Among A, B, C, D, E and F, who is the heaviest? Statements: I. A and D are…
2024
Among A, B, C, D, E and F, who is the heaviest?
Statements:
I. A and D are heavier than B, E and F, but neither of them is the heaviest.
II. A is heavier than D but lighter than C.
- A.
I alone is sufficient while II alone is not sufficient
- B.
II alone is sufficient while I alone is not sufficient
- C.
Either I or II is sufficient
- D.
Neither I nor II is sufficient
Attempted by 1 students.
Show answer & explanation
Correct answer: A
Concept: In Data Sufficiency, a statement is sufficient only when it lets you pin down one unique answer to the question using just the facts given in that statement -- test each statement on its own before combining them.
Statement I:
A and D are heavier than B, E and F, so none of B, E or F can be the heaviest.
The statement also says neither A nor D is the heaviest.
Among the six people (A, B, C, D, E, F), A, B, D, E and F are all now ruled out, leaving only C.
So C must be heavier than everyone else -- Statement I alone fixes the heaviest person.
Statement II:
Statement II only gives C heavier than A, and A heavier than D. It says nothing about how B, E or F compare with C, A or D, so it cannot rule out one of them being heavier than C. The heaviest person cannot be pinned down from Statement II alone.
Cross-check: Combining both statements is still consistent with C being the heaviest (no contradiction arises), but since Statement I alone already determines the answer, combining is not needed.
Answer: I alone is sufficient while II alone is not sufficient.