Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Oct 2014, 06:11

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

r s t u v w x y z Each of the letters in the table above

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
VP
VP
avatar
Joined: 22 Nov 2007
Posts: 1102
Followers: 6

Kudos [?]: 135 [0], given: 0

r s t u v w x y z Each of the letters in the table above [#permalink] New post 05 Jan 2008, 12:28
r s t
u v w
x y z


Each of the letters in the table above represents one of the numbers 1, 2, or 3, and each of these numbers occurs exactly once in each row and exactly once in each column. What is the value of r?

(1) v + z = 6
(2) s + t + u + x = 6
Expert Post
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3572
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 367

Kudos [?]: 1851 [0], given: 359

GMAT ToolKit User Premium Member
Re: puzzle [#permalink] New post 05 Jan 2008, 12:42
Expert's post
D

1. v + z = 6 --> v=3, z=3 --> s<3, t<3 --> r=3
2. s + t + u + x = 6. if any term were 3 other terms would be 1. But it is impossible, because there are 2 terms in one raw among any 3 terms. r=3
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Director
Director
User avatar
Joined: 12 Jul 2007
Posts: 867
Followers: 12

Kudos [?]: 201 [0], given: 0

Re: puzzle [#permalink] New post 05 Jan 2008, 12:44
1. v+z = 6 so v and z must both be 3. this places a 3 in two columns AND in two rows. r MUST be 3 as well. SUFFICIENT

2. (r+s+t)+(r+u+x) = 12 since each row and column must have (1+2+3).
2r+(s+t+u+x) = 12
2r+6 = 12
2r = 6
r = 3 SUFFICIENT

Answer D

for statement two you could have seen that it's impossible for s, t, u or x to be equal to 3 because the 3 remaining numbers would have to total 3. This is impossible unless all 3 numbers are 1, which is impossible because we can only have one 1 per column and row.

EDIT: aaahhh!!! walker again! you're everywhere and always one step ahead!
Manager
Manager
User avatar
Joined: 04 Jan 2008
Posts: 85
Followers: 1

Kudos [?]: 10 [0], given: 0

Re: puzzle [#permalink] New post 05 Jan 2008, 12:50
Answer is D, ie either one can give the answer.
Look at the rows and columns clearly before reading further.
From S1, v+z=6, so both v=z= 3 ( all are 1, 2 or 3)
only one 3 can be present in any row or column,
eliminate rows and columns containing 3, then we see that only r can take the value of 3,
so, r=3 and s1 is sufficient

From S2, (s+t) + (u+x) = 6, s+t belongs to a row and u+x belongs to a column,
the minimum sum of two numbers in a row/column is 3 (sum 1 +2) (since nos are 1,2 & 3 only)
so, from above given equation we see that s+t=3 and u+x=3
so, the only number in that row/column is r and it should be 3. since we have already taken 1 & 2.
so, r=3 and S2 is sufficient
Re: puzzle   [#permalink] 05 Jan 2008, 12:50
    Similar topics Author Replies Last post
Similar
Topics:
What is probability that u/v/w and x/y/z are reciprocal vr4indian 5 29 Sep 2008, 23:02
3 r s t u v w x y z Each of the letters in the 3x3 matrix bhatiagp 4 08 Feb 2008, 05:14
r s t u v w x y z Each of the letters in the table above suntaurian 4 04 Feb 2008, 22:42
r|s|t u|v|w x|y|z Each of the letters in the table above nakib77 6 11 Nov 2005, 04:31
r s t u v w x y z Reference: The matrix above Each of the mbassmbass04 2 01 Oct 2005, 10:54
Display posts from previous: Sort by

r s t u v w x y z Each of the letters in the table above

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.