Correct Option (D)
From the given statements:
- Statement 1 establishes that A is either older than B or of the same age as B (A ≥ B).
- Statement 3 explicitly states that B is older than C (B > C).
By combining these two relationships, if A is at least as old as B (A ≥ B) and B is strictly older than C (B > C), it logically follows that A must be strictly older than C (A > C). This conclusion holds true irrespective of whether A is older than B or of the same age as B.
Incorrect Options:
Option A: A is older than B
Statement 1 indicates that either A = B or A > B. The information provided is insufficient to definitively conclude that A is strictly older than B, as A could be of the same age as B.
Option B: B and D are of the same age
Statement 2 indicates D ≥ C, and Statement 3 states B > C. The given statements do not provide any direct or indirect information to establish a specific relationship between B and D, thus it is not possible to conclude that they are of the same age.
Option C: D is older than C
Statement 2 indicates that either C = D or D > C. The information provided is insufficient to definitively conclude that D is strictly older than C, as D could be of the same age as C.