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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. What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?
- a)900
- b)800
- c)750
- d)1400
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 5...
It has been given that the total number of notes dispensed is the smallest possible. Therefore, we have to minimize the number of notes dispensed in each of the 2 cases given.
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The least number of notes required to serve a customer who has given 500 rupees as his preference is 10. 50 customers who have given 500 rupee notes as their preference have to be served. We will require 50*10 = 500 notes for this purpose.
Let us consider the case when a customer has given Rs.100 as his preference.
As we have seen, minimum number of notes will be required when we maximize the number of five hundred rupee notes as much as possible.
If Rs.4000 is dispensed using 500 rupee notes, the remaining 1000 rupees can be dispensed using ten 100 rupee notes. In this case, the number of 100 rupee notes (10) is greater than the number of 500 rupee notes (8). This is a valid case. We have to find if we can reduce the number of notes required any further.
We cannot increase the number of 500 rupee notes to 9 since only 5 hundred rupee notes can be dispensed, violating the condition that the customer has given 100 as his preferred denomination.
If we replace two 100 rupee notes with one 200 rupee note, then the number of 100 rupee notes will become 6. The number of 500 rupee notes (8) exceeds the number of 100 rupee note (6). Therefore, dispensing 4000 rupees using 500 rupee notes and the rest using 100 rupee notes represents the optimum condition.
The minimum number of notes required to serve 1 customer = 8 (five hundred notes) + 10 (hundred notes) = 18 Number of five hundred notes required to serve 50 customers = 8*50 = 400 Therefore, the total number of notes required = 400 + 500 = 900.
Therefore, option A is the right answer.
Most Upvoted Answer
An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 5...
Given Data:
- Total number of customers = 50 (preferring 500 rupee notes) + 50 (preferring 100 rupee notes) = 100
- Amount dispensed per customer = Rs. 5000
- Denominations available: 100, 200, 500 rupee notes
Calculation:
- To minimize the total number of notes dispensed, we need to maximize the number of 500 rupee notes as per the condition given.
- Let's assume the number of 500 rupee notes dispensed to each customer is x.
- For customers preferring 500 rupee notes: Total value = 5000 = 500x
- x = 10 (Number of 500 rupee notes dispensed to each customer)
Number of 500 Rupee Notes for 50 Customers:
- For 50 customers preferring 500 rupee notes: Total number of 500 rupee notes = 50 * 10 = 500
Number of 100 Rupee Notes for 50 Customers:
- For customers preferring 100 rupee notes: Total value = 5000 = 100y
- y = 50 (Number of 100 rupee notes dispensed to each customer)
Number of 100 Rupee Notes for 50 Customers:
- For 50 customers preferring 100 rupee notes: Total number of 100 rupee notes = 50 * 50 = 2500
Total Number of 500 Rupee Notes Required:
- Total number of 500 rupee notes required to serve all customers = 500 + 2500 = 900
Therefore, the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, with the smallest possible total number of notes dispensed, is 900.
- Total number of customers = 50 (preferring 500 rupee notes) + 50 (preferring 100 rupee notes) = 100
- Amount dispensed per customer = Rs. 5000
- Denominations available: 100, 200, 500 rupee notes
Calculation:
- To minimize the total number of notes dispensed, we need to maximize the number of 500 rupee notes as per the condition given.
- Let's assume the number of 500 rupee notes dispensed to each customer is x.
- For customers preferring 500 rupee notes: Total value = 5000 = 500x
- x = 10 (Number of 500 rupee notes dispensed to each customer)
Number of 500 Rupee Notes for 50 Customers:
- For 50 customers preferring 500 rupee notes: Total number of 500 rupee notes = 50 * 10 = 500
Number of 100 Rupee Notes for 50 Customers:
- For customers preferring 100 rupee notes: Total value = 5000 = 100y
- y = 50 (Number of 100 rupee notes dispensed to each customer)
Number of 100 Rupee Notes for 50 Customers:
- For 50 customers preferring 100 rupee notes: Total number of 100 rupee notes = 50 * 50 = 2500
Total Number of 500 Rupee Notes Required:
- Total number of 500 rupee notes required to serve all customers = 500 + 2500 = 900
Therefore, the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, with the smallest possible total number of notes dispensed, is 900.
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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. What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct answer is option 'A'. Can you explain this answer?
Question Description
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 number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct 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 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 number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct 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 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 number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct answer is option 'A'. 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. What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct 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 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 number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct 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 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 number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct answer is option 'A'. 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. What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct answer is option 'A'. 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. What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct answer is option 'A'. 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. What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct answer is option 'A'. 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. What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?a) 900b) 800c) 750d) 1400Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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