Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Management
  • 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 co

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?

Option: 1

6


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

The question asks what is the maximum number of customers among 10 who could have given 500 rupee notes as their preference, if the ATM has a stock of 50 500 rupee notes and a sufficient number of notes of other denominations.

The least number of 500 rupee notes required to serve a customer who has given 500 rupees as the preference is 8. Using 50 500 rupee notes, we can serve 6 customers.

To see this, let's consider the different ways in which the ATM can dispense 500 rupee notes to 6 customers.

  • Case 1: The ATM dispenses 8 500 rupee notes to each of the 6 customers. This is the minimum number of 500 rupee notes that can be dispensed to each customer.
  • Case 2: The ATM dispenses 9 500 rupee notes to 5 of the customers and 7 500 rupee notes to the 6th customer.
  • Case 3: The ATM dispenses 10 500 rupee notes to 4 of the customers and 8 500 rupee notes to the 6th customer.

In all other cases, the ATM will not have enough 500 rupee notes to serve all 6 customers.

Therefore, the maximum number of customers among 10 who could have given 500 rupee notes as their preference is 6.

 

Posted by

seema garhwal

View full answer

Similar Questions

Latest Question