If a nine-digit number 85345x61y is divisible by 72, then the value of (2x − y) is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8.
The number 85345x61y will be divisible by 8 if 61y is divisible by 8.
⇒ 61y is divisible by 8 if y is 6. (∴ y = 6)
The number 85345x61y would be divisible by 9, if the sum of the digits is divisible by 9.
⇒ sum of digits = 8 + 5 + 3 + 4 + 5 + x + 6 + 1 + 6 = 38 + x
⇒ If x = 7, sum of digits is divisible by 9. (∴ x = 7)
Value of expression 2x - y = (2 × 7) - 6 = 8