Which digits should come in place * and $,respectively,

Solution

Rule for Divisibility by 5 - A number is divisible by 5 if it ends in 0 or 5.   - Since the number needs to be divisible by 5, the $ must be 0. Rule for Divisibility by 8 - A number is divisible by 8 if the last three digits form a number that is divisible by 8.   - The last three digits here are 64$. Since $ is 0, it becomes 640.   - Check if 640 is divisible by 8 = [640/8 = 80]   - Since 640 is divisible by 8, the digit * can be 4.   The digits that replace * and $ are 4 and 0.