Impossible Value of k

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The positive integer k is divisible by 11. If is greater than 11, which of the following could NOT be the value of ?

Review: Impossible Value of k


Explanation

In this question, putting words into equations, we have



Because that's what it means for k to be divisible by 11, and





Actually, since we want to know about , we can reformat this last equation as



Turns out we only needed the second fact, not the first. Among the answer choices, which are suggestions for , only one stands out as disallowed, 10, because it's not greater than 11.

The correct answer is (A).


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