Question

Two statements are given, followed by four options. Decide which statement logically follows the given premises.
Statements:
(i) Cheese is bad for people with high-cholesterol.
(ii) Sumeet does not eat cheese.
(a) Sumeet has high-cholesterol.
(b) Cheese is bad for Sumeet.
(c) People with high-cholesterol do not eat cheese.
(d) None of the above.

• A. Sumeet has high-cholesterol.
• B. Cheese is bad for Sumeet.
• C. People with high-cholesterol do not eat cheese.
• D. None of the above.

Hint:

Be careful to distinguish between specific facts about an individual and general rules about a group. A statement about “all with high cholesterol” applies to everyone in that category, but does not confirm whether a specific person belongs to it.

Answer 1

The Correct Option is C

From (i) we know that cheese is harmful for those who have high cholesterol. This implies a general precautionary principle — people with high cholesterol \emph{should not} eat cheese.
Statement (ii) says Sumeet does not eat cheese, but does not specify whether he has high cholesterol or not, so we cannot conclude (a).
We also cannot conclude (b) because for cheese to be bad for Sumeet, he must have high cholesterol, which is not stated.
However, the universal form of (i) — “For all $x$, if $x$ has high cholesterol, then $x$ does not eat cheese” — matches option (c). This is a logically valid generalization from the given premise.
Thus, option (c) follows.