Is the integer x divisible by 6?
1) x + 3 is divisible by 3.
2) x + 3 is an odd number
OA C
x divisible by 6?
This topic has expert replies
- Stuart@KaplanGMAT
- GMAT Instructor
- Posts: 3225
- Joined: Tue Jan 08, 2008 2:40 pm
- Location: Toronto
- Thanked: 1710 times
- Followed by:614 members
- GMAT Score:800
Hi there!josh80 wrote:Is the integer x divisible by 6?
1) x + 3 is divisible by 3.
2) x + 3 is an odd number
OA C
Not much to dissect for the q stem: we can rephrase it as "is x a multiple of 6?" No info provided, so we know nothing!
(1) (x+3) is a multiple of 3, which means that x is also a multiple of 3.
if x=3, then x is NOT divisible by 6.
if x=6, then x IS divisible by 6.
Maybe no, maybe yes: insufficient... eliminate A and D.
(2) (x+3) is odd, which means that x is even.
if x=2, then x is NOT divisible by 6.
if x=6, then x IS divisible by 6.
Maybe no, maybe yes: insufficient... eliminate B.
Together: x is an even multiple of 3, i.e. x is a multiple of both 2 and 3.
Well, if x is a multiple of both 2 and 3, then x MUST be a multiple of 6. Sufficient... choose C!
Stuart Kovinsky | Kaplan GMAT Faculty | Toronto
Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course
GMAT/MBA Expert
- Jeff@TargetTestPrep
- GMAT Instructor
- Posts: 1462
- Joined: Thu Apr 09, 2015 9:34 am
- Location: New York, NY
- Thanked: 39 times
- Followed by:22 members
We need to determine whether x/6 = integer.josh80 wrote:Is the integer x divisible by 6?
1) x + 3 is divisible by 3.
2) x + 3 is an odd number
Statement One Alone:
x + 3 is divisible by 3.
Statement one is not sufficient to answer the question. If x = 3, then x is not divisible by 6; however, if x = 6, then x is divisible by 6.
Statement Two Alone:
x + 3 is an odd number.
Statement two is not sufficient to answer the question. If x = 2, then x is not divisible by 6; however, if x = 6, then x is divisible by 6.
Statements One and Two Together:
Using statements one and two, we see that x + 3 is an odd multiple of 3, such as 3, 9, 15, etc. Thus, x must be an even multiple of 3. Since all even multiples of 3 are multiples of 6, x/6 is an integer.
Answer:C
Jeffrey Miller
Head of GMAT Instruction
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews