GATE CS 2016 Set 2 — 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 Statement (i): The premise "All hill-stations have a lake" implies that having a lake is a necessary condition for being a hill-station. Ooty has two lakes, so it satisfies the condition of having a lake. We cannot infer that it is not a hill-station. Statement (ii): The premise states hill-stations have "a lake". In logic, "a lake" means "at least one lake". It does not preclude having more than one. Therefore, we cannot infer that no hill-station can have more than one lake. Thus, neither statement is inferred. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (D) neither (i) nor (ii) Solution Statement (i): The premise "All hill-stations have a lake" implies that having a lake is a necessary condition for being a hill-station. Ooty has two lakes, so it satisfies the condition of having a lake. We cannot infer that it is not a hill-station. Statement (ii): The premise states hill-stations have "a lake". In logic, "a lake" means "at least one lake". It does not preclude having more than one. Therefore, we cannot infer that no hill-station can have more than one lake. Thus, neither statement is inferred.

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