Question

The question contains six statements followed by four sets of combination of three. Choose the set in which the statements are logically related.

Statements:
(i) X and Y are siblings.
(ii) X and Y do not quarrel.
(iii) Siblings are known to quarrel often.
(iv) X and Y quarrel often.
(v) All those who quarrel are siblings.
(vi) X and Y cannot be siblings.

• A. ii, iv, v
• B. i, iv, vi
• C. i, iii, iv
• D. i, ii, v

Hint:

Find the general rule about siblings, then the statement that puts X and Y inside that class. The third statement should be the rule applied to them.

Answer 1

The Correct Option is C

The set that is logically related is the one where two statements work as premises and the third comes out of them as a conclusion. Building the chain is easier than testing every option blindly, so start by finding a general rule among the six statements and an item that fits under it.

1. Option (A), ii, iv, v: Statement (ii) says X and Y do not quarrel while (iv) says they quarrel often. The two cannot both be true, and a set carrying a flat contradiction cannot be a valid argument. Rejected.
2. Option (B), i, iv, vi: Statement (i) makes X and Y siblings and (vi) says they cannot be siblings. Same problem, the set contradicts itself, and (iv) does not bridge them. Rejected.
3. Option (C), i, iii, iv: Statement (iii) gives the general rule that siblings quarrel often. Statement (i) places X and Y inside the class of siblings. Applying the rule to them gives (iv), that X and Y quarrel often. Premises (iii) and (i) lead to conclusion (iv), so the chain is valid.
4. Option (D), i, ii, v: The rule in (v) runs from quarrelling to being siblings. Statement (ii) says X and Y do not quarrel, which is the denial of the starting condition, and denying it proves nothing about the ending condition. So (i) does not follow. Rejected.

Only option (C) has premises that genuinely produce the third statement, so it is the answer.

Let us summarize:

• Look for a general rule plus an item covered by it, then the conclusion applying the rule to the item.
• Statements (iii) and (i) are the rule and the item, and (iv) is the conclusion.
• Sets carrying contradictory pairs, like (ii) with (iv) or (i) with (vi), can never be logically related.

So the correct set is i, iii, iv.