GATE ME 2015 Set 3 — Question 7
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasyDeduction & InductionAnalytical AptitudeGeneral Aptitude
General Aptitude → Analytical Aptitude → Deduction & Induction
Last updated
Question
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.Statements:
I. No manager is a leader.
II. All leaders are executives.Conclusions:
I. No manager is an executive.
II. No executive is a manager.
I. No manager is a leader.
II. All leaders are executives.Conclusions:
I. No manager is an executive.
II. No executive is a manager.
Correct answer
(C) Neither conclusion I nor II follows.
Solution
Let be the set of managers, be the set of leaders, and be the set of executives.
From Statement I: (No manager is a leader).
From Statement II: (All leaders are executives).Now evaluate the conclusions:
Conclusion I: "No manager is an executive" (). This is not necessarily true. While no manager is a leader, a manager could still be an executive who is not a leader. The given statements do not rule this out.
Conclusion II: "No executive is a manager" (). This is logically equivalent to Conclusion I and is also not necessarily true for the same reason.Since neither conclusion must be true based on the given statements, the correct option is (C).
From Statement I: (No manager is a leader).
From Statement II: (All leaders are executives).Now evaluate the conclusions:
Conclusion I: "No manager is an executive" (). This is not necessarily true. While no manager is a leader, a manager could still be an executive who is not a leader. The given statements do not rule this out.
Conclusion II: "No executive is a manager" (). This is logically equivalent to Conclusion I and is also not necessarily true for the same reason.Since neither conclusion must be true based on the given statements, the correct option is (C).
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME 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.
More questions on Analytical Aptitude
2026 Set 1 Q1‘The team ____ more than 300 runs in 20 overs _________ rains. However, some players needed to…2026 Set 1 Q2If a positive real satisfies the following equation then…2026 Set 1 Q3The next figure (indicated by ‘?’) in the sequence is [figure]2026 Set 1 Q4‘All the mangoes in the basket are good.’ If the above statement is false, then which one of…2026 Set 1 Q5Consider the following statements about four numbers: (S1) The average of the four numbers is 25…