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Question 54
If a 10-digit number 75y97405x2 is divisible by 72, then the value of (2x-y), for the greatest value of x, is:
Solution
To make the 75y97405x2 is divisible by 72, it should be divisible by both 8 as well as 9. Since we have to find the greatest number for which it should be divisible by both 8 and 9. For x =9, we have 592 which is divisible by 8, and we need y =6 to make the whole number divisible by 9.
hence 2x -y = 12
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