R is taller than T. Both P and Q are taller than S, whose height is between P and T. If S is taller than T, who is the shortest?
- AP
- BS
- CQ
- DT
Solution & Step-by-step Explanation
Let's represent the given information using height inequalities (> means taller than):
R is taller than T:
R>T
Both P and Q are taller than S:
P>S and Q>S
S's height is between P and T, and S is taller than T:
Since P>S and S>T, we combine them as:
P>S>T
Let's summarize all relations with respect to T:
R>T
P>S>T
Q>S>T
In all scenarios, T is shorter than R,P,S, and Q. Therefore, T is definitely the shortest among them.
R is taller than T:
R>T
Both P and Q are taller than S:
P>S and Q>S
S's height is between P and T, and S is taller than T:
Since P>S and S>T, we combine them as:
P>S>T
Let's summarize all relations with respect to T:
R>T
P>S>T
Q>S>T
In all scenarios, T is shorter than R,P,S, and Q. Therefore, T is definitely the shortest among them.