Question:medium

Choose the set of three statements where the third statement can be logically derived from the preceding two.
Statements:
1. Some students love reading.
2. Some adults do not love reading.
3. Some students are not adult.
4. Some students are adult.
5. No reading lover is an adult.
6. Some men do not love reading.
The set of statements is:

Updated On: Jul 15, 2026
  • 1, 3, 4
  • 1, 5, 3
  • 1, 2, 4
  • 6, 2, 4
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The Correct Option is B

Approach Solution - 1

Picture the reading-lovers as one group. Statement 1 places some students inside this group, and statement 5 says this entire group sits completely outside the adults group.

Since the students placed inside the reading-lovers group are, by statement 5, automatically outside the adults group, it directly follows that some students are not adults, exactly statement 3.

The other combinations either pair two particular statements together, 1 with 3, or 1 with 2, which can never force a conclusion in syllogistic logic, or mix in men (statement 6), a group with no stated connection to students at all.

Therefore, the correct answer is 1, 5, 3.

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Approach Solution -2

In formal syllogism terms, statement 1, "Some students love reading," is a particular affirmative premise (some S are R), and statement 5, "No reading lover is an adult," is a universal negative premise (no R is A). A recognised valid combination is a particular affirmative paired with a universal negative, which yields a particular negative conclusion, some S are not A, through the shared middle term R. Let's check each option against this rule:

  1. 1, 3, 4: Statement 3 is itself a particular negative and statement 4 a particular affirmative, but pairing statement 1 with statement 3 as if it were a premise doesn't follow the valid particular-plus-universal pattern, and no universal premise is even present here.
  2. 1, 5, 3: This matches the recognised valid pattern precisely, particular affirmative (1) plus universal negative (5), through the shared middle term "reading lovers," correctly yields the particular negative conclusion in statement 3.
  3. 1, 2, 4: Statement 2 is a particular negative, not a universal one, and two particular premises together never validly yield a conclusion in syllogistic logic.
  4. 6, 2, 4: Statements 6 and 2 are both particular negatives concerning terms other than students, again two particular premises, which cannot validly produce any conclusion.

The rule that a particular affirmative premise combined with a universal negative premise, sharing a common middle term, produces a particular negative conclusion applies only to the pairing of statements 1 and 5, giving statement 3.

Therefore, the correct answer is 1, 5, 3.

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