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) 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.
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.
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
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Question:
Find the set where two statements act as premises and the third is their conclusion. Some statements here are general rules about classes and others are facts about one person, Sudhir.
Step 2: Key Formula or Approach:
Use the rule for applying a general statement to an individual. If All A are B and this particular item is an A, then this item is a B. The general rule and the individual fact are the premises, and the statement about the individual is the conclusion.
Step 3: Detailed Explanation:
Check option (C), which is ii, iv, v.
Premise (ii): Short-heighted men are intelligent. This is the general rule, so every member of the class of short-heighted men carries the property of being intelligent.
Premise (iv): Sudhir is of short-height. This puts Sudhir inside that class.
Conclusion (v): Sudhir is intelligent. That is the rule applied to a member of the class, so the chain is valid.
Step 4: Testing the other options:
Option (A) is i, ii, vi. From some men are short-heighted and short-heighted men are intelligent, you can only reach some men are intelligent. Concluding (vi), all men are intelligent, stretches a some statement into an all statement, which is never allowed.
Option (B) is iii, iv, ii. All three are premises with no conclusion among them. Sudhir being a man and being short-heighted plus a rule about short-heighted men would give Sudhir is intelligent, but that statement, (v), is not in this set, so nothing here follows from the rest.
Option (D) is ii, iv, vi. Statements (ii) and (iv) together tell you about Sudhir, not about all men. Reaching (vi), all men are intelligent, would need every man to be short-heighted, and (i) only says some men are. Invalid.
Step 5: Final Answer:
The valid chain is ii, iv, v, so the answer is option (C).
Find the set where two statements act as premises and the third is their conclusion. Some statements here are general rules about classes and others are facts about one person, Sudhir.
Step 2: Key Formula or Approach:
Use the rule for applying a general statement to an individual. If All A are B and this particular item is an A, then this item is a B. The general rule and the individual fact are the premises, and the statement about the individual is the conclusion.
Step 3: Detailed Explanation:
Check option (C), which is ii, iv, v.
Premise (ii): Short-heighted men are intelligent. This is the general rule, so every member of the class of short-heighted men carries the property of being intelligent.
Premise (iv): Sudhir is of short-height. This puts Sudhir inside that class.
Conclusion (v): Sudhir is intelligent. That is the rule applied to a member of the class, so the chain is valid.
Step 4: Testing the other options:
Option (A) is i, ii, vi. From some men are short-heighted and short-heighted men are intelligent, you can only reach some men are intelligent. Concluding (vi), all men are intelligent, stretches a some statement into an all statement, which is never allowed.
Option (B) is iii, iv, ii. All three are premises with no conclusion among them. Sudhir being a man and being short-heighted plus a rule about short-heighted men would give Sudhir is intelligent, but that statement, (v), is not in this set, so nothing here follows from the rest.
Option (D) is ii, iv, vi. Statements (ii) and (iv) together tell you about Sudhir, not about all men. Reaching (vi), all men are intelligent, would need every man to be short-heighted, and (i) only says some men are. Invalid.
Step 5: Final Answer:
The valid chain is ii, iv, v, so the answer is option (C).
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