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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. If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?
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. If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?
Correct answer is '6'. Can you explain this answer?
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InstructionsAn ATM dispenses exactly Rs. 5000 per withdrawal using 100...
If a customer gives 500 rupee notes as her preferred denomination, the number of 500 rupee notes dispensed must be greater than the number of the notes of other denominations dispensed.
If Rs.3500 is dispensed as 500 rupee notes (7 notes), the remaining 1500 rupees should be dispensed using Rs.100 and Rs.200 notes. The minimum number of notes of other denomination required in this case will be 8 (7*200 + 1*100).
Therefore, at least Rs.4000 should be dispensed as 500 rupee notes.
Case (1): Rs.4000 is dispensed using 500 rupee notes, 8 five hundred rupee notes will be dispensed.
The remaining 1000 rupees cannot be fully dispensed as 100 rupee notes (since 10 notes will be required).
If 800 rupees is dispensed as 100 rupee notes, then 9 notes will be required to dispense 1000 rupees (8*100+200).
Therefore, we can eliminate these 2 cases.
If 600 rupees is dispensed using 100 rupee notes, then a minimum of 8 notes will be required to dispense 1000 rupees (6*100 + 2*200). Therefore, we can eliminate this case as well.
If 400 rupees is dispensed using 100 rupee notes, then 7 notes will be required (4*100+3*200). This is a valid case.
If 200 rupees is dispensed using 100 rupee notes, then 6 notes will be required (2*100+4*200). This is a valid case. 1000 rupees can be dispensed using 5 notes of Rs.200.
Therefore, there are 3 valid cases.
Case (2): Rs.4500 is dispensed using 500 rupee notes. 9 five hundred rupee notes will be dispensed in this case.
The remaining 500 rupees can be dispensed as 100 rupee notes ( 5 notes) or a combination of 100 rupee and 200 rupee notes. 200*a + 100*b = 500 'a' can take 0, 1, and 2.
Therefore, there are 3 valid cases.
Case (3): 5000 rupees is dispensed using 10 five hundred rupee notes.
There is only 1 valid case.
It has been given that the ATM could serve only 10 customers with a stock of fifty 500 rupee notes. We have to find the maximum number of customers who could have given Rs.500 as their preference.
The least number of 500 rupee notes required to serve a customer who has given Rs.500 as the preference is 8. Using 50 five hundred rupee notes, we can serve [500/8] = 6 customers. Therefore, 6 is the correct answer.
If Rs.3500 is dispensed as 500 rupee notes (7 notes), the remaining 1500 rupees should be dispensed using Rs.100 and Rs.200 notes. The minimum number of notes of other denomination required in this case will be 8 (7*200 + 1*100).
Therefore, at least Rs.4000 should be dispensed as 500 rupee notes.
Case (1): Rs.4000 is dispensed using 500 rupee notes, 8 five hundred rupee notes will be dispensed.
The remaining 1000 rupees cannot be fully dispensed as 100 rupee notes (since 10 notes will be required).
If 800 rupees is dispensed as 100 rupee notes, then 9 notes will be required to dispense 1000 rupees (8*100+200).
Therefore, we can eliminate these 2 cases.
If 600 rupees is dispensed using 100 rupee notes, then a minimum of 8 notes will be required to dispense 1000 rupees (6*100 + 2*200). Therefore, we can eliminate this case as well.
If 400 rupees is dispensed using 100 rupee notes, then 7 notes will be required (4*100+3*200). This is a valid case.
If 200 rupees is dispensed using 100 rupee notes, then 6 notes will be required (2*100+4*200). This is a valid case. 1000 rupees can be dispensed using 5 notes of Rs.200.
Therefore, there are 3 valid cases.
Case (2): Rs.4500 is dispensed using 500 rupee notes. 9 five hundred rupee notes will be dispensed in this case.
The remaining 500 rupees can be dispensed as 100 rupee notes ( 5 notes) or a combination of 100 rupee and 200 rupee notes. 200*a + 100*b = 500 'a' can take 0, 1, and 2.
Therefore, there are 3 valid cases.
Case (3): 5000 rupees is dispensed using 10 five hundred rupee notes.
There is only 1 valid case.
