Question:
Choose the set of three statements where the third statement can be logically derived from the preceding two.
Statements:
1. All boys need books.
2. All girls need books.
3. Punjabis are girls.
4. Some Punjabis need book.
5. All boys are girls.
6. Some boys are Punjabis.
The set of statements is:
Choose the set of three statements where the third statement can be logically derived from the preceding two.
Statements:
1. All boys need books.
2. All girls need books.
3. Punjabis are girls.
4. Some Punjabis need book.
5. All boys are girls.
6. Some boys are Punjabis.
The set of statements is:
Statements:
1. All boys need books.
2. All girls need books.
3. Punjabis are girls.
4. Some Punjabis need book.
5. All boys are girls.
6. Some boys are Punjabis.
The set of statements is:
Updated On: Jul 15, 2026
- 5, 4, 1
- 2, 5, 3
- 6, 5, 3
- 5, 2, 1
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The Correct Option is D
Approach Solution - 1
The correct option is (D): 5, 2, 1.
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Approach Solution -2
Let B = boys, G = girls, N = need books, P = Punjabis. This question asks for the two premises that logically force the third statement as their conclusion. Let's check each option:
- 5, 4, 1: 'All boys are girls' and 'Some Punjabis need books' do not connect boys and Punjabis to books in a chained way; there is no route from these two statements to 'All boys need books'. Invalid.
- 2, 5, 3: 'All girls need books' and 'All boys are girls' connect girls and boys through needing books, but the conclusion offered, 'Punjabis are girls', introduces Punjabis, a term that appears in neither premise. Invalid.
- 6, 5, 3: 'Some boys are Punjabis' and 'All boys are girls' would, at best, only support 'Some Punjabis are girls', not the universal claim 'Punjabis are girls' stated here. Invalid.
- 5, 2, 1: 'All boys are girls' (All B are G) combined with 'All girls need books' (All G need N) is a textbook chain: every boy is a girl, and every girl needs books, so every boy needs books. This exactly produces 'All boys need books'.
Only the pairing of 'All boys are girls' with 'All girls need books' carries the middle term 'girls' all the way through to force the conclusion about boys and books.
Therefore, the correct answer is 5, 2, 1.
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Approach Solution -3
Think of four groups, Boys (B), Girls (G), those who Need books (N), and Punjabis (P). Statement 5 places the entire B circle completely inside the G circle. Statement 2 places the entire G circle completely inside the N circle. Let's test each option using this containment picture:
- 5, 4, 1: Statement 5 nests B inside G, and statement 4 places only some P inside N, a group not connected to B or G at all in these two premises, so no guaranteed conclusion about all boys needing books follows.
- 2, 5, 3: Statement 2 nests G inside N, and statement 5 nests B inside G, chaining these gives B inside N, boys need books, but the proposed conclusion instead talks about Punjabis being girls, a group neither premise mentions.
- 6, 5, 3: Statement 6 places only some B inside P, a partial overlap, and statement 5 nests all of B inside G. Combined, these only support that some P might be inside G, not the universal claim that all Punjabis are girls.
- 5, 2, 1: Statement 5 nests all of B inside G, and statement 2 nests all of G inside N. Chaining these containments directly gives all of B inside N, exactly statement 1, all boys need books.
Nesting B inside G inside N through statements 5 and 2 is the only chain here that lands exactly on a conclusion actually offered by one of the four options.
Therefore, the correct answer is 5, 2, 1.
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Top CLAT Logical Reasoning Questions
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[Extracted, with edits and revisions, from “Stiff test: Editorial on depreciation of rupee & challenges before RBI”, The Telegraph]
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[Col. Wedgwood, MP, speaking in the British Parliament, 22 December 1919]
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