Official Guide 12th Ed. DS #82

This topic has expert replies
Source: — Data Sufficiency |

User avatar
Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Fri Jul 31, 2009 9:02 am

by ShadowN » Sat Jul 03, 2010 3:37 pm
The answer is B.


for xy to be a multiple of 105 (prime factorization of 5,3, 7), xy must have at least one 5, one 3 and one 7.

Only statement 2 tells us that y is a multiple of 5, the prime number we are looking for.

Saludos desde Mexico.

User avatar
GMAT Instructor
Posts: 1052
Joined: Fri May 21, 2010 1:30 am
Thanked: 335 times
Followed by:98 members

by Patrick_GMATFix » Sat Jul 03, 2010 10:13 pm
Hi aznmexicana,

The key to this question, as to many DS questions, is accurate rephrasing. We know that xy is a multiple of 6*14, or of 2^2*3*7. We want to know whether xy is a multiple of 105, or of 3*5*7. Since we already know that xy is a multiple of 3*7, the rephrase is: "Is xy a multiple of 5?" Statement (2) gives us enough data to answer but statement (1) doesn't, so the answer is B

Attached is a more detailed solution and take-away strategies. If you cannot see the attachment, get it here

Good luck,
-Patrick
Attachments
OG12 Companion-D082.pdf
(59.23 KiB) Downloaded 126 times
  • Ask me about tutoring.

Junior | Next Rank: 30 Posts
Posts: 12
Joined: Sat Aug 15, 2009 5:10 pm
Thanked: 1 times

by aznmexicana » Wed Jul 07, 2010 9:47 pm
thanks patrick!! that was really helpful!