We can also do in this way.

1) 2k is divisible by 9. Lets take 2k = 9 then k = 4.5. but k must be an integer. so take 2k=18, then k = 9 which is not divisible by 18.

when 2k=36, k = 18 which is divisible by 18.

So statement 1 is not sufficient.

2) 9k is divisible by 2 which means 9k is even

so, k must be even which means k can be.

But 2 is not divisible by 18.

Same time 18 is also even, 18 is divisible by 18. So statement 2 is also not sufficient.

Combining we can say, k must be even and divisible by 9. so obviously as it includes 2, 2 x (multipliers of 9) always will be divided by 18.

Please give Kudos if you like.

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