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  # If xy is less than 3, is x less than 1 ?
  
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  If xy is less than 3, is x less than 1 ? [#permalink]
  
  ### Show Tags
  
  21 Mar 2008, 23:33
  00:00
  
  Difficulty:
  
  5% (low)
  
  Question Stats:
  
  88% (01:48) correct 12% (01:26) wrong based on 98 sessions
  
  ### HideShow timer Statistics
  
  If xy is less than 3, is x less than 1 ?
  
  (1) y is greater than 3
  (2) x is less than 3
  [Reveal] Spoiler: OA
  
  _________________
  
  Persistence+Patience+Persistence+Patience=G...O...A...L
  
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  Re: DS XY<3 [#permalink]
  
  ### Show Tags
  
  21 Mar 2008, 23:46
  A.
  
  1. y>3, y = 999999
  x <1/999999 -->x<1 sufficient
  
  2. x< 3
  2.1 x =0, x<1 correct
  2.2 x= 2, x>1 not correct
  
  insufficient
  _________________
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  Re: If xy < 3, is x < 1? 1) y > 3 2) x < 3 [#permalink]
  
  ### Show Tags
  
  12 Dec 2013, 18:33
  prasannar wrote:
  If xy < 3, is x < 1?
  
  1) y > 3
  
  2) x < 3
  
  Alright, let me give a shot at this one
  
  Statement 1
  
  y>3
  xy<3
  
  y-xy>0
  y(x-1)>0
  
  As y>3>0, then x-1>0 and x>1
  
  Suff
  
  Statement 2
  
  Insuff
  
  Hence A
  
  Hope it helps
  Cheers!
  J
  Manager
  Affiliations: CrackVerbal
  Joined: 03 Oct 2013
  Posts: 245
  Location: India
  GMAT 1: 780 Q51 V46
  Followers: 48
  
  Kudos [?]: 192 [0], given: 5
  
  Re: If xy < 3, is x < 1? 1) y > 3 2) x < 3 [#permalink]
  
  ### Show Tags
  
  12 Dec 2013, 23:06
  prasannar wrote:
  If xy < 3, is x < 1?
  
  1) y > 3
  
  2) x < 3
  
  Statement I is sufficient:
  
  If y is greater than 3 then x has to be less than 1 for the product to be less than 3. x can be a negative number or a positive fraction.
  
  Statement II is insufficient
  x = 1.5 y = 1.5 ------ NO
  x = 0.5 y = 1.5 ------- YES
  
  Since x can be greater than 1 or less than 1 hence we are not sure.
  
  Pushpinder Gill
  _________________
  
  Are you planning to apply to ISB this MBA season? Attend this workshop on ISB Essay Writing and Learn how you can weave a stunning application to impress MBA adcoms. Register here: http://goo.gl/ICaMbd
  
  Math Expert
  Joined: 02 Sep 2009
  Posts: 34527
  Followers: 6314
  
  Kudos [?]: 80134 [0], given: 10027
  
  Re: If xy is less than 3, is x less than 1 ? [#permalink]
  
  ### Show Tags
  
  13 Dec 2013, 03:17
  prasannar wrote:
  If xy is less than 3, is x less than 1 ?
  
  (1) y is greater than 3
  (2) x is less than 3
  
  Similar question to practice: if-xy-4-is-x-2-1-y-1-2-y-x-129251.html
  _________________
  Re: If xy is less than 3, is x less than 1 ?   [#permalink] 13 Dec 2013, 03:17
  Similar topics Replies Last post
  Similar
  Topics:
  1 Is x^3 less than x ? 7 10 Oct 2013, 17:31
  1 If xy=-18, is x less than y? 5 07 Apr 2013, 01:43
  1 Is x^y less than or equal to y^x? 9 22 Sep 2011, 07:39
  3 Is x less than y? (1) x-y+1<0 (2) x-y-1<0 10 26 Feb 2011, 16:40
  45 If (x/y)>2, is 3x+2y<18? (1) x-y is less than 2 (2) 24 15 Jan 2010, 09:32
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  # If xy is less than 3, is x less than 1 ?
  
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distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Find all School-related info fast with the new School-Specific MBA Forum
  
   It is currently 31 Aug 2016, 23:01
  
  ### 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
  
  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
  
  # Events & Promotions
  
  ###### Events & Promotions in June
  Open Detailed Calendar
  
  # If xy is less than 3, is x less than 1 ?
  
   new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
  Author Message
  TAGS:
  
  ### Hide Tags
  
  Director
  Joined: 05 Jan 2008
  Posts: 701
  Followers: 4
  
  Kudos [?]: 339 [0], given: 0
  
  If xy is less than 3, is x less than 1 ? [#permalink]
  
  ### Show Tags
  
  21 Mar 2008, 23:33
  00:00
  
  Difficulty:
  
  5% (low)
  
  Question Stats:
  
  88% (01:48) correct 12% (01:26) wrong based on 98 sessions
  
  ### HideShow timer Statistics
  
  If xy is less than 3, is x less than 1 ?
  
