Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions: P P > T R < T If integers 1 through 5 are used to construct such a number, the value of P is:

3. From S>P>T and R T>R, so two digits (T,R) are below P. From P P, two digits (Q,S) are above P. With digits 1-5, P must be the middle value 3 (option 2), not 2.

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Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions: P < Q S > P > T R < T If integers 1 through 5 are used to construct such a number, the value of P is:

Correct answer: 3

Solution

From S>P>T and R<T we get P>T>R, so two digits (T,R) are below P. From P<Q and S>P, two digits (Q,S) are above P. With digits 1-5, P must be the middle value 3 (option 2), not 2.

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