Analyse Question-stem:
This is a YES/NO question.
What do we know about even numbers ... they are all divisible by 2.
Check statements ... which is the easier statement to deal with ? For me Statement 2 is slighly easier, so I will start off with this one, and draw out my BD/ACE answer choice grid:
(2) There are no multiples of 4 in S.
By simply listing numbers we can quickly say that this statement is INSUFF:
no multiples of 4 give us the following numbers: 1, 2, 3, 5, 6, 7, 8 , ... so set S could contain all even numbers, all odd numbers, or a mixture of the two.
So we can cross out BD on our answer choice grid. This leaves us with ACE.
(1) There are no prime numbers in S.
Simply list out the numbers which are not prime: 1, 4, 6, 8 , 9, 10, 12, ... so, again, set S could contain all evens (4, 6, 8 ) or all odds (1, 9) ... so this statement is INSUFF to answer the question.
So we can cross out A from ACE ... this leaves us with answer choices C and E.
(1) and (2) together.
So this gives us the following number list:
1, 6, 9, 10, 15
So set S could contain 1, 9, 15 ... all odd numbers, or set could contain 6 and 10, all even numbers. Again this is INSUFF to answer question.
Cross out C ... this leaves the answer E.