IIM-K (BMSAT) 2025 (QA) PYQs

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

You have been asked to select a positive integer N which is less than 1000, such that it is either a multiple of 4, or a multiple of 6, or an odd multiple of 9. The number of such numbers is

If the five-digit number abcde is divisible by 6, then which of the following numbers is not necessarily divisible by 6?