IPMAT Indore 2025 (MCQ) PYQs

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

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

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