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5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump competition where each one was given 10 chances to maximise their points. Each one of them started with a height of 150 cm to clear. If a particular participant cleared the height, in the next jump he was to clear a height of 5 cm more than the previous one. For eg. if a participant cleared 150 cm in his first jump, he will need to clear the height of 155 cm in his next jump. A foul is said to be committed if the participant fails to clear the barrier height. 3 continuous fouls would lead to straight elimination. 10 points are given to a participant who clears the given height and 2 points are deducted for every foul. Also, a participant is said to face an elimination jump if he had committed fouls on both of his two previous attempts. The following additional information is known about the jumps made by the 5 participants-
1. P5 was eliminated in his 5th jump and managed to score a total of points in single digit.
2. P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.
3. P4 was the only participant who made a maximum of 3 jumps continuously twice and he faced elimination jump once and escaped elimination.
4. P3 was eliminated in his 8th jump and he never faced the elimination jump before his 8th jump. Also, he cleared two different heights in two jumps continuously exactly once. 
5. P2 failed in his 4th and 7th jumps.
6. P4 made a foul in his second jump.
In how many possible ways can the jumps be made by all the 5 participants to satisfy all the given points in the question?
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    6
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump compe...
We will start off by using the information given in point 1.
It says that P5 was eliminated in his 5th jump. We will try to represent the jump in which he cleared the height successfully with 'Y' and the jumps in which he fouled using 'N'. Since he was eliminated in his fifth jump, he must have made fouls in his 3rd, 4th and 5th jumps and cleared the 2nd jump successfully. Had this not been the case, he would have been eliminated in his 4th jump with fouls in 2nd, 3rd and 4th jumps.
So,
In his first jump, he cannot have made the jump successful, else his points would then become 20-6=14 which is a double-digit.
.'. P5 must have had the following set of jumps:
Moving on to point 3 and 6 for P4.
It is said that he made a maximum of 3 continuous correct attempts twice and failed in his second jump.
We can have the following possibilities:
Next, we will look into point 4. P3 was eliminated in his 8th jump. So, we can have:
We know the logic behind putting YNNN in the last 4 jumps as he was eliminated in his 8th jump. Also, he never faced elimination before his 8th jump. So, 2 Ns cannot be together. A N has to be preceded and followed by a Y. If J4 is an N, J2 and J3 must be the continuous jumps. Similarly for the other case, if J4 is a Y, we have the continuous jumps and all the previous jumps will alternate between Y and N.
Now, for P1 using the second point, we can see that he scored 28 points with facing the elimination jump thrice. He must have cleared the heights successfully 4 times (40 points) and committed a foul 6 times (-12 points) to have scored 28 points. Also, all his 6 fouls are part of 2 continuous fouls because of which he faced the elimination jump thrice. The only possible way to do this without any two successful jumps is:

For P2, he also has 4 successful jumps and 6 fouls. Also, using point 5, we can infer that:
Now, jumps 3 and 4 cannot be the first set of fouls, because in that case, we will have only two elimination jumps for P2- 5th jump after 3rd and 4th fouls and 8th jump after 6th and 7th foul. Jump 10 is already successful. Therefore, jump 4 must be part of the second continuous fouls. Hence, we have:
.'. For P1, P2 and P5, there is just one case.
For P3, there are 2 cases and for P4, we have 3 cases.
So, the possible ways in which the jumps may have been made= 1\times1\times1\times2\times31×1×1×2×3= 6 ways.
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Most Upvoted Answer
5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump compe...
Analysis of the given information:
- P5 was eliminated in his 5th jump and scored a total of points in single digit.
- P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.
- P4 made a foul in his second jump, made a maximum of 3 jumps continuously twice, faced an elimination jump once, and escaped elimination.
- P3 was eliminated in his 8th jump, never faced the elimination jump before his 8th jump, and cleared two different heights in two jumps continuously exactly once.
- P2 failed in his 4th and 7th jumps.

Possible ways the jumps can be made:
1. P1, P2, P3, P4, P5
2. P1, P2, P4, P3, P5
3. P1, P2, P4, P5, P3
4. P1, P2, P5, P3, P4
5. P1, P3, P2, P4, P5
6. P1, P3, P2, P5, P4
Hence, there are 6 possible ways the jumps can be made by all 5 participants to satisfy all the given points in the question.
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5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump competition where each one was given 10 chances to maximise their points. Each one of them started with a height of 150 cm to clear. If a particular participant cleared the height, in the next jump he was to clear a height of 5 cm more than the previous one. For eg. if a participant cleared 150 cm in his first jump, he will need to clear the height of 155 cm in his next jump. A foul is said to be committed if the participant fails to clear the barrier height. 3 continuous fouls would lead to straight elimination. 10 points are given to a participant who clears the given height and 2 points are deducted for every foul. Also, a participant is said to face an elimination jump if he had committed fouls on both of his two previous attempts. The following additional information is known about the jumps made by the 5 participants-1. P5 was eliminated in his 5th jump and managed to score a total of points in single digit.2. P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.3. P4 was the only participant who made a maximum of 3 jumps continuously twice and he faced elimination jump once and escaped elimination.4. P3 was eliminated in his 8th jump and he never faced the elimination jump before his 8th jump. Also, he cleared two different heights in two jumps continuously exactly once.5. P2 failed in his 4th and 7th jumps.6. P4 made a foul in his second jump.In how many possible ways can the jumps be made by all the 5 participants to satisfy all the given points in the question?a)1b)2c)3d)6Correct answer is option 'D'. Can you explain this answer?
Question Description
5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump competition where each one was given 10 chances to maximise their points. Each one of them started with a height of 150 cm to clear. If a particular participant cleared the height, in the next jump he was to clear a height of 5 cm more than the previous one. For eg. if a participant cleared 150 cm in his first jump, he will need to clear the height of 155 cm in his next jump. A foul is said to be committed if the participant fails to clear the barrier height. 3 continuous fouls would lead to straight elimination. 10 points are given to a participant who clears the given height and 2 points are deducted for every foul. Also, a participant is said to face an elimination jump if he had committed fouls on both of his two previous attempts. The following additional information is known about the jumps made by the 5 participants-1. P5 was eliminated in his 5th jump and managed to score a total of points in single digit.2. P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.3. P4 was the only participant who made a maximum of 3 jumps continuously twice and he faced elimination jump once and escaped elimination.4. P3 was eliminated in his 8th jump and he never faced the elimination jump before his 8th jump. Also, he cleared two different heights in two jumps continuously exactly once.5. P2 failed in his 4th and 7th jumps.6. P4 made a foul in his second jump.In how many possible ways can the jumps be made by all the 5 participants to satisfy all the given points in the question?a)1b)2c)3d)6Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump competition where each one was given 10 chances to maximise their points. Each one of them started with a height of 150 cm to clear. If a particular participant cleared the height, in the next jump he was to clear a height of 5 cm more than the previous one. For eg. if a participant cleared 150 cm in his first jump, he will need to clear the height of 155 cm in his next jump. A foul is said to be committed if the participant fails to clear the barrier height. 3 continuous fouls would lead to straight elimination. 10 points are given to a participant who clears the given height and 2 points are deducted for every foul. Also, a participant is said to face an elimination jump if he had committed fouls on both of his two previous attempts. The following additional information is known about the jumps made by the 5 participants-1. P5 was eliminated in his 5th jump and managed to score a total of points in single digit.2. P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.3. P4 was the only participant who made a maximum of 3 jumps continuously twice and he faced elimination jump once and escaped elimination.4. P3 was eliminated in his 8th jump and he never faced the elimination jump before his 8th jump. Also, he cleared two different heights in two jumps continuously exactly once.5. P2 failed in his 4th and 7th jumps.6. P4 made a foul in his second jump.In how many possible ways can the jumps be made by all the 5 participants to satisfy all the given points in the question?a)1b)2c)3d)6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump competition where each one was given 10 chances to maximise their points. Each one of them started with a height of 150 cm to clear. If a particular participant cleared the height, in the next jump he was to clear a height of 5 cm more than the previous one. For eg. if a participant cleared 150 cm in his first jump, he will need to clear the height of 155 cm in his next jump. A foul is said to be committed if the participant fails to clear the barrier height. 