 m2

  3. 2,560 m2

  4. 3,589 m2

  5. 4,990 m2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Lateral surface area of a cuboid is 2h(l+b). Calculate dimensions for A and E based on the provided data and percentage increases, then sum them.

Multiple choice

Passage

Directions: Read the data carefully and answer the following question. A hollow cylindrical tank X with an inner radius of 16 cm is partially filled with water. A solid cylindrical object Y, having a radius of 9 cm and a height equal to one-fourth the height of tank X, is gently submerged into the tank such that water filled upto brim without causing any water to overflow. If the volume of water initially in the tank is 20,746 cm³.

If the radius of cylinder Y is increased by 4 cm, then how much excess amount of water would have been displaced from cylinder X?

  1. 1,396 cm3

  2. 1,696 cm3

  3. 1,936 cm3

  4. 1,693 cm3

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

The volume of a cylinder is pi * r^2 * h. The change in volume when the radius of cylinder Y increases from 9 cm to 13 cm is pi * h_y * (13^2 - 9^2). Given the height of Y is 1/4 of the tank's height, and the tank's inner radius is 16 cm, the displacement is based on the volume of the submerged object Y. Calculating the difference in volume for the cylinder Y with radius 13 vs 9 results in 1,936 cm^3.