If the 9-digit number 97 x 4562y8 is divisible by 88, what is the value of (x2 + y2) for the smallest value of y, given that x and y are natural numbers?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 80
If the 9-digit number 97 x 4562y8 is divisible by 88
The divisibility rule of 8
The last 3 digits of a number are completely divisible by 8 then the whole number is divisible by 8
2y8 is divisible by 8 when the minimum value of y = 4
The divisible by 11 when the difference of odd place value to even place values of a number is completely divisible by 11
(9 + x + 5 + 2 + 8) - (7 + 4 + 6 + 4) = 3 + x
then the value of x = 8
Hence the value of (x2 + y2) = 64 + 16 = 80