GATE EE 2016 Set 1 — Question 8

MCQ+2 / -0.67EasyDeduction & InductionAnalytical AptitudeGeneral Aptitude

General Aptitude → Analytical Aptitude → Deduction & Induction

Last updated 5 September 2026

Question

All hill-stations have a lake. Ooty has two lakes. Which of the statement(s) below is/are logically valid and can be inferred from the above sentences? (i) Ooty is not a hill-station. (ii) No hill-station can have more than one lake.

Correct answer (D) neither (i) nor (ii) Solution The statement 'All hill-stations have a lake' means that being a hill-station is a sufficient condition for having at least one lake. (i) Ooty having two lakes does not prevent it from being a hill-station, so we cannot infer it is not one. (ii) The premise does not state that a hill-station can have only one lake; it just says they have 'a lake' (at least one). Thus, neither statement is a valid inference. 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 (D) neither (i) nor (ii) Solution The statement 'All hill-stations have a lake' means that being a hill-station is a sufficient condition for having at least one lake. (i) Ooty having two lakes does not prevent it from being a hill-station, so we cannot infer it is not one. (ii) The premise does not state that a hill-station can have only one lake; it just says they have 'a lake' (at least one). Thus, neither statement is a valid inference.

Continue learning with Success Tracker

Use Success Tracker to ask about the reasoning, then try another GATE EE 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.