The GATE Grind

GATE 2021 CE (CE2) – Question 8

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 2 marks · Multiple choice

Some football players play cricket. All cricket players play hockey. Which conclusion necessarily follows?

  1. No football player plays hockey.
  2. Some football players play hockey.
  3. All football players play hockey.
  4. All hockey players play football.

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Show answer and explanation

Correct answer: (B) Some football players play hockey.

Explanation

The football players who also play cricket belong to the hockey-playing set because every cricket player plays hockey. This proves that **some football players play hockey (B)**. Nothing is stated about the remaining football players or all hockey players.