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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.
What is the maximum height (in cm) that P4 could have cleared?
    Correct answer is '180'. 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 P4 to have cleared the maximum height, we will consider the case where he made the minimum fouls. He jumped 7 times without any foul. So, the maximum height he could have cleared is 150 (in his first attempt) + 6(5) cm = (150+30) cm = 180 cm.
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    5 persons- P1, P2, P3, P4 and P5 took part in a unique high jump compe...
    Analysis:
    The key points to consider in this problem are the number of continuous jumps cleared, the number of elimination jumps faced, and the number of points scored by each participant.

    P4's Maximum Height:
    - P4 made a foul in his second jump.
    - P4 made a maximum of 3 jumps continuously twice.
    - P4 faced an elimination jump once and escaped elimination.
    - P4 scored enough points to clear the 10th jump.

    Reasoning:
    - Since P4 made a foul in his second jump, he could not have cleared the height of 155 cm in his second jump.
    - P4 made a maximum of 3 jumps continuously twice, which means he cleared the heights of 150 cm, 155 cm, and 160 cm in at least two separate instances.
    - P4 faced an elimination jump once but managed to escape elimination, indicating he did not commit 3 continuous fouls in a row.
    - P4 scored enough points to clear the 10th jump, which means he must have scored more than 20 points to cover the deductions for fouls.

    Conclusion:
    Given the information provided, P4 must have cleared the heights of 150 cm, 155 cm, and 160 cm in at least two separate instances. Since P4 did not commit 3 continuous fouls in a row and scored enough points to clear the 10th jump, the maximum height P4 could have cleared is 180 cm.
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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.How many participants did not commit a foul in their 5th attempt?

    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?

    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.How many points did P4 score?

    Three participants - Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants’ scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in Table 2.The following information is also known. Chatur always scores in multiples of 3. His score on Day 2 is the unique highest score in the competition. His minimum score is observed only on Day 1, and it matches Akhil’s score on Day 4. The total score on Day 3 is the same as the total score on Day 4. Bimal’s scores are the same on Day 1 and Day 3.If Akhil attains a total score of 24, then what is the total score of Bimal? Correct answer is '26'. Can you explain this answer?

    Three participants - Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants’ scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in Table 2.The following information is also known. Chatur always scores in multiples of 3. His score on Day 2 is the unique highest score in the competition. His minimum score is observed only on Day 1, and it matches Akhil’s score on Day 4. The total score on Day 3 is the same as the total score on Day 4. Bimal’s scores are the same on Day 1 and Day 3.What is the minimum possible total score of Bimal? Correct answer is '25'. Can you explain this answer?

    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.What is the maximum height (in cm) that P4 could have cleared?Correct answer is '180'. Can you explain this answer?
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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.What is the maximum height (in cm) that P4 could have cleared?Correct answer is '180'. 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.What is the maximum height (in cm) that P4 could have cleared?Correct answer is '180'. 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.What is the maximum height (in cm) that P4 could have cleared?Correct answer is '180'. Can you explain this answer?.
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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.What is the maximum height (in cm) that P4 could have cleared?Correct answer is '180'. 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.What is the maximum height (in cm) that P4 could have cleared?Correct answer is '180'. 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.What is the maximum height (in cm) that P4 could have cleared?Correct answer is '180'. 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.What is the maximum height (in cm) that P4 could have cleared?Correct answer is '180'. 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.What is the maximum height (in cm) that P4 could have cleared?Correct answer is '180'. Can you explain this answer? tests, examples and also practice CAT tests.
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