It has been given that the ATM could serve only 10 customers with a stock of fifty 500 rupee notes. We have to find the maximum number of customers who could have given Rs.500 as their preference.
The least number of 500 rupee notes required to serve a customer who has given Rs.500 as the preference is 8. Using 50 five hundred rupee notes, we can serve [500/8] = 6 customers. Therefore, 6 is the correct answer.
Most Upvoted Answer
InstructionsAn ATM dispenses exactly Rs. 5000 per withdrawal using 100...
Understanding the Problem
To solve this problem, we need to analyze the constraints given for the ATM's dispensing system. Each customer can prefer one of three denominations: Rs. 100, Rs. 200, or Rs. 500. The total withdrawal amount is Rs. 5000, and the customer's preferred denomination must exceed the total number of other denominations dispensed.
Constraints Overview
- The ATM has a stock of 50 notes of Rs. 500.
- Total customers served: 10.
- Each withdrawal: Rs. 5000.
Analyzing the 500 Rupee Note Preference
1. If a customer prefers Rs. 500 notes:
- To withdraw Rs. 5000, they would receive 10 notes of Rs. 500.
- This means the number of Rs. 500 notes (10) will exceed the total of other notes (which can be zero in this case).
2. Given Stock of Rs. 500 Notes:
- With 50 notes available, a maximum of 5 customers can withdraw using Rs. 500 notes without exhausting the stock, as each requires 10 notes.
Incorporating Other Denominations
3. If more customers prefer Rs. 500:
- To allow for more customers preferring Rs. 500, we can mix in customers preferring Rs. 100 or Rs. 200 notes.
- For instance, a customer preferring Rs. 100 could withdraw using 50 notes (50 Rs. 100 notes), which satisfies the condition.
Maximum Customers with Rs. 500 Preference
4. Optimizing Customer Preferences:
- If 6 customers choose Rs. 500 notes, they would use 60 Rs. 500 notes, which exceeds the available stock (50 notes).
- Therefore, the maximum feasible preference for Rs. 500 notes must be limited.
5. Final Count:
- Conclusion: The maximum number of customers who can prefer Rs. 500 notes while still allowing for others to withdraw is 6 customers (4 using Rs. 100 or Rs. 200 notes).
Final Answer
Thus, the maximum number of customers among these 10 who could have given Rs. 500 notes as their preferences is 6.
To solve this problem, we need to analyze the constraints given for the ATM's dispensing system. Each customer can prefer one of three denominations: Rs. 100, Rs. 200, or Rs. 500. The total withdrawal amount is Rs. 5000, and the customer's preferred denomination must exceed the total number of other denominations dispensed.
Constraints Overview
- The ATM has a stock of 50 notes of Rs. 500.
- Total customers served: 10.
- Each withdrawal: Rs. 5000.
Analyzing the 500 Rupee Note Preference
1. If a customer prefers Rs. 500 notes:
- To withdraw Rs. 5000, they would receive 10 notes of Rs. 500.
- This means the number of Rs. 500 notes (10) will exceed the total of other notes (which can be zero in this case).
2. Given Stock of Rs. 500 Notes:
- With 50 notes available, a maximum of 5 customers can withdraw using Rs. 500 notes without exhausting the stock, as each requires 10 notes.
Incorporating Other Denominations
3. If more customers prefer Rs. 500:
- To allow for more customers preferring Rs. 500, we can mix in customers preferring Rs. 100 or Rs. 200 notes.
- For instance, a customer preferring Rs. 100 could withdraw using 50 notes (50 Rs. 100 notes), which satisfies the condition.
Maximum Customers with Rs. 500 Preference
4. Optimizing Customer Preferences:
- If 6 customers choose Rs. 500 notes, they would use 60 Rs. 500 notes, which exceeds the available stock (50 notes).
- Therefore, the maximum feasible preference for Rs. 500 notes must be limited.
5. Final Count:
- Conclusion: The maximum number of customers who can prefer Rs. 500 notes while still allowing for others to withdraw is 6 customers (4 using Rs. 100 or Rs. 200 notes).
Final Answer
Thus, the maximum number of customers among these 10 who could have given Rs. 500 notes as their preferences is 6.
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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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. 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.If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?Correct answer is '6'. Can you explain this answer? tests, examples and also practice CAT tests.
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