Question 51

If a 10-digit number 46789x531y is divisible by 72, then the value of (2x + 5y), for the largest value of x is:

Solution

46789x531y is divisible by 72 only if it is divisible by all the multiples of 72 i.e 2,4,8,9

To make it divisible by 8, y should be 2, to make the highest possible value of x, x should be 9. Hence 2x + 5y = 18 + 10 =28


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