Abhijit K wrote:what is the greatest common factor of positive integers j and k?
1)k = j+1
2)jk is divisible by 5.
Statement 1: k = j+1
In other words, j and k are CONSECUTIVE INTEGERS.
Consecutive integers are COPRIMES: they share NO FACTORS OTHER THAN 1.
Thus, the GCF of j and k is 1.
SUFFICIENT.
Statement 2: jk is divisible by 5
If j=1 and k=5, then the GCF of j and k is 1.
If j=5 and k=5, then the GCF of j and k is 5.
Since the GCF can be different values, INSUFFICIENT.
The correct answer is
A.
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