Does set S contain any even numbers ?

Question

(1) There are no prime numbers in S.
(2) There are no multiples of 4 in S.

prasannar · Answer

Answer should be C

If N and S contain any even numbers ?

1. There are no prime numbers in S.
2. There are no multiples of 4 in S.

From Stmt 2 -> S should be {1,2,3}
From Stmt 1-> S will be {1} (take out the primes 2,3)

Thus both the statements are required

pmenon · Answer

neither statement tells us anything about N though ...

walker · Answer

Yeah...Looks like E

GMAT TIGER · Answer

Seems the question is incomplet. "If N and S contain any even numbers?" doesnot make any sense.

pls post the complete and correct question.

GMATBLACKBELT · Answer

I agree.

S1: I was thinkin ok S could be 0 or 1. If it has no prime numbers (I was thinking prime factors).

S2: This doesnt tell us anything

Together still nothing about N. I find the statements a bit odd for S as well when combining them. So Ima vote for none of the above

GMAT TIGER · Answer

Updated: make sense now and it should be E.

1: S could be 1, 4, 6 or 9 etc.
2: S could be 2, 6 or any odd.

1&2: S could be 6 or any non-prime odd.

Assuming S only contains intergers.

jackychamp · Answer

Does set S contain any even numbers ?

1. There are no prime numbers in S.
2. There are no multiples of 4 in S.

S can have (9,15) both are not prime and not multiples of 4 Hence no even numbers
S can have (6,9,15) not prime and not multiples of 4. But has 6 as a even number.

E...

-Jack

jimmyjamesdonkey · Answer

Vote E.

Statement 1: Tells us the set cannot contain 1,2,3,5,7,11,13,17...Tells us nothing about containing a even, other than 2. The set could contain 6.

Statement 2: Tells us the set cannot have multiples of 4. So 4,8,12,etc.. But the set could contain 6 or 10.

Together we learn nothing more.

fozzzy · Answer

Whats the OA and how do solve this question?

Bunuel · Answer

OA is E (several solutions are provided above).

Does set S contain any even numbers ?

(1) There are no prime numbers in S.
(2) There are no multiples of 4 in S.

When combining the statements the set could be for example, {6, 10} (answer YES) or {9, 15} (answer NO).

Answer: E.

surya167 · Answer

No prime numbers in S.. That means.. S has numbers like 3,4,5,6,7...

No multiples of 4.. so S has numbers like.. 6,10...

Now, even if you combine both, you cant really get to any conclusion.. ! Hence E

Bunuel · Answer

3, 5, and 7 are primes.

anairamitch1804 · Answer

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.

Kimberly77 · Answer

Hi  anairamitch1804  thanks for your great explanation.
How do I avoid chossing D mistankly as question state "any" even and not only even numbers in this type of question? 
Any tips or advice will be appreciated? Thanks

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

Does set S contain any even numbers ?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards