List of top Mathematics Questions on Divisibility and Remainder asked in IPU CET

Let \( n \) be a 5-digit number and let \( q \) and \( r \) be the quotient and remainder respectively, when \( n \) is divided by 100. For how many values of \( n \) is \( q + r \) divisible by 11?
For all \( n \in \mathbb{N}, 72n - 48n - 1 \) is divisible by