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The positive integer y is less than 20 and the connection between y and 6 is equal to 1:1 .How many possible values of y are there ?
A) 7 B) 8 C) 9 D) 10 E) 11
please provide the explanation .
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No real GMAT question would ever expect you to know what the 'connection' between two numbers means; if that concept appeared in a question, 'connection' would be defined within the question. In any case, the connection of x and y is 1/GCD(x,y). So if the connection between two numbers is 1, their GCD (Greatest Common Divisor) is 1. The question is thus asking us to count how many numbers less than 20 have no divisor (besides 1) in common with 6. There are other ways to do this, but it's easy enough to list them:
1, 5, 7, 11, 13, 17, 19
So the answer is 7.
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