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Question

Accepted Answer

Step 1: For a number to be divisible by 5, its last digit must be 0 or 5. Here, the last digit is $, so $ can be 0 or 5.

Step 2: For a number to be divisible by 8, its last three digits must be divisible by 8. The last three digits are *$ (i.e., the digits at positions * and $). So, we need to check which combination of * and $ (where $ is 0 or 5) makes the number divisible by 8.

Let's try $ = 0 first:
Last three digits: * 0
So, the last three digits are 4*0, where * is the digit to be found.
But actually, the last three digits are 4*$ (since the number is 72864*$).
So, the last three digits are 4*0 (since $ = 0).

Let's try * = 4:
Last three digits: 4 4 0 = 440
440 ÷ 8 = 55
So, 440 is divisible by 8.

Therefore, * = 4 and $ = 0 is a valid solution.

Let's check other options:
If $ = 5, last digit is 5. But 72864*5 cannot be divisible by 8, because the last three digits (4*5) will never be divisible by 8 (since any number ending in 5 is not divisible by 8).

Hence, the correct answer is: 4 and 0.

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