Question:medium

Choose the set of three statements where the third statement can be logically derived from the preceding two.
Statements:
1. All human beings need education.
2. All teachers need training.
3. Education is provided by the teachers.
4. X is a teacher.
5. X needs training.
6. Students are future of a nation.
The set of statements is:

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

Approach Solution - 1

Statement 2 lays down a rule that covers every teacher without exception, and statement 4 places X squarely inside that category by stating X is a teacher.

Applying a rule that covers every teacher to a specific person confirmed to be a teacher is a direct, valid step, it immediately gives statement 5, that X needs training.

None of the other option sets keep a consistent subject running through both premises into the stated conclusion; they either stay general throughout or shift to an unrelated term like students.

Therefore, the correct answer is 2, 4, 5.

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Approach Solution -2

Statement 2, "All teachers need training," is a universal rule covering the entire category of teachers. Statement 4, "X is a teacher," is a singular statement placing one specific individual inside that category. Applying a universal rule to a specific member of the category it governs is a standard valid syllogistic step, producing a singular conclusion about that individual. Let's check each option against this:

  1. 1, 2, 5: Both statements 1 and 2 stay at the level of entire categories, humans and teachers, neither one mentions the individual X, so no singular conclusion about X can be drawn from these two alone.
  2. 2, 3, 4: Statement 3 describes what teachers provide, not a rule about what teachers need, and statement 4 introduces X only as a conclusion candidate here, not fitting the premise-then-conclusion structure required.
  3. 2, 4, 5: Statement 2's universal rule, applied to statement 4's singular fact that X is a teacher, validly produces the singular conclusion in statement 5, that X needs training.
  4. 4, 5, 6: Statements 4 and 5 are both already about X, but jumping to statement 6, about students in general, abandons the individual X entirely, breaking the valid pattern.

Applying the universal rule that all teachers need training to the specific fact that X is a teacher is the only pairing that validly produces a conclusion about X, exactly statement 5.

Therefore, the correct answer is 2, 4, 5.

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