If the 8-digit number 485x074y is divisible by 72 and the 6-digit number 524678 is divisible by 11, then what is the value of (2x+3y-z)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 18.
Divisibility by 8 (Last three digits form a number divisible by 8)
74y in 485x074y (found y = 4)
Divisibility by 9 (Sum of digits is divisible by 9)
485x074y (used y = 4, found x = 4)
Divisibility by 11 (Alternating sum of digits (from right) is divisible by 11)
5z4678 (found z = 2)
(2x +3y −z) = 2(4) + 3(4) − 2 = 20 − 2 = 18