IPMAT Indore 2022 (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

The number of four-digit integers which are greater than 1000 and divisible by both 2 and 3, but not by 5, is

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