1. I'm thinking of a particular integer. It is a multiple of 3, 5, and 7. No digit occurs more than once. Can you find my number?
With that information there are a lots of possibilities, so let me narrow the problem down with a few more clues.
a. The digit in the tens place is a square number.
b. The digit in the hundreds place is a cube.
c. The digit in the hundred thousands place is both a square an a cube.
d. Only the digit in the hundreds place is larger than the digit in the units place.