Question 43

If 937x8y7 is exactly divisible by 11, then the maximum value of x + y is:

Solution

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As per divisibility rule of 11,

$$9+7+8+7=3+x+y$$

or,$$31=3+x+y$$

or,$$x+y=28$$

but ,x and y are single digit number they can take a maximum value of 9 .

if both the digits are 9 then it can't be divisible.

So,either x or y is equal to 9 or 8.

So, the maximum value of x+y is 17.

D is correct choice.

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