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Directions: Exactly seven persons J, K, L, M, N, O and P participate in and Finish all of a series of 1 km races. There are no ties for any position at the finish of any of the races. Conditions
(i) P always finishes somewhere ahead of J
(ii) J always finishes somewhere ahead of K
(iii) Either L finishes first and N finishes last or M finishes first and or K finishes last
If in a race P finishes fifth which of the following must be true?
  • a)
    L finishes fourth
  • b)
    K finishes six
  • c)
    N finishes
  • d)
    M finishes first
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Exactly seven persons J, K, L, M, N, O and P participate ...
To solve this question, let's analyze the given conditions and deduce the possible outcomes.

Conditions:
(i) P always finishes somewhere ahead of J.
(ii) J always finishes somewhere ahead of K.
(iii) Either L finishes first and N finishes last or M finishes first and K finishes last.

Given that P finishes fifth, we can make the following deductions:

1. P finishes fifth:
Since P always finishes ahead of J, we can deduce that J finishes after P. Therefore, J cannot finish in the fifth position.

2. J finishes ahead of P:
As per condition (ii), J always finishes ahead of K. Since J cannot finish in the fifth position, K also cannot finish in the fifth position.

3. Deductions from condition (iii):
(iii) Either L finishes first and N finishes last or M finishes first and K finishes last.

- If L finishes first and N finishes last:
In this scenario, we can deduce that M finishes after N, which means M cannot finish first.

- If M finishes first and K finishes last:
In this scenario, we can deduce that N finishes after M, which means N cannot finish last.

From the deductions above, we can conclude that M cannot finish first and N cannot finish last.

Therefore, the only remaining possibility is that L finishes first and N finishes last. Let's analyze the remaining positions:

1. L finishes first:
Since L finishes first, J must finish after L.

2. N finishes last:
Since N finishes last, K must finish before N.

Based on the deductions, we can now arrange the positions as follows:

L (first) - J - P (fifth) - M - K - O - N (last)

From the above arrangement, we can see that M finishes after P, which means M finishes first.

Therefore, the correct answer is (d) M finishes first.
Community Answer
Directions: Exactly seven persons J, K, L, M, N, O and P participate ...
We have,
Now, using condition (i) and (ii), we get
Now, using condition (iii), we get
it is clear that option (4) is true.
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Directions: Exactly seven persons J, K, L, M, N, O and P participate in and Finish all of a series of 1 km races. There are no ties for any position at the finish of any of the races. Conditions(i) P always finishes somewhere ahead of J(ii) J always finishes somewhere ahead of K(iii) Either L finishes first and N finishes last or M finishes first and or K finishes lastIf in a race P finishes fifth which of the following must be true?a)L finishes fourthb)K finishes sixc)N finishesd)M finishes firstCorrect answer is option 'D'. Can you explain this answer?
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Directions: Exactly seven persons J, K, L, M, N, O and P participate in and Finish all of a series of 1 km races. There are no ties for any position at the finish of any of the races. Conditions(i) P always finishes somewhere ahead of J(ii) J always finishes somewhere ahead of K(iii) Either L finishes first and N finishes last or M finishes first and or K finishes lastIf in a race P finishes fifth which of the following must be true?a)L finishes fourthb)K finishes sixc)N finishesd)M finishes firstCorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Exactly seven persons J, K, L, M, N, O and P participate in and Finish all of a series of 1 km races. There are no ties for any position at the finish of any of the races. Conditions(i) P always finishes somewhere ahead of J(ii) J always finishes somewhere ahead of K(iii) Either L finishes first and N finishes last or M finishes first and or K finishes lastIf in a race P finishes fifth which of the following must be true?a)L finishes fourthb)K finishes sixc)N finishesd)M finishes firstCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Exactly seven persons J, K, L, M, N, O and P participate in and Finish all of a series of 1 km races. There are no ties for any position at the finish of any of the races. Conditions(i) P always finishes somewhere ahead of J(ii) J always finishes somewhere ahead of K(iii) Either L finishes first and N finishes last or M finishes first and or K finishes lastIf in a race P finishes fifth which of the following must be true?a)L finishes fourthb)K finishes sixc)N finishesd)M finishes firstCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Exactly seven persons J, K, L, M, N, O and P participate in and Finish all of a series of 1 km races. There are no ties for any position at the finish of any of the races. Conditions(i) P always finishes somewhere ahead of J(ii) J always finishes somewhere ahead of K(iii) Either L finishes first and N finishes last or M finishes first and or K finishes lastIf in a race P finishes fifth which of the following must be true?a)L finishes fourthb)K finishes sixc)N finishesd)M finishes firstCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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