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Directions for Questions: An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.
(2018)
Q. What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?
  • a)
    13
  • b)
    10
  • c)
    16
  • d)
    12
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions for Questions: An ATM dispenses exactly Rs. 5000 per withdr...
Since there are a limited number of 500 rupee notes, we can minimize the number of 500 rupee notes dispensed to each customer, while ensuring that each customer is served at most 20 notes.
If no 500 rupee notes is dispensed, the minimum number of notes that must be dispensed is 25 (all 200 rupee notes). This is not possible.
If one 500 rupee note is dispensed, the minimum number of notes is 24 (one 500 rupee note, twenty two 200 rupee notes and one 100 rupee note). This is also not possible.
If two 500 rupee notes are dispensed, the minimum number of notes is 22 (two 500 rupee notes and twenty 200 rupee notes).
If three 500 rupee notes are dispensed, the minimum number of notes is 21 (three 500 rupee notes, seventeen 200 rupee notes and one 100 rupee note).
If four 500 rupee notes are dispensed, the minimum number of notes is 19 (four 500 rupee notes and fifteen 200 rupee notes).
Hence, the minimum number of 500 rupee notes that can be dispensed to any person is 4.
With fifty 500 rupee notes, a maximum of 12 persons can be served.
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Most Upvoted Answer
Directions for Questions: An ATM dispenses exactly Rs. 5000 per withdr...
Analysis:
To maximize the number of customers served, we need to consider the scenario where each customer withdraws 20 notes of their preferred denomination. This will allow the ATM to serve the maximum number of customers with the given stock of 500 rupee notes.

Calculation:
Let's assume the number of customers served is x.
Each customer will withdraw 20 notes of their preferred denomination.
If the preferred denomination is 500 rupee notes, then the total number of notes dispensed will be 20.
If the preferred denomination is 200 rupee notes, then the total number of notes dispensed will be 20 + (500/200) = 22.5 (which is not possible)
If the preferred denomination is 100 rupee notes, then the total number of notes dispensed will be 20 + (500/100) = 25
Since the number of notes dispensed for the preferred denomination should exceed the total number of notes of other denominations, the maximum number of customers that can be served is when the preferred denomination is 500 rupee notes.
Therefore, the maximum number of customers that the ATM can serve is 50/20 = 2.5, which is rounded down to 2 customers.

Final Answer:
Therefore, the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal is 2.
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Directions for Questions: An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.(2018)Q.What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?a)13b)10c)16d)12Correct answer is option 'D'. Can you explain this answer?
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Directions for Questions: An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.(2018)Q.What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?a)13b)10c)16d)12Correct 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 Directions for Questions: An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.(2018)Q.What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?a)13b)10c)16d)12Correct 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 Directions for Questions: An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.(2018)Q.What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?a)13b)10c)16d)12Correct answer is option 'D'. Can you explain this answer?.
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