Among P, Q, R, S and T, each having a different weight, R is heavier than only…
2024
Among P, Q, R, S and T, each having a different weight, R is heavier than only P. S is lighter than Q and heavier than T. Who among them is the heaviest?
- A.
Q
- B.
P
- C.
S
- D.
T
Attempted by 7 students.
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Correct answer: A
In a chain-comparison (ranking) puzzle, convert every stated comparison into a single ordering using greater-than and less-than signs, then combine separate chains through any person common to both — the top of the final combined chain is the heaviest.
R is heavier than only P, so R > P, and R is lighter than every other person in the group — that is, R < Q, R < S, and R < T.
S is lighter than Q and heavier than T, giving the chain Q > S > T.
Combining both chains through R being lighter than Q, S, and T: Q > S > T > R > P.
Reading the chain from left to right, Q sits at the very top.
Checking each original statement against the order Q > S > T > R > P: R is heavier than only P (R > P, and R < S, T, Q) holds; S is lighter than Q and heavier than T holds. Both conditions are satisfied uniquely by this order, confirming Q as the heaviest.