CAT (DILR) PYQs

You ask for the type of item in box 45. Instead of being given a direct answer, you are told that there are 31 items of the same type as box 45 in boxes 1 to 44 and 43 items of the same type as box 45 in boxes 46 to 100.

What is the maximum possible number of different types of items?

Which of the following statements MUST be FALSE?

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?