To determine the values of * and # for the 7-digit number 62684 that it is divisible by both 8 and 5, let's solve step by step:
A number is divisible by 8 if the last three digits form a number that is divisible by 8.
A number is divisible by 5 if its last digit is 0 or 5.
For the number to be divisble by 5 # must be 0 or 5.
Check each option for the last three digits to be divisible by 8:
Option (a) 6268410 - last 3 digits 410, 410/8=51.25 (not divisible)
Option (b) 6268440 -last 3 digits 440
440/8=55 (divisible by 8)
Option (c) 6268450-Last 3 digits:450,
450/8=56.25 (not divisible)
Option (d) 6268405, last 3 digits 405
405/8=50.625 (not divisible)
So correct digits for * and # are 4 an 0 respectively.