GATE CE 2021 Set 2 — Question 8

MCQ+2 / -0.67EasyDeduction & InductionAnalytical AptitudeGeneral Aptitude

General Aptitude → Analytical Aptitude → Deduction & Induction

Last updated 5 September 2026

Question

1. Some football players play cricket. 2. All cricket players play hockey. Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is:

Correct answer (B) Some football players play hockey. Solution This is a syllogism problem. Statement 1: Some Football players (F) are Cricket players (C). Statement 2: All Cricket players (C) are Hockey players (H). From Statement 1, there exists at least one player who is both F and C. Since all C are H (Statement 2), that player must also be H. Thus, there exists at least one player who is both F and H. This logically leads to the conclusion: "Some football players play hockey." Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

Review answer and solution without JavaScript

Interactive answer checking needs JavaScript. The published solution is available below.

Correct answer (B) Some football players play hockey. Solution This is a syllogism problem. Statement 1: Some Football players (F) are Cricket players (C). Statement 2: All Cricket players (C) are Hockey players (H). From Statement 1, there exists at least one player who is both F and C. Since all C are H (Statement 2), that player must also be H. Thus, there exists at least one player who is both F and H. This logically leads to the conclusion: "Some football players play hockey."

Continue learning with Success Tracker

Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans

PYQs with solutions: Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts: Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support: Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.