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?
T
Height Comparison Logic Analysis
We need to determine the shortest person based on the given height comparisons.
Information Breakdown
- R is taller than T:
R > T$ - P is taller than S:
P > S$ - Q is taller than S:
Q > S$ - S's height is between P and T. This means either
P > S > T$ orT > S > P$. - S is taller than T:
S > T$.
Combining the Statements
The condition S > T$ eliminates the possibility T > S > P$. Therefore, we must have:
P > S > T$
Now, let's combine all known inequalities:
- From
P > S > T$, we know P and S are taller than T. - From
Q > S$ andS > T$, we know Q is also taller than T. - We are given
R > T$, meaning R is also taller than T.
Determining the Shortest
We have established that P, S, Q, and R are all taller than T.
P > T$S > T$Q > T$R > T$
Since T is shorter than all other individuals mentioned (P, S, Q, R), T is the shortest person.
Important Questions from Order Based
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Pinky is taller than Priya but shorter than Reena. Riya is taller than Sheela, who is shorter than Priya. Reena is taller than Riya, who is taller than Pinky. Who is the shortest?
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