Banana cost more than mango. Banana cost less than strawberry. Strawberry cost…
2024
Banana cost more than mango.
Banana cost less than strawberry.
Strawberry cost more than mango and banana.
If given 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: A
Concept: In a statement-verification question, a third statement is judged True only if it necessarily follows from chaining the given premises through their shared term, False only if it contradicts them, Uncertain only if the premises leave it genuinely undetermined, and None of these only if it fits none of the other three. Two one-directional comparisons that share a common term chain directly: if X is greater than Y, and Y is greater than Z, then X is greater than Z.
Application:
Statement 1 gives Banana > Mango.
Statement 2 gives Strawberry > Banana.
Chaining through Banana: Strawberry > Banana > Mango, so Strawberry costs more than both Mango and Banana.
Cross-check: Assign sample prices consistent with the two premises - Mango = 10, Banana = 15, Strawberry = 20. Strawberry (20) is indeed greater than both Mango (10) and Banana (15) here, and this holds for any values satisfying the premises, not just this particular set. Hence the third statement necessarily holds, so it is True.