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GATE 2016 EE – Question 8

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

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.

  1. (i) only
  2. (ii) only
  3. both (i) and (ii)
  4. neither (i) nor (ii)

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Correct answer: (D) neither (i) nor (ii)

Explanation

"All hill-stations have a lake" means at least one lake, not exactly one. Ooty having two lakes does not contradict it being a hill-station, so (i) does not follow. It also does not say that a hill-station cannot have two lakes, so (ii) does not follow.