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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.

  • A.(i) only
  • B.(ii) only
  • C.both (i) and (ii)
  • D.neither (i) nor (ii)

Answer: D

Neither (i) nor (ii) follows.

“All hill-stations have a lake” means every hill-station has at least one lake. It sets a minimum, not a maximum, so a hill-station with two lakes still satisfies it.

Statement (i) does not follow: having two lakes does not stop Ooty from being a hill-station, and nothing says whether it is one. Statement (ii) does not follow either: the premise never limits a hill-station to one lake. Both rest on reading “a lake” as “exactly one lake”.

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