Allied & ICAR Exam Bank • ALLIED_2374 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A solid cone of height 20 cm and base radius 15 cm is cut parallel to its base at half its height to form a frustum. The ratio of the volume of the smaller cone to the volume of the frustum is:

Options:

  • (A) 1:7
  • (B) 1:8
  • (C) 1:6
  • (D) 1:4

Answer Key:

A

Step-by-Step Solution & Explanation

Volume ratio of smaller cone to original cone $= (1/2)^3 = 1/8$. Volume of frustum $= 1 - 1/8 = 7/8$. Ratio $= (1/8) / (7/8) = 1:7$.
← Previous (ALLIED_2373) Next (ALLIED_2375) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test