grandh01 wrote:What is the largest common factor of positive integers J & K
1) K=J + 1
2) kj is a multiple of 5
OA IS A
Statement 1: k = j+1
Since k is 1 more than j, j and k are CONSECUTIVE integers.
Consecutive integers are COPRIMES: they share no factors other than 1.
Thus, the greatest common factor of j and k is 1.
SUFFICIENT.
Statement 2: kj is a multiple of 5
If j=1 and k=5, the greatest common factor of j and k is 1.
If j=5 and k=5, the greatest common factor of j and k is 5.
Since the greatest common factor can be different values, INSUFFICIENT.
The correct answer is
A.
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