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Which of the following lines in the xyplane does not contai [#permalink]
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07 Feb 2014, 05:47
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The Official Guide For GMAT® Quantitative Review, 2ND EditionWhich of the following lines in the xyplane does not contain any point with integers as both coordinates? (A) y = x (B) y = x + 1/2 (C) y = x + 5 (D) y = x*1/2 (E) y = x/2 + 5 Problem Solving Question: 83 Category: Algebra; Arithmetic Substitution; Operations with rationa l numbers Page: 72 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
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Re: Which of the following lines in the xyplane does not contai [#permalink]
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07 Feb 2014, 05:47
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Re: Which of the following lines in the xyplane does not contai [#permalink]
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07 Feb 2014, 11:48
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(B) y = x + 1/2 > for integer values of x, y is not an integer. If x = 1/2, 3/2 etc (nonintegers), y is an integer. x and y cannot both be integers.



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Re: Which of the following lines in the xyplane does not contai [#permalink]
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07 Feb 2014, 12:52
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(A) y = x: Solving for x & y intercepts, we get (0, 0) Integer (B) y = x + 1/2: Solving for x & y intercepts, we get (1/2, 1/2) NonInteger (Correct) (C) y = x + 5: Solving for x & y intercepts, we get (5, 5) Integer (D) y = x*1/2: Solving for x & y intercepts, we get (0, 0) Integer (E) y = x/2 + 5: Solving for x & y intercepts, we get (10, 5) Integer



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Re: Which of the following lines in the xyplane does not contai [#permalink]
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07 Feb 2014, 22:01
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Step 1 Keep X =0 and solve for Y Step 2 Keep Y=0 and Solve for X.. B give non integer i.e x= 1/2 and Y= 1/2
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Re: Which of the following lines in the xyplane does not contai [#permalink]
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08 Feb 2014, 04:49



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Re: Which of the following lines in the xyplane does not contai [#permalink]
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15 Jun 2017, 16:22
Just Plot the line for each option . We will get a clear ans as B . How to plot ? to get y , put x=0 and to get x , put y=o and then join the points to get the line .
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Re: Which of the following lines in the xyplane does not contai [#permalink]
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09 Aug 2017, 09:48
For option D & E; What values to consider for x, y. Is it ok to consider values as 0??



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Re: Which of the following lines in the xyplane does not contai [#permalink]
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14 Aug 2017, 15:22
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionWhich of the following lines in the xyplane does not contain any point with integers as both coordinates? (A) y = x (B) y = x + 1/2 (C) y = x + 5 (D) y = x*1/2 (E) y = x/2 + 5 We see that the point (1,1) is on the line y = x (answer choice A); (1, 6) on y = x + 5 (C); (2, 1) on y = x*1/2 (D); and (2, 6) on y = x/2 + 5 (E). Thus, the only line that won’t have any point with integers as both coordinates is y = x + 1/2 (answer choice B). The reason is simple: if x is an integer, then y can’t be an integer, since the sum of an integer and 1/2 will never be an integer. Similarly, if y is an integer, then x can’t be an integer, since the difference of an integer and 1/2 (notice that x = y  1/2) can never be an integer. Answer: B
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Re: Which of the following lines in the xyplane does not contai [#permalink]
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05 Mar 2018, 07:52
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionWhich of the following lines in the xyplane does not contain any point with integers as both coordinates? (A) y = x (B) y = x + 1/2 (C) y = x + 5 (D) y = x*1/2 (E) y = x/2 + 5 Problem Solving Question: 83 Category: Algebra; Arithmetic Substitution; Operations with rationa l numbers Page: 72 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! can someone explain what the question is asking about? and what is the logic behind solution ? i dont get. i know this formula y = mx + b where m is slope b is yintercept




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