  (1) y is greater than 3
  (2) x is less than 3
  [Reveal] Spoiler: OA
  
  _________________
  
  Persistence+Patience+Persistence+Patience=G...O...A...L
  
  SVP
  Joined: 04 May 2006
  Posts: 1926
  Schools: CBS, Kellogg
  Followers: 21
  
  Kudos [?]: 872 [0], given: 1
  
  Re: DS XY<3 [#permalink]
  
  ### Show Tags
  
  21 Mar 2008, 23:46
  A.
  
  1. y>3, y = 999999
  x <1/999999 -->x<1 sufficient
  
  2. x< 3
  2.1 x =0, x<1 correct
  2.2 x= 2, x>1 not correct
  
  insufficient
  _________________
  Current Student
  Joined: 06 Sep 2013
  Posts: 2035
  Concentration: Finance
  GMAT 1: 770 Q0 V
  Followers: 54
  
  Kudos [?]: 516 [0], given: 355
  
  Re: If xy < 3, is x < 1? 1) y > 3 2) x < 3 [#permalink]
  
  ### Show Tags
  
  12 Dec 2013, 18:33
  prasannar wrote:
  If xy < 3, is x < 1?
  
  1) y > 3
  
  2) x < 3
  
  Alright, let me give a shot at this one
  
  Statement 1
  
  y>3
  xy<3
  
  y-xy>0
  y(x-1)>0
  
  As y>3>0, then x-1>0 and x>1
  
  Suff
  
  Statement 2
  
  Insuff
  
  Hence A
  
  Hope it helps
  Cheers!
  J
  Manager
  Affiliations: CrackVerbal
  Joined: 03 Oct 2013
  Posts: 245
  Location: India
  GMAT 1: 780 Q51 V46
  Followers: 48
  
  Kudos [?]: 192 [0], given: 5
  
  Re: If xy < 3, is x < 1? 1) y > 3 2) x < 3 [#permalink]
  
  ### Show Tags
  
  12 Dec 2013, 23:06
  prasannar wrote:
  If xy < 3, is x < 1?
  
  1) y > 3
  
  2) x < 3
  
  Statement I is sufficient:
  
  If y is greater than 3 then x has to be less than 1 for the product to be less than 3. x can be a negative number or a positive fraction.
  
  Statement II is insufficient
  x = 1.5 y = 1.5 ------ NO
  x = 0.5 y = 1.5 ------- YES
  
  Since x can be greater than 1 or less than 1 hence we are not sure.
  
  Pushpinder Gill
  _________________
  
  Are you planning to apply to ISB this MBA season? Attend this workshop on ISB Essay Writing and Learn how you can weave a stunning application to impress MBA adcoms. Register here: http://goo.gl/ICaMbd
  
  Math Expert
  Joined: 02 Sep 2009
  Posts: 34527
  Followers: 6314
  
  Kudos [?]: 80134 [0], given: 10027
  
  Re: If xy is less than 3, is x less than 1 ? [#permalink]
  
  ### Show Tags
  
  13 Dec 2013, 03:17
  prasannar wrote:
  If xy is less than 3, is x less than 1 ?
  
  (1) y is greater than 3
  (2) x is less than 3
  
  Similar question to practice: if-xy-4-is-x-2-1-y-1-2-y-x-129251.html
  _________________
  Re: If xy is less than 3, is x less than 1 ?   [#permalink] 13 Dec 2013, 03:17
  Similar topics Replies Last post
  Similar
  Topics:
  1 Is x^3 less than x ? 7 10 Oct 2013, 17:31
  1 If xy=-18, is x less than y? 5 07 Apr 2013, 01:43
  1 Is x^y less than or equal to y^x? 9 22 Sep 2011, 07:39
  3 Is x less than y? (1) x-y+1<0 (2) x-y-1<0 10 26 Feb 2011, 16:40
  45 If (x/y)>2, is 3x+2y<18? (1) x-y is less than 2 (2) 24 15 Jan 2010, 09:32
  Display posts from previous: Sort by
  
  # If xy is less than 3, is x less than 1 ?
  
   new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
  
   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®.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text extract contains a GMAT-related question. It is a Data Sufficiency question from the Quantitative section, specifically testing the understanding of inequalities and algebraic manipulation.
  
  1. **Brief Description of the Document:**
     - The document contains a GMAT Data Sufficiency question.
     - The question asks whether \( x \) is less than 1, given that \( xy \) is less than 3.
     - Two statements are provided:
       - Statement 1: \( y \) is greater than 3.
       - Statement 2: \( x \) is less than 3.
  
  2. **Analysis of the Question:**
     - **Statement 1: \( y > 3 \)**
       - Given \( xy < 3 \) and \( y > 3 \), we can deduce that \( x \) must be less than 1.
       - If \( y \) is greater than 3, then for \( xy \) to be less than 3, \( x \) must be less than \( \frac{3}{y} \).
       - Since \( y > 3 \), \( \frac{3}{y} \) is less than 1. Therefore, \(