Oct 22 08:00 AM PDT  09:00 AM PDT Join to learn strategies for tackling the longest, wordiest examples of Counting, Sets, & Series GMAT questions Oct 22 09:00 AM PDT  10:00 AM PDT Watch & learn the Do's and Don’ts for your upcoming interview Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss! Oct 26 07:00 AM PDT  09:00 AM PDT Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to prethink assumptions and solve the most challenging questions in less than 2 minutes. Oct 27 07:00 AM EDT  09:00 AM PDT Exclusive offer! Get 400+ Practice Questions, 25 Video lessons and 6+ Webinars for FREE.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 173

Each of the letters in the table above represents one of the
[#permalink]
Show Tags
07 Dec 2012, 10:08
Question Stats:
66% (01:57) correct 34% (02:02) wrong based on 2125 sessions
HideShow timer Statistics
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 Attachment:
Table.png [ 6.87 KiB  Viewed 33781 times ]
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 58418

Each of the letters in the table above represents one of the
[#permalink]
Show Tags
07 Dec 2012, 10:21
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. Since v and z are 1, 2, or 3, then v=z=3. So, we have 3 in the second and third columns, which mean that neither s nor t can be 3, which means that r must be 3. Sufficient. (2) s + t + u + x = 6. We can have two combinations of the numbers to satisfy s + t + u + x = 6: 1+1+1+3=6 OR 1+1+2+2=6. The first case is not possible since in this case three letters out of s, t, u and x would be 1, which would mean that either in the first row or in the first column we have the same number 1. So, we have 1+1+2+2=6 case, which means that r must be 3 (since no other number in the first column or the first row is 3). Sufficient. Answer: D. Attachment:
Table2.png [ 7.02 KiB  Viewed 33107 times ]
Attachment:
Table1.png [ 6.91 KiB  Viewed 33105 times ]
_________________




Intern
Joined: 14 Oct 2012
Posts: 5

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
11 Jan 2013, 21:05
For the seconds statement, I thought of it like this r + u + x = 6 r + s + t = 6 2r + u + x + s + t = 12 2r+6=12 (Since, s+t+u+x=6) 2r=6 r=3
_________________




Math Expert
Joined: 02 Sep 2009
Posts: 58418

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
18 Jun 2013, 01:40
Bumping for review and further discussion*. Get a kudos point for an alternative solution! *New project from GMAT Club!!! Check HERE
_________________



Director
Joined: 25 Apr 2012
Posts: 660
Location: India
GPA: 3.21
WE: Business Development (Other)

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
18 Jun 2013, 02:34
Walkabout wrote: Attachment: Table.png 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 For St 1, we are given that v+z=6...since possible nos are only 1,2 and 3, we can conclude that v=z=3. Since v and z are in row 2 and row 3 then number 3 in row 1 has to be at position of r > r= 3. Cancelling option B, C and E From st 2, we have s+t+u+x= 6 and 2r+s+u+t+x= 12....solving for r we get r>3 Hence ans should be D
_________________
“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”



Intern
Joined: 11 Dec 2012
Posts: 24

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
17 Dec 2015, 07:55
Answer is D. Please see my solution below:
Attachments
Each of the letters.JPG [ 82.48 KiB  Viewed 22579 times ]



GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4015
Location: Canada

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
05 Aug 2016, 10:43
Walkabout wrote: 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 Target question: What is the value of r?Statement 1: v+z = 6Step 1: If v+z=6, then v and z must both equal 3. Step 2: If each number occurs exactly once in each row and exactly once in each column, then s cannot equal 3 (since s and v are in the same column) and t cannot equal 3 (since t and z are in the same column). Step 3: If s and t cannot equal 3, then r must equal 3 (since each number occurs exactly once in each row) Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2 s+t+u+x = 6: If each number occurs exactly once in each row and exactly once in each column, the sum of numbers in any row or column will always equal 6. So, r+s+t=6, and r+u+x=6 When we combine these two equations, we get (r+s+t)+ (r+u+x)= 6+6 Simplify to get: 2r+(s+t+u+x)=12 Statement 2 tells us that s+t+u+x=6 When we add this to the equation 2r+(s+t+u+x)=12, we get: 2r+(6)=12 When we solve this, we get r=3Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer = Cheers, Brent
_________________
Test confidently with gmatprepnow.com



Manager
Joined: 18 Jun 2016
Posts: 87
Location: India
Concentration: Technology, Entrepreneurship
WE: Business Development (Computer Software)

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
10 Sep 2016, 07:35
Walkabout wrote: 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 1. v+z = 6, which is possible only for 3+3 since there is one 3, in middle and last colomn, the only possible value for r is 3....sufficient 2. s + t + u + x = 6....this is possible for combinations, 1+2 + 1+2 or 2+1 + 1+2 and so on....as each number should occur only once, r has to take value of 3...sufficient so answer is D
_________________
If my post was helpful, feel free to give kudos!



Manager
Joined: 26 Mar 2017
Posts: 106

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
15 Apr 2017, 02:11
m0h1t wrote: For the seconds statement, I thought of it like this
r + u + x = 6 r + s + t = 6
2r + u + x + s + t = 12 2r+6=12 (Since, s+t+u+x=6) 2r=6 r=3 I guess another good way to think about these problems is in terms of max., min., and extreme values. i.e. min. value of s+t = 3 and min. value of u+x = also 3 > and the only way to get 3 from s+t or 3 from u+x is by adding 2+1 therefore r must be 3
_________________
I hate long and complicated explanations!



Manager
Joined: 12 Jun 2016
Posts: 212
Location: India
Concentration: Technology, Leadership
WE: Sales (Telecommunications)

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
06 Aug 2017, 22:20
This is how I approached it  S1: Just thought  if there are two integers which can take value of 1 or 2 or 3 and the their sum is 6, what is the value of each integer?  it took few seconds to realize that both have to be 3. Meaning V = Z = 3. This also means that U and X cannot be 3 (this follows from the stem). This again means R MUST be 3. Suff S2: Here I used Algebra. We have R+S+T = 6 and R+U+X = 6. Adding both you get 2R+S+T+U+X = 12. We can see that the Value in S2 can be substituted to get the value of R. Suff Both statements individually sufficient. Answer is D PS: People who have played Sudoku will find this one easier to tackle
_________________



VP
Joined: 23 Feb 2015
Posts: 1262

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
07 Jul 2019, 03:22
Bunuel wrote: 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?(2) s + t + u + x = 6. We can have two combinations of the numbers to satisfy s + t + u + x = 6: 1+1+1+3=6 OR 1+1+2+2=6. The first case is not possible since in this case three letters out of s, t, u and x would be 1, which would mean that either in the first row or in the first column we have the same number 1. So, we have 1+1+2+2=6 case, which means that r must be 3 (since no other number in the first column or the first row is 3). Sufficient. Answer: D. Attachment: Table2.png Attachment: Table1.png BunuelThanks for your nice explanation. If the statement 2 replaced with \(s+u+w+y=6\), can we still have the correct answer D?
_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”― Henry Wadsworth LongfellowDo you need official questions for Quant?3700 Unique Official GMAT Quant Questions SEARCH FOR ALL TAGSGMAT Club Tests



VP
Joined: 23 Feb 2015
Posts: 1262

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
08 Aug 2019, 02:15
Asad wrote: Bunuel wrote: 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?(2) s + t + u + x = 6. We can have two combinations of the numbers to satisfy s + t + u + x = 6: 1+1+1+3=6 OR 1+1+2+2=6. The first case is not possible since in this case three letters out of s, t, u and x would be 1, which would mean that either in the first row or in the first column we have the same number 1. So, we have 1+1+2+2=6 case, which means that r must be 3 (since no other number in the first column or the first row is 3). Sufficient. Answer: D. Attachment: Table2.png Attachment: Table1.png BunuelThanks for your nice explanation. If statement 2 replaced with \(s+u+w+y=6\), can we still have the correct answer D? Hi BunuelIt seems that you missed my post. May I have your opinion on this question, please? Thanks__
_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”― Henry Wadsworth LongfellowDo you need official questions for Quant?3700 Unique Official GMAT Quant Questions SEARCH FOR ALL TAGSGMAT Club Tests



Manager
Joined: 18 Apr 2019
Posts: 87
Location: India
GPA: 4

Re: Each of the letters in the table above represents one of the
[#permalink]
Show Tags
23 Aug 2019, 01:53
Asad wrote: Asad wrote: Bunuel wrote: 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?(2) s + t + u + x = 6. We can have two combinations of the numbers to satisfy s + t + u + x = 6: 1+1+1+3=6 OR 1+1+2+2=6. The first case is not possible since in this case three letters out of s, t, u and x would be 1, which would mean that either in the first row or in the first column we have the same number 1. So, we have 1+1+2+2=6 case, which means that r must be 3 (since no other number in the first column or the first row is 3). Sufficient. Answer: D. Attachment: Table2.png Attachment: Table1.png BunuelThanks for your nice explanation. If statement 2 replaced with \(s+u+w+y=6\), can we still have the correct answer D? Hi BunuelIt seems that you missed my post. May I have your opinion on this question, please? Thanks__ Hi Asad , YES, you will still have the answer as D. The basic thing is that as s&y are in the same column and u&w in the same row. Hence, they will always be 1 & 2. You can make a box and check. None of them can be 3 bcs then we will have to repeat a 1, which is not allowed.




Re: Each of the letters in the table above represents one of the
[#permalink]
23 Aug 2019, 01:53






