Abhishek is elder to Savar. Savar is younger to Anshul. Which of the given conclusions is logically valid and is inferred from the above statements? A. Abhishek is elder to Anshul B. Anshul is elder to Abhishek C. Abhishek and Anshul are of the same age D. No conclusion follows

GATE 2013 · General Aptitude · Age Relation · medium

Answer: D. No conclusion follows

1. List the given facts symbolically: Statement 1: Abhishek elder to Savar => Abhishek > Savar. Statement 2: Savar younger to Anshul => Anshul > Savar. Both Abhishek and Anshul are independently known to be older than Savar.
2. Test conclusion A (Abhishek elder to Anshul): With Abhishek=28, Anshul=30, Savar=25: Abhishek(28) > Savar(25) [true], Anshul(30) > Savar(25) [true], but Abhishek(28) < Anshul(30). So 'Abhishek is elder to Anshul' is FALSE in this scenario. Option A is not necessarily true.
3. Test conclusion B (Anshul elder to Abhishek): With Abhishek=32, Anshul=30, Savar=25: both premises hold, but now Abhishek > Anshul. So 'Anshul is elder' is also not always true. Option B fails.
4. Test conclusion C (same age): From the same counterexamples their ages differ (28 vs 30 or 32 vs 30), so they need not be equal. Option C is false.
5. Conclude: No relationship between Abhishek and Anshul can be determined. The correct answer is D.