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Q: If the 7 digit number 504x5y3 is divisible by 11, then one of the values of the sum of x and y is:
  • A. 11
  • B. 5
  • C. 17
  • D. 7
Correct Answer: Option C - Given, 504x5y3 Divisibility rule of 11:- If the difference of the sum of digits at even place and at odd place is zero or divisible by 11 then the given number will be divisible by 11. 504x5y3 (0 + x + y) – (5 + 4 + 5 + 3) x + y – 17 = 0 x + y = 17 Hence, Sum of x + y = 17
C. Given, 504x5y3 Divisibility rule of 11:- If the difference of the sum of digits at even place and at odd place is zero or divisible by 11 then the given number will be divisible by 11. 504x5y3 (0 + x + y) – (5 + 4 + 5 + 3) x + y – 17 = 0 x + y = 17 Hence, Sum of x + y = 17

Explanations:

Given, 504x5y3 Divisibility rule of 11:- If the difference of the sum of digits at even place and at odd place is zero or divisible by 11 then the given number will be divisible by 11. 504x5y3 (0 + x + y) – (5 + 4 + 5 + 3) x + y – 17 = 0 x + y = 17 Hence, Sum of x + y = 17