y is odd, is z odd?

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himu: Master | Next Rank: 500 Posts; Posts: 345; Joined: Sun Dec 21, 2008 10:57 pmFollowed by: 3 members; Thanked: 6 times

by himu » Fri Mar 29, 2013 7:09 am

If y is odd, is z odd?

xyz = odd
yz = x

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Source: Beat The GMAT — Data Sufficiency | Fri Mar 29, 2013 7:09 am

Jim@StratusPrep: MBA Admissions Consultant; Posts: 2279; Joined: Fri Nov 11, 2011 7:51 amFollowed by: 266 members; Location: New York; Thanked: 660 times; GMAT Score:770

by Jim@StratusPrep » Fri Mar 29, 2013 7:25 am

1) The only way the product of 3 numbers can be odd is if all are odd. Z must be odd SUFFICIENT
2) We have no idea if Z or X is odd or even. INSUFFICIENT

A

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Fri Mar 29, 2013 7:50 am

As Jim has stated, the answer is A. However, I should point out that the answer is A only if we first restrict x, y and z to integer values.

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Fri Mar 29, 2013 2:41 pm

himu wrote:If y is odd, is z odd?

xyz = odd
yz = x

If the problem is not restricted to integers:

All of the conditions are satisfied if x=1, y=1, and z=1.
In this case, z is odd.

All of the conditions are satisfied if x=1, y=3, and z=1/3.
In this case, z is not odd.

The correct answer is E.

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ice_rush: Master | Next Rank: 500 Posts; Posts: 341; Joined: Sun Mar 25, 2012 6:59 pmFollowed by: 4 members; Thanked: 17 times; GMAT Score:720

by ice_rush » Sat Mar 30, 2013 11:59 am

I think the answer should be E -- Why are we assuming the numbers are integers? Together the two statements tell us that X is odd - don't know anything about Z.

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himu: Master | Next Rank: 500 Posts; Posts: 345; Joined: Sun Dec 21, 2008 10:57 pmFollowed by: 3 members; Thanked: 6 times

by himu » Sat Mar 30, 2013 9:36 pm

Yes Thanks ice_rush,GMATGuruNY,Brent@GMATPrepNow & Jim@StratusPrep,

The OA is E.

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Jim@StratusPrep: MBA Admissions Consultant; Posts: 2279; Joined: Fri Nov 11, 2011 7:51 amFollowed by: 266 members; Location: New York; Thanked: 660 times; GMAT Score:770

by Jim@StratusPrep » Mon Apr 01, 2013 7:09 am

Yes.... lesson in reading to quickly there.

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