Statement 1: k = j + 1 It means j and k are consecutive positive integers.
All pairs of consecutive positive integers have greatest common factor as 1.So,
Statement 1 is sufficient!Statement 2: jk is divisible by 5Let us take an example of jk=50 which is divisible by 5.
j and k can be 2 and 25 respectively. Here we have the greatest common factor as 1.
But if j and k are 5 and 10 respectively then we will have the greatest common factor as 5.
Hence,
Statement 2 is insufficient.Answer will be A.
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P.S. Don't forget to give Kudos
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P.S. Don't forget to give Kudos
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68% (00:35) correct 
