Abhishek was playing an interesting timed game in which he was supposed to pick up the marbles scattered on the floor in exactly 5 minutes from the time the buzzer went off. During each of his 25 attempts, he tried to pick up the maximum number of marbles lying on the floor. However, after a certain number of attempts, he forgot the count of marbles he had picked up in each of the previous rounds. The only figure he could remember now was that he had picked up a total of 337 marbles in the first 5 rounds. Further, he never picked up the same number of marbles in any of the rounds and always picked a number of marbles less than the number of marbles picked up by him in the previous round.Q. If in two of the rounds he had picked up 100 or more marbles, the least number of marbles he could have picked up in any of the rounds can be at most:Correct answer is '24'. Can you explain this answer?

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Abhishek was playing an interesting timed game in which he was supposed to pick up the marbles scattered on the floor in exactly 5 minutes from the time the buzzer went off. During each of his 25 attempts, he tried to pick up the maximum number of marbles lying on the floor. However, after a certain number of attempts, he forgot the count of marbles he had picked up in each of the previous rounds. The only figure he could remember now was that he had picked up a total of 337 marbles in the first 5 rounds. Further, he never picked up the same number of marbles in any of the rounds and always picked a number of marbles less than the number of marbles picked up by him in the previous round.

Q. If in two of the rounds he had picked up 100 or more marbles, the least number of marbles he could have picked up in any of the rounds can be at most:

Correct answer is '24'. Can you explain this answer?

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Abhishek was playing an interesting timed game in which he was suppose...

Since We are supposed to maximize the least number of marbles he could have picked up, let us begin by assuming first that the least possible number of marbles he could have picked up in first two rounds was 201, (1st round: 101 and 2nd round: 100).
Now, in the next three rounds he would have picked up 136 marbles (337 - 101). To maximize the least number of marbles, the number of marbles he might have picked up in 3rd, 4th and 5th round should be as close as possible.
This gives us possible breakup of 47, 45 and 44 marbles respectively.
Now, from round 6 the number of marbles that he could have picked up can be in decreasing order (decremented by 1 at each step) as shown.

The least number of marbles that he could have picked up in any of the rounds can be at most 24.
Answer: 24

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Abhishek was playing an interesting timed game in which he was suppose...

Introduction:
In this problem, Abhishek is playing a timed game where he has to pick up marbles from the floor in exactly 5 minutes. He wants to maximize the number of marbles picked up in each round, but he forgets the count of marbles he had picked up in previous rounds. It is given that he picked up a total of 337 marbles in the first 5 rounds and he never picked up the same number of marbles in any round. We need to find the least number of marbles he could have picked up in any of the rounds if he had picked up 100 or more marbles in two rounds.

Assumptions:
In order to solve this problem, let's make some assumptions:
1. Abhishek picked up a different number of marbles in each round.
2. Abhishek picked up 100 or more marbles in exactly two rounds.
3. Abhishek picked up the maximum possible number of marbles in each round.

Approach:
To find the least number of marbles Abhishek could have picked up in any round, we need to maximize the number of marbles in each round while ensuring that the total number of marbles picked up in the first 5 rounds is 337.

Analysis:
Let's analyze the given information:
1. Abhishek picked up a total of 337 marbles in the first 5 rounds.
2. He picked up a different number of marbles in each round.
3. He picked up 100 or more marbles in two rounds.

Maximizing the number of marbles:
To maximize the number of marbles in each round, we need to distribute the 337 marbles among the 5 rounds in such a way that the difference between the number of marbles picked up in consecutive rounds is maximized.

Step 1:
Let's assume Abhishek picked up x marbles in the first round. Since he picked up 100 or more marbles in two rounds, the maximum number of marbles he could have picked up in the first round is 99.

Step 2:
In the second round, he picked up a different number of marbles. Let's assume he picked up y marbles in the second round. Since he picked up 100 or more marbles in two rounds, the maximum number of marbles he could have picked up in the second round is 98.

Step 3:
In the third round, he picked up a different number of marbles. Let's assume he picked up z marbles in the third round. Since he picked up 100 or more marbles in two rounds, the maximum number of marbles he could have picked up in the third round is 97.

Step 4:
In the fourth round, he picked up a different number of marbles. Let's assume he picked up p marbles in the fourth round. Since he picked up 100 or more marbles in two rounds, the maximum number of marbles he could have picked up in the fourth round is 96.

Step 5:
In the fifth round, he picked up a different number of marbles. Let's assume he picked up q marbles in the fifth round. Since he

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Abhishek was playing an interesting timed game in which he was supposed to pick up the marbles scattered on the floor in exactly 5 minutes from the time the buzzer went off. During each of his 25 attempts, he tried to pick up the maximum number of marbles lying on the floor. However, after a certain number of attempts, he forgot the count of marbles he had picked up in each of the previous rounds. The only figure he could remember now was that he had picked up a total of 337 marbles in the first 5 rounds. Further, he never picked up the same number of marbles in any of the rounds and always picked a number of marbles less than the number of marbles picked up by him in the previous round.Q. If Abhishek had picked up 121 marbles in the last five rounds then the average number of marbles he could have picked up in all rounds put together can be at most: (Round off any fraction to the next higher integer.) Correct answer is '53'. Can you explain this answer?

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Abhishek was playing an interesting timed game in which he was supposed to pick up the marbles scattered on the floor in exactly 5 minutes from the time the buzzer went off. During each of his 25 attempts, he tried to pick up the maximum number of marbles lying on the floor. However, after a certain number of attempts, he forgot the count of marbles he had picked up in each of the previous rounds. The only figure he could remember now was that he had picked up a total of 337 marbles in the first 5 rounds. Further, he never picked up the same number of marbles in any of the rounds and always picked a number of marbles less than the number of marbles picked up by him in the previous round.Q. If in two of the rounds he had picked up 100 or more marbles, the least number of marbles he could have picked up in any of the rounds can be at most:Correct answer is '24'. 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 Abhishek was playing an interesting timed game in which he was supposed to pick up the marbles scattered on the floor in exactly 5 minutes from the time the buzzer went off. During each of his 25 attempts, he tried to pick up the maximum number of marbles lying on the floor. However, after a certain number of attempts, he forgot the count of marbles he had picked up in each of the previous rounds. The only figure he could remember now was that he had picked up a total of 337 marbles in the first 5 rounds. Further, he never picked up the same number of marbles in any of the rounds and always picked a number of marbles less than the number of marbles picked up by him in the previous round.Q. If in two of the rounds he had picked up 100 or more marbles, the least number of marbles he could have picked up in any of the rounds can be at most:Correct answer is '24'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Abhishek was playing an interesting timed game in which he was supposed to pick up the marbles scattered on the floor in exactly 5 minutes from the time the buzzer went off. During each of his 25 attempts, he tried to pick up the maximum number of marbles lying on the floor. However, after a certain number of attempts, he forgot the count of marbles he had picked up in each of the previous rounds. The only figure he could remember now was that he had picked up a total of 337 marbles in the first 5 rounds. Further, he never picked up the same number of marbles in any of the rounds and always picked a number of marbles less than the number of marbles picked up by him in the previous round.Q. If in two of the rounds he had picked up 100 or more marbles, the least number of marbles he could have picked up in any of the rounds can be at most:Correct answer is '24'. Can you explain this answer?.

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