Question 57

If the six digit number 4x573y is divisible by 72 then the value of (x + y) is:

Solution

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4x573y will be divisible by 72

to divide that no it should be divided by 9 and 8 both

  1. for divisibility by 8 the last three digit will be divided by 8 the last digit is y so y will be 6
  2. but for divisibility by 9 the sum of all digits divisible by 9
  3. y = 9
  4. Sum of digits = 4 + x + 5 + 7 + 3 + 6 = 25 + x, so x = 2
  5. x+y = 6+2 = 8

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