Multiple choice general knowledge math & puzzles

Six swimmers A, B, C, D, E, F compete in a race. The outcome is as follows. i. B does not win. ii. Only two swimmers separate E & D iii. A is behind D & E iv. B is ahead of E , with one swimmer intervening v. F is a head of D How many swimmers seperate A and F ?

  1. 1

  2. 2

  3. 3

  4. 4
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

From the clues: B is ahead of E by exactly 2 positions (condition iv), and E and D are separated by exactly 2 swimmers (condition ii). Working through the possibilities: if B is at position 3, then E is at 5 (B ahead by 2). For D to be separated from E by 2 swimmers, D must be at position 2. F is ahead of D (condition v), so F is at position 1. A is behind both D and E (condition iii), so A is at position 6. This leaves C at position 4. Final order: 1-F, 2-D, 3-B, 4-C, 5-E, 6-A. Therefore, 3 swimmers separate A and F.

AI explanation

To answer this question, we can use the given information to determine the positions of the swimmers. Let's go through each option to understand why it is correct or incorrect:

Option A) 1 - This option is incorrect because the question states that F is ahead of D, which means there is at least one swimmer (D) between A and F.

Option B) 2 - This option is incorrect because the question states that A is behind D and E, and F is ahead of D. Therefore, there are three swimmers (D, E, and F) between A and F.

Option C) 3 - This option is incorrect because the question states that A is behind D and E, and F is ahead of D. Therefore, there are three swimmers (D, E, and F) between A and F.

Option D) 4 - This option is correct because the question states that A is behind D and E, and F is ahead of D. Therefore, there are four swimmers (D, E, F, and one other swimmer) between A and F.

The correct answer is D. There are four swimmers that separate A and F.

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