X melts at a higher temperature than P melts. Y melts at a lower temperature than P melts, but at a higher temperature than Q melts. If the statements above are true, it can be concluded with certainty that S melts at a higher temperature than Y melts, if one knows in addition that
A. Q and P melt at a higher temperature than S melts.
B. X melts at a higher temperature than S melts.
C. P melts at a lower temperature than S melts.
D. Q melts at the same temperature than S melts.
E. S melts at a higher temperature than Q melts.
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Explanation: (C) From the given statements: \(P < X\); \(Q < Y < P\). Combining these, the order of melting temperatures is \(Q < Y < P < X\). To conclude that \(Y < S\), we need information about S relative to Y, P, or X. If we know \(P < S\), then since \(Y < P\), it must be true that \(Y < P < S\), or \(Y < S\). Thus, "P melts at a lower temperature than S melts" is sufficient.
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