Confusing Maths Problems!!?

1.) All you have to do is sit down and think. If you count by 2's and you have 1 left over, that means it HAS to be an odd number because even numbers go into equally. So we narrowed it down to 31, 33, 35, 37, and 39. Now it said that if you count by 3's there are two leftover meaning that the numbers that will be left are 31, 35, and 37 because 3 goes into 33 and 39 equally. Now It said that when they counted by 3's, there were TWO left over. Well if you count by 3's to 31 you will have 1 leftover. If you count by 3's to 37, you will also have 1 leftover. That only leaves us with 35 because when you count by 3's, you will have 2 left over. 35 <--- This is your answer!