Reasoning : Logical Reasoning & Analytical Ability

Q 219 / 325

UPSC CSE Prelims 2015

If A runs less fast than B, and B runs as fast but not faster than C; then, as compared to A, C runs

EXPLANATION

Correct Option (2)

Let SA, SB, and SC represent the speeds of A, B, and C, respectively.

  • The statement "A runs less fast than B" implies that B's speed is greater than A's speed: SB > SA.
  • The statement "B runs as fast but not faster than C" implies that B's speed is equal to C's speed: SB = SC.

By substituting SC for SB in the first inequality, we derive SC > SA. This indicates that C runs faster than A.

Incorrect Options:

  • Option 1 (slower than A): This is incorrect because the derived relationship SC > SA clearly indicates that C's speed is greater than A's speed, not less.
  • Option 3 (with same speed as A): This is incorrect because the derived relationship SC > SA shows that C's speed is strictly greater than A's speed, not equal.
  • Option 4 (Given data is not sufficient to determine): This is incorrect as the provided conditions establish clear inequalities and equalities that permit a definitive conclusion regarding the comparative speeds of A and C.