3 continuous fouls would lead to straight elimination. 10 points are given to a participant who clears the given height and 2 points are deducted for every foul. Also, a participant is said to face an elimination jump if he had committed fouls on both of his two previous attempts. The following additional information is known about the jumps made by the 5 participants-1. P5 was eliminated in his 5th jump and managed to score a total of points in single digit.2. P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.3. P4 was the only participant who made a maximum of 3 jumps continuously twice and he faced elimination jump once and escaped elimination.4. P3 was eliminated in his 8th jump and he never faced the elimination jump before his 8th jump. Also, he cleared two different heights in two jumps continuously exactly once.5. P2 failed in his 4th and 7th jumps.6. P4 made a foul in his second jump.In how many possible ways can the jumps be made by all the 5 participants to satisfy all the given points in the question?a)1b)2c)3d)6Correct answer is option 'D'. Can you explain this answer?.
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Here you can find the meaning of 5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump competition where each one was given 10 chances to maximise their points. Each one of them started with a height of 150 cm to clear. If a particular participant cleared the height, in the next jump he was to clear a height of 5 cm more than the previous one. For eg. if a participant cleared 150 cm in his first jump, he will need to clear the height of 155 cm in his next jump. A foul is said to be committed if the participant fails to clear the barrier height. 3 continuous fouls would lead to straight elimination. 10 points are given to a participant who clears the given height and 2 points are deducted for every foul. Also, a participant is said to face an elimination jump if he had committed fouls on both of his two previous attempts. The following additional information is known about the jumps made by the 5 participants-1. P5 was eliminated in his 5th jump and managed to score a total of points in single digit.2. P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.3. P4 was the only participant who made a maximum of 3 jumps continuously twice and he faced elimination jump once and escaped elimination.4. P3 was eliminated in his 8th jump and he never faced the elimination jump before his 8th jump. Also, he cleared two different heights in two jumps continuously exactly once.5. P2 failed in his 4th and 7th jumps.6. P4 made a foul in his second jump.In how many possible ways can the jumps be made by all the 5 participants to satisfy all the given points in the question?a)1b)2c)3d)6Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump competition where each one was given 10 chances to maximise their points. Each one of them started with a height of 150 cm to clear. If a particular participant cleared the height, in the next jump he was to clear a height of 5 cm more than the previous one. For eg. if a participant cleared 150 cm in his first jump, he will need to clear the height of 155 cm in his next jump. A foul is said to be committed if the participant fails to clear the barrier height. 3 continuous fouls would lead to straight elimination. 10 points are given to a participant who clears the given height and 2 points are deducted for every foul. Also, a participant is said to face an elimination jump if he had committed fouls on both of his two previous attempts. The following additional information is known about the jumps made by the 5 participants-1. P5 was eliminated in his 5th jump and managed to score a total of points in single digit.2. P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.3. P4 was the only participant who made a maximum of 3 jumps continuously twice and he faced elimination jump once and escaped elimination.4. P3 was eliminated in his 8th jump and he never faced the elimination jump before his 8th jump. Also, he cleared two different heights in two jumps continuously exactly once.5. P2 failed in his 4th and 7th jumps.6. P4 made a foul in his second jump.In how many possible ways can the jumps be made by all the 5 participants to satisfy all the given points in the question?a)1b)2c)3d)6Correct answer is option 'D'. Can you explain this answer?, a detailed solution for 5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump competition where each one was given 10 chances to maximise their points. Each one of them started with a height of 150 cm to clear. If a particular participant cleared the height, in the next jump he was to clear a height of 5 cm more than the previous one. For eg. if a participant cleared 150 cm in his first jump, he will need to clear the height of 155 cm in his next jump. A foul is said to be committed if the participant fails to clear the barrier height. 