text: M08 #26 : Retired Discussions [Locked]
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  # M08 #26
  
  Author Message
  Manager
  Status: MBA Aspirant
  Joined: 12 Jun 2010
  Posts: 178
  Location: India
  WE: Information Technology (Investment Banking)
  Followers: 3
  
  Kudos [?]: 79 [0], given: 1
  
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  06 May 2012, 01:31
  If XY is divisible by 4, which of the following must be true?
  
  a) If X is even then Y is odd.
  b) If X =\sqrt{2}then Y is not a positive integer.
  c) If X is 0 then X+Y is not 0.
  d) X^Y is even.
  e) X/Y is not an integer.
  
  According to me all the options are incorrect but if I have to chose I will chose D
  
  I do not agree to the OA as it is given that Y is not a positive integer, so it can be a negative integer and then it will not hold true.
  
  Can anyone explain this.
  Math Expert
  Joined: 02 Sep 2009
  Posts: 36583
  Followers: 7087
  
  Kudos [?]: 93302 [0], given: 10555
  
  ### Show Tags
  
  06 May 2012, 02:00
  subhajeet wrote:
  If XY is divisible by 4, which of the following must be true?
  
  a) If X is even then Y is odd.
  b) If X =\sqrt{2}then Y is not a positive integer.
  c) If X is 0 then X+Y is not 0.
  d) X^Y is even.
  e) X/Y is not an integer.
  
  According to me all the options are incorrect but if I have to chose I will chose D
  
  I do not agree to the OA as it is given that Y is not a positive integer, so it can be a negative integer and then it will not hold true.
  
  Can anyone explain this.
  
  D cannot be correct consider: x=1 and y=4.
  
  As for B. The confusing part is the word "positive":
  If $$x=\sqrt{2}$$, $$y$$ can be positive as well as negative BUT it can not be a positive INTEGER.
  
  $$y$$ must be of a type of $$y=\sqrt{2}*2n$$ where $$n$$ is an integer, not necessarily positive. So $$y$$ can be $$\sqrt{2}*8$$, when $$n=4$$ OR $$-\sqrt{2}*2$$, when $$n=-1$$ OR $$0$$, when $$n=0$$.
  
  As when $$y=\sqrt{2}*2n$$ and $$x=\sqrt{2}$$, $$xy=4n$$ and the condition that it's divisible by $$4$$ holds true for any value of $$n$$.
  
  Th is question is discussed here: if-xy-is-divisible-by-4-which-of-the-following-must-be-true-73389.html
  
  Hope it helps.
  _________________
  Manager
  Status: MBA Aspirant
  Joined: 12 Jun 2010
  Posts: 178
  Location: India
  WE: Information Technology (Investment Banking)
  Followers: 3
  
  Kudos [?]: 79 [0], given: 1
  
  ### Show Tags
  
  07 May 2012, 02:24
  Hi Bunnel - Thanks for the detailed explanation.
  Re: M08 #26   [#permalink] 07 May 2012, 02:24
  Similar topics Replies Last post
  Similar
  Topics:
  16 m08-q26 27 30 May 2009, 18:09
  18 m08, #11 20 06 Nov 2008, 21:41
  20 m08#27 18 02 Nov 2008, 14:48
  4 m08#23 16 02 Nov 2008, 14:43
  8 m08 Q#7 16 01 Aug 2008, 09:56
  Display posts from previous: Sort by
  
  # M08 #26
  
  Moderator: Bunuel
  
   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.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: M08 #26 : Retired Discussions [Locked]
  Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
  
   It is currently 21 Jan 2017, 02:09
  
  ### 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.
  
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  # Events & Promotions
  
  ###### Events & Promotions in June
  Open Detailed Calendar
  
  # M08 #26
  
  Author Message
  Manager
  Status: MBA Aspirant
  Joined: 12 Jun 2010
  Posts: 178
  Location: India
  WE: Information Technology (Investment Banking)
  Followers: 3
  
  Kudos [?]: 79 [0], given: 1
  
  ### Show Tags
  
  06 May 2012, 01:31
  If XY is divisible by 4, which of the following must be true?
  
  a) If X is even then Y is odd.
  b) If X =\sqrt{2}then Y is not a positive integer.
  c) If X is 0 then X+Y is not 0.
  d) X^Y is even.
  e) X/Y is not an integer.
  
