GATE AG 2018 • Q5 MCQ • 1 Mark

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Logic Deduction & Pattern Recognition

Question Statement:

Arrange the following three-dimensional objects in the descending order of their volumes: (i) A cuboid with dimensions 10 cm, 8 cm and 6 cm (ii) A cube of side 8 cm (iii) A cylinder with base radius 7 cm and height 7 cm (iv) A sphere of radius 7 cm

Options:

  • (A) (i), (ii), (iii), (iv)
  • (B) (ii), (i), (iv), (iii)
  • (C) (iii), (ii), (i), (iv)
  • (D) (iv), (iii), (ii), (i)

Official Answer Key:

D

Step-by-Step Solution & Explanation

Cuboid: V = 10 × 8 × 6 = 480 cm³. Cube: V = 8³ = 512 cm³. Cylinder: V = πr²h = (22/7)(7²)(7) = 1078 cm³. Sphere: V = (4/3)πr³ = (4/3)(22/7)(343) = 1437.3 cm³. Descending order: sphere > cylinder > cube > cuboid ⇒ (iv), (iii), (ii), (i).

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