Question

This question contains four arguments of three sentences each. Choose the set in which the third statement is a logical conclusion of the first two.

A. Some Xs are Ps. Some Ps are Ys. Some Xs are Ys.
B. All Sonas are bright. Some bright are crazy. Some Sonas are crazy.
C. No faith is strong. Only strong have biceps. No faith has biceps.
D. All men are weak. Some weak are strong. Some strong are weak.

• A. A and D
• B. C only
• C. D only
• D. None of these

Hint:

In logical reasoning problems, check if the third statement logically follows from the first two, considering relationships like transitivity and exclusivity.

Answer 1

The Correct Option is B

Let's break down each set:
- Option (A): "Some Xs are Ps. Some Ps are Ys. Some Xs are Ys." This set follows a logical pattern. If some Xs are Ps and some Ps are Ys, then it is valid to conclude that some Xs are Ys.
- Option (B): "All Sonas are bright. Some bright are crazy. Some Sonas are crazy." This is not a valid conclusion because it does not necessarily follow. Even if all Sonas are bright, it does not guarantee that some Sonas are crazy, as not all bright people are crazy.
- Option (C): "No faith is strong. Only strong have biceps. No faith has biceps." This is a valid conclusion. Since "no faith is strong" and "only strong have biceps," the third statement "no faith has biceps" is logically correct.
- Option (D): "All men are weak. Some weak are strong. Some strong are weak." This is contradictory. It is illogical for "weak" and "strong" to interchange in this manner.
Thus, the correct answer is (B) C only as the third statement logically follows from the first two in this set.
Thus, the correct sequence is C only.