• e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep

explain

This topic has 3 expert replies and 2 member replies
src_saurav Master | Next Rank: 500 Posts
Joined
15 Mar 2015
Posted:
145 messages
Followed by:
1 members
Thanked:
2 times

explain

Post Sun May 31, 2015 10:12 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    r s t
    u v w
    x y z


    103. 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

    please help me with the first option.

    My answer was B i could get 3 out of it.

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

    GMAT/MBA Expert

    Brandon@VeritasPrep Junior | Next Rank: 30 Posts Default Avatar
    Joined
    01 Nov 2013
    Posted:
    27 messages
    Followed by:
    5 members
    Thanked:
    12 times
    Post Sun May 31, 2015 10:30 pm
    Statement 1 is also sufficient. If v+z = 6, then both v and z = 3. Because z = 3, w and t each equal either 1 or 2. Because v is 3, s and y each equal either 1 or 2. Therefore we know that s and t each equal either 1 or 2, and therefore that r must equal 3.

    I hope this helps!

    Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!
    cans Legendary Member
    Joined
    04 Apr 2011
    Posted:
    1309 messages
    Followed by:
    122 members
    Thanked:
    310 times
    Test Date:
    13th Oct
    Target GMAT Score:
    750+
    GMAT Score:
    750
    Post Mon Jun 01, 2015 3:05 am
    Statement 1 is sufficient.
    as v+z =6, both v and z have to be 3.
    as each number occurs once in each row and once in each column,
    row2, row3, column2 and column 3 already have 3.
    thus in row 1, only column 1 can have 3 which is r.
    thus r=3.

    _________________
    If my post helped you- let me know by pushing the thanks button Wink

    Contact me about long distance tutoring!
    krazyjenius@gmail.com

    Cans!!

    Post Mon Jun 01, 2015 4:07 am
    src_saurav wrote:
    r s t
    u v w
    x y z


    103. 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
    Statement 1: v+z = 6
    Since v and z must each be 1, 2, or 3, the equation above is valid only if v=3 and z=3, implying the following grid:
    r...s...t
    u...3...w
    x...y...3.

    Since 3 must appear exactly once in every row and column, the grid must look like this:
    3...s...t
    u...3...w
    x...y...3.
    Thus, r=3.
    SUFFICIENT.

    Statement 2: s+t+u+x = 6
    Since each row must be composed of 1, 2 and 3, the sum of each row = 1+2+3 = 6.
    Thus, r+s+t = 6, implying that s+t = 6-r.
    Since each column must be composed of 1, 2 and 3, the sum of each column = 1+2+3 = 6.
    Thus, r+u+x = 6, implying that u+x = 6-r.
    Substituting s+t = 6-r and u+x = 6-r into s+t+u+x = 6, we get:
    (6-r) + (6-r) = 6
    6-2r = 0
    -2r = -6
    r=3.
    SUFFICIENT.

    The correct answer is D.

    _________________
    Mitch Hunt
    GMAT Private Tutor
    GMATGuruNY@gmail.com
    If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
    Available for tutoring in NYC and long-distance.
    For more information, please email me at GMATGuruNY@gmail.com.

    Thanked by: mallika hunsur
    Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.
    Post Mon Jun 01, 2015 7:08 am
    Quote:
    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
    Target question: What is the value of r?

    Statement 1: v+z = 6
    Step 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=3
    Since we can answer the target question with certainty, statement 2 is SUFFICIENT

    Answer = D

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course
    Come see all of our free resources

    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!
    nikhilgmat31 Legendary Member Default Avatar
    Joined
    12 May 2015
    Posted:
    518 messages
    Thanked:
    10 times
    Test Date:
    3 Oct
    Target GMAT Score:
    750
    Post Thu Jun 04, 2015 1:12 am
    I remember solving this question OG 12..
    Good question

    Best Conversation Starters

    1 Vincen 132 topics
    2 lheiannie07 69 topics
    3 LUANDATO 61 topics
    4 Roland2rule 42 topics
    5 ardz24 40 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    134 posts
    2 image description EconomistGMATTutor

    The Economist GMAT Tutor

    117 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    117 posts
    4 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    109 posts
    5 image description DavidG@VeritasPrep

    Veritas Prep

    76 posts
    See More Top Beat The GMAT Experts