Question Details

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?

Options

A

None of the above

B

3

C

2

D

5

E

4

Show Answer

Correct Answer :

Option E

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.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...