IIM-B (BBA-DBE) 2024 #2 (QA) PYQs

The average of any 4 consecutive odd positive integers, where the 1st number is a multiple of 3, must be divisible by which of these?

Placing which of the following two digits at the right end of $4530$ makes the resultant six digit number divisible by $6, 7$ and $9$:

$2^{122} + 4^{62} + 8^{42} + 4^{64} + 2^{130}$ is divisible by which one of the following integers?