If the number 556743A57B is divisible by 8 and 9, then find the value of (A - B).
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 0.
Divisibility rule of 8: the last three digits must be divisible by 8
⇒ 57B ÷ 8
⇒ B = 6
Divisibility rule of 9: the sum of the digits must be divisible by 9
Sum of digits: 5 + 5 + 6 + 7 + 4 + 3 + A + 5 + 7 + 6 = 48 + A
⇒ A = 6
⇒ (A - B) = 6 - 6 = 0