IPMAT Rohtak 2020 (QA) PYQs

In how many ways can the letters of the word MANAGEMENT be arranged such that no two vowels appear together?

The number of 5-digit numbers consisting of distinct digits that can be formed such that only odd digits occur at odd places is

The number of integers greater than 5000 and divisible by 5 that can be formed with the digits 1, 3, 5, 7, 8, 9 where no digit is repeated is