How many three digit octal numbers end with 3?
D
Correct answer
Explanation
Three-digit octal numbers range from 100₈ to 777₈. Numbers ending with digit 3 in octal have the form XY3₈ where the hundreds digit X can be 1-7 (7 choices, cannot be 0 for a three-digit number) and the middle digit Y can be 0-7 (8 choices). Total = 7 × 8 = 56 such numbers.