Statement 1) on simplification the equation is

4(x+y)/2 = 6

=> 2(x+y) = 6

=> x + y = 3

=> Clearly y should be an integer if x is an integer. Sufficient

Statment 2) (3x + 6y)/3 = 5

=> 3( x + 2y) /3 = 5

=> x + 2y = 5

=> y = (5 - x)/2

if x is even, y would a fraction

if x is odd, y would be an integer. Clearly No Sufficient.

Answer is A

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