   SEARCH HOME Math Central Quandaries & Queries  Question from Kim, a parent: Can you help me with the following problem: Find the number from the following clues: A) is is a 3 digit even whole # divisible by 5 B} Each digit is different C) Its hundreds digit is greater than its tens digit D) It is less that 400, divisible by 3, and has only 1 odd digit. I know that the last digit is 5. I am confused with c & D as it has to be in t he 200 as there is only 1 odd digit but if the tens digit is greater than the 100's I am lost. Please help Hi Kim,

Since the number is divisible by 5 its units digit must be 5 or 0. Since it is also even its units digit must be divisible by 2. Thus the units digit is 0. Thus the number looks like

pq0

where p is the hundredth digit and q is the tens digit.

Since the number is less than 400 p is 1, 2 or 3.

Can you complete the problem now?
Penny     Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.