Directions to solve: 1. Shreya is older than Riya. 2. Sita is older than…
2023
Directions to solve:
1. Shreya is older than Riya.
2. Sita is older than Shreya.
3. Riya is older than Sita.
If the first two statements are true, then the third statement is:
- A.
True
- B.
False
- C.
Uncertain
- D.
None Of These
Show answer & explanation
Correct answer: B
Concept:
When one quantity is stated to be greater than a second, and that second is greater than a third, transitivity of the 'older than' relation fixes a unique order for all three — if A is older than B and B is older than C, then A must be older than C, with no other order possible.
Applying it here:
Statement 1: Shreya is older than Riya.
Statement 2: Sita is older than Shreya.
Chaining the two by transitivity: Sita is older than Shreya, who is older than Riya — so Sita is the oldest of the three and Riya is the youngest.
Statement 3 claims Riya is older than Sita — the exact reverse of the order just derived, where Riya was shown to be the youngest and Sita the oldest.
Cross-check:
Substituting the derived order back into the two given statements confirms both hold, and no alternative order is consistent with them — so the reversed claim in the third statement cannot also be true.
Answer:
Given the first two statements are true, the third statement is False.