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Instructions
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.
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?
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.
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)12
- b)10
- c)13
- d)16
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
InstructionsAn ATM dispenses exactly Rs. 5000 per withdrawal using 100...
It has been given that the customer has to receive 20 notes at the maximum. Also, we have restriction on the number of 500 rupee notes (fifty) but we do not have any restriction on the number of notes of other denominations. Therefore, in order to serve the maximum number of customers, we have to minimize the number of 500 rupee notes dispensed as much as possible.
If no 500 rupee note is dispensed, then a minimum of 25 notes will be required (25 200 rupee notes).
If one 500 rupee note is dispensed, then a minimum of one 100 rupee note and twenty two 200 rupee notes will be required. The total number of notes required = 1 + 1 + 22 = 24. Therefore, we can eliminate this case.
If two 500 rupee notes are dispensed, then a minimum of 20 two hundred rupee notes will be required. We can eliminate this case as well since the number of notes required is greater than 20.
If three 500 rupee notes are dispensed, then a minimum of 1 hundred rupee note and 17 two hundred rupee notes will be required. The number of notes required in this case is 3+1+17 = 21. Therefore, we can eliminate this case as well.
If four 500 rupee notes are dispensed, then a minimum of 15 two hundred rupee notes will be required. Total number of notes required in this case is 4+15 = 19 < 20. Therefore, this is a valid case.
The least number of 500 rupee notes with which we can serve a customer such that the total number of notes dispensed does not exceed 20 is 4. Therefore, a maximum of [50/4] = 12 customers can be served with 50 five hundred rupee notes and hence, option A is the right answer.
If no 500 rupee note is dispensed, then a minimum of 25 notes will be required (25 200 rupee notes).
If one 500 rupee note is dispensed, then a minimum of one 100 rupee note and twenty two 200 rupee notes will be required. The total number of notes required = 1 + 1 + 22 = 24. Therefore, we can eliminate this case.
If two 500 rupee notes are dispensed, then a minimum of 20 two hundred rupee notes will be required. We can eliminate this case as well since the number of notes required is greater than 20.
If three 500 rupee notes are dispensed, then a minimum of 1 hundred rupee note and 17 two hundred rupee notes will be required. The number of notes required in this case is 3+1+17 = 21. Therefore, we can eliminate this case as well.
If four 500 rupee notes are dispensed, then a minimum of 15 two hundred rupee notes will be required. Total number of notes required in this case is 4+15 = 19 < 20. Therefore, this is a valid case.
The least number of 500 rupee notes with which we can serve a customer such that the total number of notes dispensed does not exceed 20 is 4. Therefore, a maximum of [50/4] = 12 customers can be served with 50 five hundred rupee notes and hence, option A is the right answer.
Most Upvoted Answer
InstructionsAn ATM dispenses exactly Rs. 5000 per withdrawal using 100...
Understanding the Problem
The ATM dispenses Rs. 5000 per withdrawal, using 100, 200, and 500 rupee notes. Each customer must choose a preferred denomination, and the number of notes of this preferred denomination must exceed the total number of other notes dispensed.
Available Stock
- The ATM has a stock of 50 notes of Rs. 500.
- There are sufficient notes of Rs. 100 and Rs. 200.
Withdrawal Constraints
- Each customer can withdraw using at most 20 notes.
- The preferred denomination must exceed the total notes of other denominations.
Scenarios for Maximum Customers
1. Using Rs. 500 Notes:
- If a customer prefers Rs. 500 notes, the maximum notes dispensed can be 10 notes (which is Rs. 5000).
- This means there are no other notes, satisfying the condition (10 > 0).
- Customers served = 50/10 = 5 customers.
2. Using Rs. 200 Notes:
- If a customer prefers Rs. 200 notes, they can take 25 notes (which is Rs. 5000).
- However, since there can be a maximum of 20 notes, feasible combinations could be 20 notes of Rs. 200 (Rs. 4000) and 5 notes of Rs. 100 (Rs. 500).
- Total notes: 20 (Rs. 200) + 5 (Rs. 100) = 25, not valid.
3. Using Rs. 100 Notes:
- Similarly, if a customer prefers Rs. 100 notes, they can take 50 notes (which is Rs. 5000), but again, limited to 20 notes.
- The valid combination can be 16 notes (Rs. 100) and 4 notes (Rs. 200).
- Total notes: 16 (Rs. 100) + 4 (Rs. 200) = 20, valid.
Calculating Maximum Customers
- The key point is to maximize the use of Rs. 500 notes, while ensuring the preferred denomination condition is met.
- The optimal way is to serve 10 customers preferring Rs. 100 notes (using 20 notes each).
Conclusion
The maximum number of customers the ATM can serve is 12, as they can efficiently utilize the available Rs. 500 notes while adhering to the withdrawal rules. Thus, the correct answer is option 'A'.
The ATM dispenses Rs. 5000 per withdrawal, using 100, 200, and 500 rupee notes. Each customer must choose a preferred denomination, and the number of notes of this preferred denomination must exceed the total number of other notes dispensed.
Available Stock
- The ATM has a stock of 50 notes of Rs. 500.
- There are sufficient notes of Rs. 100 and Rs. 200.
Withdrawal Constraints
- Each customer can withdraw using at most 20 notes.
- The preferred denomination must exceed the total notes of other denominations.
Scenarios for Maximum Customers
1. Using Rs. 500 Notes:
- If a customer prefers Rs. 500 notes, the maximum notes dispensed can be 10 notes (which is Rs. 5000).
- This means there are no other notes, satisfying the condition (10 > 0).
- Customers served = 50/10 = 5 customers.
2. Using Rs. 200 Notes:
- If a customer prefers Rs. 200 notes, they can take 25 notes (which is Rs. 5000).
- However, since there can be a maximum of 20 notes, feasible combinations could be 20 notes of Rs. 200 (Rs. 4000) and 5 notes of Rs. 100 (Rs. 500).
- Total notes: 20 (Rs. 200) + 5 (Rs. 100) = 25, not valid.
3. Using Rs. 100 Notes:
- Similarly, if a customer prefers Rs. 100 notes, they can take 50 notes (which is Rs. 5000), but again, limited to 20 notes.
- The valid combination can be 16 notes (Rs. 100) and 4 notes (Rs. 200).
- Total notes: 16 (Rs. 100) + 4 (Rs. 200) = 20, valid.
Calculating Maximum Customers
- The key point is to maximize the use of Rs. 500 notes, while ensuring the preferred denomination condition is met.
- The optimal way is to serve 10 customers preferring Rs. 100 notes (using 20 notes each).
Conclusion
The maximum number of customers the ATM can serve is 12, as they can efficiently utilize the available Rs. 500 notes while adhering to the withdrawal rules. Thus, the correct answer is option 'A'.
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InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer?
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InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. 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 InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer?.
InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. 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 InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer?.
Solutions for InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer?, a detailed solution for InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice InstructionsAn 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.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)12b)10c)13d)16Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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