This set from CAT 2018 question paper is a pretty engaging set that involves around an ATM dispensary. With the given conditions we can easily build the data pattern of the denominations and have it ready with us to answer the questions that would follow. Remember to include puzzle solving to your CAT online Coaching so that you develop a logic sense that is instrumental in solving DILR puzzles. Now see if you are able to smash this CAT previous year paper puzzle so that you can bolster your CAT Exam Preparation. Signup with 2IIM for the Best CAT Online Coaching. Live Classes with 4 time CAT 100%iler.
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.
Question 2 : 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? [TITA]
Wonderful question. Let us first outline the overall variables.
500x + 200y + 100z = 5000. Or, 5x + 2y + z = 50.
If the preferred denomination is 500, we know that x > (y + z).
If the preferred denomination is 200, we know that y > (x + z).
If the preferred denomination is 100, we know that z > (y + x).
After this, we are off to the questions.
From previous question, we have got the following table.
We want to have the maximum number of customers, so each customer would need to take the minimum possible number of RS. 500 notes.
We already know that the minimum number of Rs. 500 notes that a customer (with a preference for Rs. 500 notes) can take is 8.
So, we can have deliver to a maximum of 6 customers. We do not have enough Rs. 500 notes for the 7th customer.
Answer = 6.
The question is "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? [TITA]"
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