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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?

This question was previously asked in
SSC Stenographer 2020-21 Previous Year Paper (15-Nov-2021) (Shift 2)
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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Similar Questions

  1. Ina class of 64 students, Komal’s rank is 6 positions lower (i.e. towards bottom) than her friend Shikha, who is at the 59 th position from the end. What is Komal’s rank from the top in the class?

  2. In a shopping mall, five water bottles labelled as A, B, C, D and E were placed in a rack.

    The bottle A has less price than the bottle B. The bottle C has less price than the bottle D. The bottle B has less price than the bottle C and bottle A has more price than the bottle E.

    If a customer wants to buy a bottle of maximum price, then which bottle he/she has to buy?
  3. In a class, there are 40 students. Some of them passed the examination and others failed. Raman’s rank among the student who have passed is 13 th from top and 17th from bottom. How many students have failed?

  4. D, E, K, W, X, Y and Z scored different marks in an exam. K scored more than only two people. E scored less than only one person. W scored more than D but less than both E and Z. D did not score the lowest marks and Z did not score the highest marks. X scored less than Y. How many people scored more than Y?
  5. Rohan is 13 th from top and Raman is 36 th from bottom in the list of passed students. There are 5 students between Raman and Rohan. 9 students failed. How many minimum students are there?

  6. In a class of 40 students, John is ranked \(12^{th}\) from the top. What is his rank from the bottom?
  7. Out of 72 students, boys are twice girls. A girl is ranked \(12^{th}\) from top. If 5 boys are ahead of her, how many girls are after her?
  8. Class has 70 students. Boys = girls. Suman is \(19^{th}\) from top, 10 girls ahead. How many boys are behind her?
  9. In a silk sari showroom there are 10 exclusive and highly expensive saris- 3 of Kalamkari, 3 Ikat, 2 Kanchi and 2 Banaras, are arranged in a shelf from top to bottom as follows;

    There is a Banaras sari between a Kalamkari and Kanchi sari,

    A Kalamkari sari between a Kanchi and an Banaras sari.

    A Ikat sari between a Banaras and a Kanchi sari,

    A Kanchi sari between two Ikat saris and

    Two Ikat saris between a Kanchi and a Kalamkari sari.

    Which type of sari is present in that arrangement in 6th place from top?

  10. Five children sat for an aptitude test.

    In the result report, it was noted that child A scored less marks than child B. Child C scored less marks than child D. Child B scored less marks than child C and child A scored more marks than the child E.

    Who did score the highest marks?


Important Questions from Ordering and Ranking

  1. Three persons A, Band Care standing in a queue not necessarily in the same order. There are 4 persons between Aand B, and 7 persons between Band C. If there are 11 persons ahead of Cand 13 behind A, what could be the minimum number of persons in the queue?

  2. In a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:

  3. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Monday?

  4. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled between Statistics and English?

  5. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is the last one in the week?

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