Question:medium

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) Some men are of short-height.
(ii) Short-heighted men are intelligent.
(iii) Sudhir is a man.
(iv) Sudhir is of short-height.
(v) Sudhir is intelligent.
(vi) All men are intelligent.

Show Hint

Look for the general rule about short-heighted men and the fact that puts Sudhir in that group. The remaining statement should be about Sudhir, not about all men.
Updated On: Jul 17, 2026
  • i, ii, vi
  • iii, iv, ii
  • ii, iv, v
  • ii, iv, vi
Show Solution

The Correct Option is C

Solution and Explanation

A logically related set needs two premises and a conclusion that genuinely comes out of them. The six statements mix general rules about classes with particular facts about one person named Sudhir, so the working pattern is a rule plus an individual who falls under it.

  1. Option (A), i, ii, vi: Only some men are short-heighted, and short-heighted men are intelligent. Put together, these reach some men are intelligent and no further. Statement (vi) claims all men are intelligent, which widens a some into an all. That step is never valid.
  2. Option (B), iii, iv, ii: Sudhir is a man, Sudhir is short-heighted, short-heighted men are intelligent. Every one of these is a premise, and the conclusion they point to, Sudhir is intelligent, is missing from the set. With no conclusion present, the set is not logically related.
  3. Option (C), ii, iv, v: The rule in (ii) covers all short-heighted men. Statement (iv) places Sudhir among them. Applying the rule to Sudhir yields (v), Sudhir is intelligent. Two premises, one conclusion, chain complete. Valid.
  4. Option (D), ii, iv, vi: The premises here say something about Sudhir alone. Nothing in them lets you sweep up every man into the intelligent class, since only some men are short-heighted. Invalid.

Option (C) is the only set that works, so it is the answer.

Let us summarize:

  • A general rule plus a fact placing an individual under it gives a conclusion about that individual.
  • Statement (ii) is the rule, (iv) places Sudhir under it, and (v) is the conclusion.
  • A conclusion using all cannot be drawn from a premise using some.
  • A set of three premises with no conclusion, as in option (B), is not logically related.

So the correct set is ii, iv, v.

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