Which digit should come in the place of @ and # if the number 6268@# is…

A number is divisible by 5 only when its last digit is 0 or 5, and it is divisible by 8 only when the three-digit number formed by its last three digits is itself divisible by 8. Here both @ and # must be chosen together so the number satisfies both rules at once.

1. The number is 6268@#, so its last digit is # and its last three digits are the three-digit number 8@#.

2. For divisibility by 5, # must be 0 or 5.

3. For divisibility by 8, the three-digit number 8@# must be exactly divisible by 8.

4. Testing each option's (@, #) pair against 8@#: only @ = 4, # = 0 gives 840, and 840 divided by 8 is exactly 105, so this is the only pair where both conditions hold.

Substituting @ = 4 and # = 0 into the full number gives 626840. Dividing directly confirms 626840 divided by 8 is exactly 78355, and 626840 divided by 5 is exactly 125368, so the number is divisible by both 8 and 5 only for this pair.

Hence @ = 4 and # = 0.