CAT 2018 Slot 1 — DILR Question 24
Answer the following question based on the information given below.
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.
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?
Answer & solution
- A
750
- B
800
900
- D
1400
In order to have the total number of notes to be dispensed is the smallest possible, notes of denomination Rs. 500 has to be maximum.
The ATM machine could have dispensed 10 notes of 500 rupee to the customers who gave 500 rupee notes as their preference.
Therefore, the number of 500 rupee notes required to serve these 50 customers = 10 × 50 = 500
The ATM machine could have dispensed 10 notes of 100 rupee and 8 notes of 500 rupee to the customers who gave 100 rupee notes as their preference.
Therefore, the number of 500 rupee notes required to serve these 50 customers = 8 × 50 = 400
Total number of 500 rupee notes required = 500 + 400 = 900
Hence, option (c).