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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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An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 5...
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.
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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.
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An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 5...
Solution:
Given, the 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.
We need to find out the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences.
Let's solve the problem in steps.
Step 1: Find the minimum number of notes that can be dispensed to a customer
To maximize the number of customers who give 500 rupee notes as their preference, we need to minimize the total number of notes dispensed to each customer. This can be achieved by dispensing the highest denomination notes as much as possible.
The minimum number of notes that can be dispensed to a customer is 10. This can be achieved by dispensing 5 notes of 500 rupees and 5 notes of 100 rupees.
Step 2: Find the maximum number of customers who can be served with 50 500 rupee notes
Let's assume that all 10 customers give their preference for 500 rupee notes. In this case, the total number of notes dispensed will be:
Number of 500 rupee notes = 50 (total stock)
Number of 200 rupee notes = 0 (as no customer prefers it)
Number of 100 rupee notes = 50 (5 notes per customer)
Total number of notes = 50 + 50 = 100
So, the maximum number of customers who can be served with 50 500 rupee notes is:
Maximum number of customers = 50/10 = 5
Step 3: Find the maximum number of customers who can give 500 rupee notes as their preference
To maximize the number of customers who give 500 rupee notes as their preference, we need to reduce the number of 500 rupee notes dispensed to each customer.
Let's assume that 6 customers give their preference for 500 rupee notes and 4 customers give their preference for 100 rupee notes. In this case, the total number of notes dispensed will be:
Number of 500 rupee notes = 30 (5 notes per customer)
Number of 200 rupee notes = 0 (as no customer prefers it)
Number of 100 rupee notes = 70 (7 notes per customer)
Total number of notes = 30 + 70 = 100
So, the maximum number of customers who can give 500 rupee notes as their preference is:
Maximum number of customers = 6
Hence, the correct answer is '6'.
Given, the 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.
We need to find out the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences.
Let's solve the problem in steps.
Step 1: Find the minimum number of notes that can be dispensed to a customer
To maximize the number of customers who give 500 rupee notes as their preference, we need to minimize the total number of notes dispensed to each customer. This can be achieved by dispensing the highest denomination notes as much as possible.
The minimum number of notes that can be dispensed to a customer is 10. This can be achieved by dispensing 5 notes of 500 rupees and 5 notes of 100 rupees.
Step 2: Find the maximum number of customers who can be served with 50 500 rupee notes
Let's assume that all 10 customers give their preference for 500 rupee notes. In this case, the total number of notes dispensed will be:
Number of 500 rupee notes = 50 (total stock)
Number of 200 rupee notes = 0 (as no customer prefers it)
Number of 100 rupee notes = 50 (5 notes per customer)
Total number of notes = 50 + 50 = 100
So, the maximum number of customers who can be served with 50 500 rupee notes is:
Maximum number of customers = 50/10 = 5
Step 3: Find the maximum number of customers who can give 500 rupee notes as their preference
To maximize the number of customers who give 500 rupee notes as their preference, we need to reduce the number of 500 rupee notes dispensed to each customer.
Let's assume that 6 customers give their preference for 500 rupee notes and 4 customers give their preference for 100 rupee notes. In this case, the total number of notes dispensed will be:
Number of 500 rupee notes = 30 (5 notes per customer)
Number of 200 rupee notes = 0 (as no customer prefers it)
Number of 100 rupee notes = 70 (7 notes per customer)
Total number of notes = 30 + 70 = 100
So, the maximum number of customers who can give 500 rupee notes as their preference is:
Maximum number of customers = 6
Hence, the correct answer is '6'.
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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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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? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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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?, a detailed solution for 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice CAT tests.
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