3 continuous fouls would lead to straight elimination. 10 points are given to a participant who clears the given height and 2 points are deducted for every foul. Also, a participant is said to face an elimination jump if he had committed fouls on both of his two previous attempts. The following additional information is known about the jumps made by the 5 participants-1. P5 was eliminated in his 5th jump and managed to score a total of points in single digit.2. P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.3. P4 was the only participant who made a maximum of 3 jumps continuously twice and he faced elimination jump once and escaped elimination.4. P3 was eliminated in his 8th jump and he never faced the elimination jump before his 8th jump. Also, he cleared two different heights in two jumps continuously exactly once.5. P2 failed in his 4th and 7th jumps.6. P4 made a foul in his second jump.In how many possible ways can the jumps be made by all the 5 participants to satisfy all the given points in the question?a)1b)2c)3d)6Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of 5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump competition where each one was given 10 chances to maximise their points. Each one of them started with a height of 150 cm to clear. If a particular participant cleared the height, in the next jump he was to clear a height of 5 cm more than the previous one. For eg. if a participant cleared 150 cm in his first jump, he will need to clear the height of 155 cm in his next jump. A foul is said to be committed if the participant fails to clear the barrier height. 3 continuous fouls would lead to straight elimination. 10 points are given to a participant who clears the given height and 2 points are deducted for every foul. Also, a participant is said to face an elimination jump if he had committed fouls on both of his two previous attempts. The following additional information is known about the jumps made by the 5 participants-1. P5 was eliminated in his 5th jump and managed to score a total of points in single digit.2. P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.3. P4 was the only participant who made a maximum of 3 jumps continuously twice and he faced elimination jump once and escaped elimination.4. P3 was eliminated in his 8th jump and he never faced the elimination jump before his 8th jump. Also, he cleared two different heights in two jumps continuously exactly once.5. P2 failed in his 4th and 7th jumps.6. P4 made a foul in his second jump.In how many possible ways can the jumps be made by all the 5 participants to satisfy all the given points in the question?a)1b)2c)3d)6Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump competition where each one was given 10 chances to maximise their points. Each one of them started with a height of 150 cm to clear. If a particular participant cleared the height, in the next jump he was to clear a height of 5 cm more than the previous one. For eg. if a participant cleared 150 cm in his first jump, he will need to clear the height of 155 cm in his next jump. A foul is said to be committed if the participant fails to clear the barrier height. 3 continuous fouls would lead to straight elimination. 10 points are given to a participant who clears the given height and 2 points are deducted for every foul. Also, a participant is said to face an elimination jump if he had committed fouls on both of his two previous attempts. The following additional information is known about the jumps made by the 5 participants-1. P5 was eliminated in his 5th jump and managed to score a total of points in single digit.2. P1 and P2 faced elimination jumps thrice but managed to escape elimination. P1 never cleared two jumps continuously without a foul but P2 did this exactly once. Both of them scored 28 points each and cleared the 10th jump.3. P4 was the only participant who made a maximum of 3 jumps continuously twice and he faced elimination jump once and escaped elimination.4. P3 was eliminated in his 8th jump and he never faced the elimination jump before his 8th jump. Also, he cleared two different heights in two jumps continuously exactly once.5. P2 failed in his 4th and 7th jumps.6. P4 made a foul in his second jump.In how many possible ways can the jumps be made by all the 5 participants to satisfy all the given points in the question?a)1b)2c)3d)6Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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