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Five friends Adam, Sukhbir, Hitesh, Navneet and Mushtaq went to a gym on a morning. They spent 24, 25, 28, 32 and 45 minutes in the gym not necessarily in the same order. Not more than two people were present inside the gym at the same time. The below information is known about their visits:
• Adam entered at 6:50 am.
• The person who entered 64 minutes after Hitesh, spent 32 minutes in the gym.
• Sukhbir entered 13 minutes after Mushtaq did and left 30 minutes after Mushtaq had left.
• Adam and Sukhbir spent 10 minutes together in the gym.
• The last person left at 7:30 am.
 
 
Q. What is the difference between the entering times of Hitesh and Mushtaq in minutes?
    Correct answer is '16'. Can you explain this answer?
    Verified Answer
    Five friends Adam, Sukhbir, Hitesh, Navneet and Mushtaq went to a gym ...
    Solution: From the solution to the first question of the set, required difference = 16 minutes.
    Answer: 16
    This question is part of UPSC exam. View all CAT courses
    Most Upvoted Answer
    Five friends Adam, Sukhbir, Hitesh, Navneet and Mushtaq went to a gym ...
    Given Information:
    - Adam entered at 6:50 am.
    - The person who entered 64 minutes after Hitesh, spent 32 minutes in the gym.
    - Sukhbir entered 13 minutes after Mushtaq did and left 30 minutes after Mushtaq had left.
    - Adam and Sukhbir spent 10 minutes together in the gym.
    - The last person left at 7:30 am.

    Analysis:
    - We need to find the difference between the entering times of Hitesh and Mushtaq.
    - Let's assume the entering time of Hitesh as x minutes and Mushtaq as y minutes.

    Step-by-Step Solution:
    1. Adam entered at 6:50 am, which means 50 minutes have already passed since 6:00 am.
    2. The person who entered 64 minutes after Hitesh, spent 32 minutes in the gym. This means that the person who entered 64 minutes after Hitesh must have left before Hitesh. So, the maximum time Hitesh could have spent in the gym is 32 minutes.
    3. Sukhbir entered 13 minutes after Mushtaq did and left 30 minutes after Mushtaq had left. This means that the maximum time Mushtaq could have spent in the gym is 30 minutes.
    4. Adam and Sukhbir spent 10 minutes together in the gym, which means that the time they spent individually in the gym must be less than 10 minutes each.
    5. The last person left at 7:30 am, which means that the total time spent by all the friends in the gym is 40 minutes (7:30 am - 6:50 am = 40 minutes).
    6. Let's analyze the possible timings for each friend:
    - Adam: Entered at 6:50 am and spent 24 minutes in the gym.
    - Sukhbir: Entered after Mushtaq and left 30 minutes after Mushtaq had left. The possible timings for Sukhbir:
    - Entered at 7:03 am and spent 7 minutes in the gym.
    - Entered at 7:04 am and spent 6 minutes in the gym.
    - Entered at 7:05 am and spent 5 minutes in the gym.
    - Hitesh: The person who entered 64 minutes after Hitesh spent 32 minutes in the gym. The possible timings for Hitesh:
    - Entered at 6:57 am and spent 32 minutes in the gym.
    - Entered at 6:58 am and spent 31 minutes in the gym.
    - Entered at 6:59 am and spent 30 minutes in the gym.
    - Mushtaq: Entered before Sukhbir and left 30 minutes before Sukhbir. The possible timings for Mushtaq:
    - Entered at 6:50 am and spent 45 minutes in the gym.
    - Entered at 6:51 am and spent 44 minutes in the gym.
    - Entered at 6:52 am and spent 43 minutes in the gym.
    7. From the above analysis, we can conclude that the entering time of Hitesh is 6:57 am and the entering time of Mushtaq is 6:51 am.
    8. The difference between the entering times
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    Five friends Adam, Sukhbir, Hitesh, Navneet and Mushtaq went to a gym on a morning. They spent 24, 25, 28, 32 and 45 minutes in the gym not necessarily in the same order. Not more than two people were present inside the gym at the same time. The below information is known about their visits:• Adam entered at 6:50 am.• The person who entered 64 minutes after Hitesh, spent 32 minutes in the gym.• Sukhbir entered 13 minutes after Mushtaq did and left 30 minutes after Mushtaq had left.• Adam and Sukhbir spent 10 minutes together in the gym.• The last person left at 7:30 am.Q. What is the difference between the entering times of Hitesh and Mushtaq in minutes?Correct answer is '16'. Can you explain this answer?
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    Five friends Adam, Sukhbir, Hitesh, Navneet and Mushtaq went to a gym on a morning. They spent 24, 25, 28, 32 and 45 minutes in the gym not necessarily in the same order. Not more than two people were present inside the gym at the same time. The below information is known about their visits:• Adam entered at 6:50 am.• The person who entered 64 minutes after Hitesh, spent 32 minutes in the gym.• Sukhbir entered 13 minutes after Mushtaq did and left 30 minutes after Mushtaq had left.• Adam and Sukhbir spent 10 minutes together in the gym.• The last person left at 7:30 am.Q. What is the difference between the entering times of Hitesh and Mushtaq in minutes?Correct answer is '16'. 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 Five friends Adam, Sukhbir, Hitesh, Navneet and Mushtaq went to a gym on a morning. They spent 24, 25, 28, 32 and 45 minutes in the gym not necessarily in the same order. Not more than two people were present inside the gym at the same time. The below information is known about their visits:• Adam entered at 6:50 am.• The person who entered 64 minutes after Hitesh, spent 32 minutes in the gym.• Sukhbir entered 13 minutes after Mushtaq did and left 30 minutes after Mushtaq had left.• Adam and Sukhbir spent 10 minutes together in the gym.• The last person left at 7:30 am.Q. What is the difference between the entering times of Hitesh and Mushtaq in minutes?Correct answer is '16'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Five friends Adam, Sukhbir, Hitesh, Navneet and Mushtaq went to a gym on a morning. They spent 24, 25, 28, 32 and 45 minutes in the gym not necessarily in the same order. Not more than two people were present inside the gym at the same time. The below information is known about their visits:• Adam entered at 6:50 am.• The person who entered 64 minutes after Hitesh, spent 32 minutes in the gym.• Sukhbir entered 13 minutes after Mushtaq did and left 30 minutes after Mushtaq had left.• Adam and Sukhbir spent 10 minutes together in the gym.• The last person left at 7:30 am.Q. What is the difference between the entering times of Hitesh and Mushtaq in minutes?Correct answer is '16'. Can you explain this answer?.
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