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Slot 1 - Optimization (ATM Withdrawal)
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Problem on ATM withdrawal. CONCEPT: OPTIMIZATION.

## Riya Agarwal is teaching live on Unacademy Plus

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1. DILR ANSWER KEY & SOLUTION SLOT 1 CAT 2018

2. About Me .I hold a B.E degree in Electronics & Communication Engineering. . CAT, 17: DI & LR-98.29 %ile. Follow me on the Unacademy learning app for all conceptual courses and practice papers on DI 8 LR topics for CAT and other B-school entrance exams: https://unacademy.com/user/iriyaagarwal . Not al1 are born Einstein's but trust me with hard work and dedication we can together make it possible.

3. DILR ANSWER KEY & SOLUTION SLOT 1 CAT 2018

4. PROBLEM 2

5. Directions for the Q1-Q4: 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.

6. Answer the following: Q1. In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference? Q2. If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and oa 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? Q3. 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? 1. 12 2. 10 3. 13 4.16 Q4. 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? 1.900 2. 800 3. 750 4. 1400

7. An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her.

8. 500x200x00 Total An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her.

9. 500x200x00 Total 10 An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 10

10. 500x200x00 Total 10 12 An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 10 2

11. An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 500x200x00 Total 10 12 13 10 2 3

12. 500x200x00 Total An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 10 12 13 14 10 2 3

13. 500x200x00 Total An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 10 12 13 14 13 14 10 3 0 4 2

14. 500x200x00 Total An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 10 12 13 14 13 14 15 10 4 3 0 2 4

15. 500x200x00 Total An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 10 12 13 14 13 14 15 18 10 0 2 4 10 4 3

16. Answer the following: Q1. In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference? Q2. If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and oa 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? Q3. 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? 1. 12 2. 10 3. 13 4.16 Q4. 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? 1.900 2. 800 3. 750 4. 1400

17. 500x200x00 Total An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 10 12 13 14 13 14 15 18 15 10 0 2 4 3 10

18. Total 10 12 13 14 13 200x 100x 500x 10 An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 0 2 4 3 15 10 50 500Rs. notes 15

19. Total 10 12 13 14 13 200x 100x 500x 10 An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 0 2 4 3 15 10 50 50ORs. Notes 50/10- 5 customers 15

20. Total 10 12 13 14 13 200x 100x 500x 10 An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 0 2 4 3 15 10 50 50ORs. Notes 50/10- 5 customers 50/9-5 customers 50/8 6 customers 15

21. Total 10 12 13 14 13 200x 100x 500x 10 An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 0 2 4 3 15 10 50 50ORs. Notes 15

22. Total 10 12 13 14 13 200x 100x 500x 10 An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 0 4 2 15 10 50 50ORs. Notes 15 10 16

23. Total 10 12 13 14 13 200x 100x 500x 10 An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 0 4 2 15 10 50 50ORs. Notes 15 16 10 12

24. Total 10 12 13 14 13 200x 100x 500x 10 An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 0 4 2 15 10 50 50ORs. Notes 15 16 10 12 15 0 19 4

25. Answer the following: Q1. In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference? Answer: 7 Q2. If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and oa 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? Answer: 6 Customers Q3. 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? 1. 12 2. 10 3. 13 4. 16 Q4. 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? 1.900 2. 800 3. 750 4. 1400

26. Total 10 12 13 14 13 200x 100x 500x 10 An ATM dispenses exactly Rs. 5000 per withdra wal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her prefe rence for one of the three denominations of notes. It then dispenses notes such that the nu mber of notes of the customer's preferred denomination exceeds the total number of no tes of other denominations dispensed to her. 0 4 2 15 10 15 16 10 12 15 0 19 4

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