IPMAT Indore 2019 (SA) PYQs

If a three-digit number is chosen at random, what is the probability that it is divisible neither by 3 nor by 4?

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

Which of the following numbers is divisible by $3^{10} + 2$?