Mark has some trading cards. when he sorts them by 2s 3s 4s and 5s, he has 1 left over each time. mark has fewer than 100 cards. how many cards does he have

The answer is 61. i knew it had to be an odd number because 1 was left over when divided by 2. i knew that the last number was 1 because of the 5. then by starting at 20 i went up by 10s to get my answer

or

take 3×4×5 = 60. i dont use the 2 because if divisible by 4 then it is also divisible by 2. then add 1 to get 61.

I am not completly sure, but i belive he has 15 cards but it depands on how many times he does it. Hope you can fugure it out with me help.