Thread: logic problem

There are 4 boys , P,Q,R,S. If P is taller than R and Q is taller than S and P is shorter than Q and R is shorter than S, then if we arranged the boys in order of height from smallest to largest, only one of the statement is true:

a)R is shorter than S who is shorter than P who is shorter than Q
b)R is shorter than S who is shorter than Q who is shorter than P
c)R is shorter than P who is shorter than Q who is shorter than S
d)there is not enough information to tell

Originally Posted by kl050196

There are 4 boys , P,Q,R,S. If P is taller than R and Q is taller than S and P is shorter than Q and R is shorter than S, then if we arranged the boys in order of height from smallest to largest, only one of the statement is true:

a)R is shorter than S who is shorter than P who is shorter than Q
b)R is shorter than S who is shorter than Q who is shorter than P
c)R is shorter than P who is shorter than Q who is shorter than S
d)there is not enough information to tell

You are given the following relationships:

. . . . .P > R
. . . . .Q > S
. . . . .P < Q
. . . . .R < S

Since Q > P and P > R, then Q > P > R. Since S > R and P > R, and since Q > P > R, then you have three of four that are greater than R. So which must be the least?

Since Q > P > R and Q > S > R, then Q is shown as being greater than three of four. Which much be the greatest?

Is there any way to tell which of P and S is the greater?