Question:

Given statements:
1. All boys need books.
2. All girls need books.
3. Punjabis are girls.
4. Some Punjabis need books.
5. All boys are girls. 6. Some boys are Punjabis.
The set of statements is: 
 

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In syllogism-type grouping, check if two statements logically imply the third. A valid set will often form a direct chain (A→B, B→C, hence A→C).
Updated On: Aug 14, 2025
  • 5, 4, 1
  • 2, 5, 3
  • 6, 5, 3
  • 5, 2, 1
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The Correct Option is D

Solution and Explanation

The correct set is (D) — statements 5, 2, and 1.
Reasoning:
(5) “All boys are girls” — universal affirmative linking boys to girls.
(2) “All girls need books” — universal affirmative linking girls to books.
(1) “All boys need books” — this follows logically from (5) and (2) by the transitive property of syllogisms: Boys $\subset$ Girls and Girls $\subset$ Book-needers $\Rightarrow$ Boys $\subset$ Book-needers.

This set is internally consistent and directly connected through a common chain of reasoning. Other groupings fail because they either introduce unrelated categories or contain statements not derivable from the others. 
 

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