Today we went through some old contest problems involving divisibility. They looked similar, but not identical to these:
- What number between 341 and 369 is divisible by both 3 and 5?
- The six-digit number 54A319 is a multiple of 27. What digit is A?
- Name three consecutive numbers, each less than 100, such that the smallest is divisible by 5, the next is divisible by 4, and the last is divisible by 3.
- How many different counting numbers less than 161 are divisible by 4 or 5 or by both?
- Suppose the number ABCDE is made from the digits 1,2,3,4,5. If the number CEA is divisible by 4, and the number EAB is divisible by 5, and the number ABD is divisible by 3, then what is ABCDE?
