In a class, there are eight students: P, Q, R, S, T, U, V, W.P is taller than Q, but shorter than R.Q is shorter than S, but taller than T.U is shorter than P, but taller than Q.V is taller than S, but shorter than U.W is shorter than Q.Based on the above information, which one of the following is true? U is taller than S. W is taller than S. W is the shortest of all. T is taller than W.Mark for LaterPrevious
Question
In a class, there are eight students: P, Q, R, S, T, U, V, W.P is taller than Q, but shorter than R.Q is shorter than S, but taller than T.U is shorter than P, but taller than Q.V is taller than S, but shorter than U.W is shorter than Q.Based on the above information, which one of the following is true? U is taller than S. W is taller than S. W is the shortest of all. T is taller than W.Mark for LaterPrevious
Solution
Let's break down the information given:
- P is taller than Q, but shorter than R.
- Q is shorter than S, but taller than T.
- U is shorter than P, but taller than Q.
- V is taller than S, but shorter than U.
- W is shorter than Q.
From these, we can infer the following:
- R is the tallest since no one is taller than R.
- P is shorter than R but taller than Q, S, T, U, V, W.
- Q is shorter than R, P, S, U but taller than T, W.
- S is shorter than R, P, U, V but taller than Q, T, W.
- T is the shortest among R, P, Q, S, U, V but we don't know about W.
- U is shorter than R, P but taller than Q, S, T, V, W.
- V is shorter than R, P, U but taller than Q, S, T, W.
- W is the shortest among R, P, Q, S, U, V but we don't know about T.
Now let's look at the options:
- U is taller than S. - This is true as per our inference.
- W is taller than S. - This is false as W is shorter than S.
- W is the shortest of all. - This is false as we don't know if W is shorter than T.
- T is taller than W. - This is also false as we don't know if T is taller than W.
So, the only true statement is "U is taller than S."
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