GATE CS 2016 Set 2 QGA-08 — General Aptitude

Let us analyze the given premises logically:

1. Premise 1: "All hill-stations have a lake."
   In standard English and logic, "having a lake" means possessing at least one lake. It does not set an upper limit on the number of lakes a hill-station can have.
2. Premise 2: "Ooty has two lakes."

Now, let us evaluate the given statements:

• Statement (i): "Ooty is not a hill-station."
  Since Ooty has two lakes, it satisfies the condition of having at least one lake. This means Ooty can be a hill-station. We cannot definitely infer that Ooty is not a hill-station. Thus, statement (i) is not logically valid.
• Statement (ii): "No hill-station can have more than one lake."
  The first premise only establishes a minimum requirement (at least one lake) for a place to be a hill-station. It does not restrict a hill-station from having multiple lakes. Thus, statement (ii) is not logically valid.

Since neither statement (i) nor statement (ii) can be logically inferred, the correct option is D.