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Five books P, Q, R, S, and T have different prices. R is costlier than only T. P is costlier than R but cheaper than Q. S is costlier than Q. Which book is the second cheapest?
P
Q
R
T
R
Represent the order linearly from most expensive to cheapest: S > Q > P > R > T. The second cheapest is simply the second from the right.
Represent the order linearly from most expensive to cheapest: S > Q > P > R > T. The second cheapest is simply the second from the right.
Establish the position of R and T
R is costlier than only T. This means R is the 4th costliest and T is the 5th (cheapest) because only T is cheaper than R.
Incorporate P and Q
P is costlier than R but cheaper than Q, so the order becomes Q > P > R > T.
Incorporate S and determine final ranking
S is costlier than Q, creating the complete sequence: S > Q > P > R > T. Ranking from most to least expensive: 1st S, 2nd Q, 3rd P, 4th R, 5th T.
A: P is the 3rd cheapest, not the 2nd. B: Q is the 2nd costliest, not the 2nd cheapest. D: T is the cheapest (5th).
C is correct because based on the sequence S > Q > P > R > T, the book at the 4th position (2nd cheapest) is R.
In ranking problems with 'only' statements (e.g., 'Only X is taller than Y'), always place the subject at the extreme ends of the comparison chain immediately to simplify the rest.