Read the following information carefully and answer the questions that follow.
Eight athletes P, Q, R, S, U, W, K and M participated in a running race, with each finishing in a unique position. W finished last. U finished immediately ahead of W and immediately behind Q. R finished ahead of K, but behind no other runner. M finished ahead of S but behind P, while K finished ahead of P.
How many athletes finished ahead of S?
Correct Answer :
4
Solution :
Let's analyze the given information step-by-step to determine the exact finishing order of all eight athletes (from 1st position to 8th position).
Step 1: Parse the clues
1. Total athletes: P, Q, R, S, U, W, K, and M (8 athletes).
2. "W finished last."
⇒ Position 8 = W
3. "U finished immediately ahead of W and immediately behind Q."
⇒ Positions 6, 7, 8 are Q, U, W respectively.
4. "R finished ahead of K, but behind no other runner."
⇒ Being behind no other runner means R finished 1st.
⇒ Position 1 = R
5. "R finished ahead of K, ... while K finished ahead of P, M finished ahead of S but behind P."
⇒ The order among K, P, M, S is: K > P > M > S.
Step 2: Combine the remaining positions
We know:
- Position 1: R
- Positions 6, 7, 8: Q, U, W
This leaves positions 2, 3, 4, and 5 open for the remaining four athletes: K, P, M, S.
Since their relative order is K > P > M > S, they must fill positions 2 to 5 in that exact order:
- Position 2 = K
- Position 3 = P
- Position 4 = M
- Position 5 = S
Step 3: Final finishing order
1st: R
2nd: K
3rd: P
4th: M
5th: S
6th: Q
7th: U
8th: W
Step 4: Answer the question
The question asks: "How many athletes finished ahead of S?"
Since S finished in 5th position, the athletes who finished ahead of S are R (1st), K (2nd), P (3rd), and M (4th).
Therefore, exactly 4 athletes finished ahead of S.
The correct option is 4.
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