Set

[baller12q]

Does set S contain any even numbers?

1) There are no prime numbers in S

2) there are no Multiples of 4 in S


I put D, but can someone explain to me why the anwser is E

[bluementor]

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, 10, 14}, with only even numbers. so insufficient.

Choose E.

-BM-