GMAT Data Sufficiency (DS) | Re: Does set S contain any even numbers ?

Statement 1: No primes in set S

we can have set S = {9, 15, 21..}, with no even numbers.
we can also have set S = {4, 6, 8..} with only even numbers. so insufficient.

Statement 2: no multiples of 4 in S

we can have set S={9, 15, 21..}, with no even numbers.
we can also have set S={6, 10, 14..}, with only even numbers. so insufficient.

Both statements together: no multiples of 4 AND no primes in set S

we can have set S={9, 15, 21..}, with no even numbers.
we can also have set S={6,
...

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