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Question

Horse E was running ahead of horse D in the middle of the race. Horse C was ahead of horse A but behind horse B. Horse A was running ahead of horse E. From this point on, the fourth-placed horse took the lead and won the race. If the positions of the other horses remained the same, which horse was in the middle at the end of the race?

The correct answer is

C

Understanding the Horse Race Logic Puzzle

This question asks us to determine the final position of horses in a race based on a series of clues about their positions during the race and a specific rule change that affects the outcome.

Analyzing the Clues for the Middle of the Race Positions

We are given several statements about the horses' positions during the middle of the race:

  • Horse E was running ahead of horse D. (E > D)
  • Horse C was ahead of horse A but behind horse B. (B > C > A)
  • Horse A was running ahead of horse E. (A > E)

Let's combine these clues to establish the full order of the horses in the middle of the race.

  • From the second clue, we have the sequence B > C > A.
  • The third clue tells us A > E. We can append this to the sequence: B > C > A > E.
  • The first clue tells us E > D. We can append this: B > C > A > E > D.

So, the order of horses from first to last in the middle of the race was B, C, A, E, D.

Identifying Positions in the Middle of the Race

Based on the order B > C > A > E > D, the positions in the middle of the race were:

Position Horse
1st B
2nd C
3rd A
4th E
5th D

Applying the Rule Change for the End of the Race

The question states: "From this point on, the fourth-placed horse took the lead and won the race."

In the middle of the race, the fourth-placed horse was Horse E.

This means Horse E moved from 4th position to 1st position at the end of the race.

The question also states: "If the positions of the other horses remained the same..." This implies that the relative order of the other horses (B, C, A, D) remains unchanged among themselves, even though E has moved ahead of them.

Determining Final Positions at the End of the Race

At the end of the race:

  • Horse E is in 1st place (as it took the lead and won).
  • The remaining horses (B, C, A, D) maintain their relative order B > C > A > D behind E.

So, the final order of horses from first to last is E, B, C, A, D.

Identifying the Middle Horse at the End of the Race

There are 5 horses in total. In a list of 5 items, the middle position is the 3rd position.

Let's list the final positions:

Final Position Horse
1st E
2nd B
3rd C
4th A
5th D

The horse in the 3rd position at the end of the race is Horse C.

Conclusion

By analyzing the initial clues to determine the positions in the middle of the race and then applying the specific rule change for the end of the race, we found the final order. The horse in the middle position (3rd place) at the end of the race was Horse C.

Revision Table - Horse Race Positions

Detail Middle of Race End of Race
Order (1st to 5th) B, C, A, E, D E, B, C, A, D
Horse in 4th position E A
Horse in 1st position B E
Horse in Middle (3rd) position A C

Additional Information - Logic Puzzles and Positional Reasoning

Logic puzzles like this horse race scenario test your ability to follow instructions, combine multiple pieces of information, and deduce outcomes. Positional reasoning specifically involves understanding spatial or sequential relationships (like who is ahead of whom) and how changes affect those relationships.

  • Step-by-step deduction: Break down complex problems into smaller, manageable steps.
  • Combining clues: Look for overlapping information or ways to link separate clues together.
  • Tracking changes: Understand how a specific event (like a horse taking the lead) alters the previously established order while keeping other relationships consistent.
  • Identifying key positions: Pay attention to exactly which position (like fourth place or the middle) is relevant to the question and the rule change.

Practicing these types of puzzles helps improve analytical thinking and attention to detail, skills valuable in competitive exams and everyday problem-solving.

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Important Questions from Ordering and Ranking

  1. In a row of people all facing north, Prince is 5th from the right end. Amit is 15th from the right end. Amit is exactly between Prince and Aditya. If Aditya is sixth from the left end of the line, how many people are there in the row?

  2. In a row, Mansi is 29th from the left and 33rd from the right. How many students are there in the row?

  3. A class has a total of 60 students. Student 'B' is at 41st rank in merit order from the bottom. What is the rank of student 'B' from the top?

  4. A medical representative plans to visit each of six hospitals — A, B, C, D, E and F — exactly once during the course of one day. He is setting up his schedule for the day according to the following conditions:

    i. He must visit A before B and E.

    ii. He must visit B before D.

    iii. The third hospital he visits must be C.

    Which of the following could be the possible order in which the medical representative visits the six hospitals?
  5. Sonam is older than Renu. Komal is younger than Renu. Priya is older than Sonam. Who is the eldest of them?

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