  According to me all the options are incorrect but if I have to chose I will chose D
  
  I do not agree to the OA as it is given that Y is not a positive integer, so it can be a negative integer and then it will not hold true.
  
  Can anyone explain this.
  Math Expert
  Joined: 02 Sep 2009
  Posts: 36583
  Followers: 7087
  
  Kudos [?]: 93302 [0], given: 10555
  
  ### Show Tags
  
  06 May 2012, 02:00
  subhajeet wrote:
  If XY is divisible by 4, which of the following must be true?
  
  a) If X is even then Y is odd.
  b) If X =\sqrt{2}then Y is not a positive integer.
  c) If X is 0 then X+Y is not 0.
  d) X^Y is even.
  e) X/Y is not an integer.
  
  According to me all the options are incorrect but if I have to chose I will chose D
  
  I do not agree to the OA as it is given that Y is not a positive integer, so it can be a negative integer and then it will not hold true.
  
  Can anyone explain this.
  
  D cannot be correct consider: x=1 and y=4.
  
  As for B. The confusing part is the word "positive":
  If $$x=\sqrt{2}$$, $$y$$ can be positive as well as negative BUT it can not be a positive INTEGER.
  
  $$y$$ must be of a type of $$y=\sqrt{2}*2n$$ where $$n$$ is an integer, not necessarily positive. So $$y$$ can be $$\sqrt{2}*8$$, when $$n=4$$ OR $$-\sqrt{2}*2$$, when $$n=-1$$ OR $$0$$, when $$n=0$$.
  
  As when $$y=\sqrt{2}*2n$$ and $$x=\sqrt{2}$$, $$xy=4n$$ and the condition that it's divisible by $$4$$ holds true for any value of $$n$$.
  
  Th is question is discussed here: if-xy-is-divisible-by-4-which-of-the-following-must-be-true-73389.html
  
  Hope it helps.
  _________________
  Manager
  Status: MBA Aspirant
  Joined: 12 Jun 2010
  Posts: 178
  Location: India
  WE: Information Technology (Investment Banking)
  Followers: 3
  
  Kudos [?]: 79 [0], given: 1
  
  ### Show Tags
  
  07 May 2012, 02:24
  Hi Bunnel - Thanks for the detailed explanation.
  Re: M08 #26   [#permalink] 07 May 2012, 02:24
  Similar topics Replies Last post
  Similar
  Topics:
  16 m08-q26 27 30 May 2009, 18:09
  18 m08, #11 20 06 Nov 2008, 21:41
  20 m08#27 18 02 Nov 2008, 14:48
  4 m08#23 16 02 Nov 2008, 14:43
  8 m08 Q#7 16 01 Aug 2008, 09:56
  Display posts from previous: Sort by
  
  # M08 #26
  
  Moderator: Bunuel
  
   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 is a discussion from a GMAT forum. The user is seeking clarification on a specific math problem from a GMAT practice test. The problem is about divisibility and involves variables \(X\) and \(Y\). The user is questioning the official answer (OA) and believes that none of the given options are correct, but if they must choose, they would select option D. The user also points out that the problem states \(Y\) is not a positive integer, which they believe affects the validity of the options.
  
  ### Analysis:
  
  1. **Document Description**: The text is a forum post from a user preparing for the GMAT. The user is discussing a specific problem from a GMAT practice test and is seeking clarification on the correct answer.
  2. **Question**: The user is asking for an explanation of the problem and the official answer.
  3. **Options**:
     - **a)** If \(X\) is even then \(Y\) is odd.
     - **b)** If \(X = \sqrt{2}\) then \(Y\) is not a positive integer.
     - **c)** If \(X\) is 0 then \(X + Y\) is not 0.
     - **d)** \(X^Y\) is