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Which of the following lines in the xyplane does not contai [#permalink]
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07 Feb 2014, 04:47
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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, 04:47



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Re: Which of the following lines in the xyplane does not contai [#permalink]
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07 Feb 2014, 10:48
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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, 11:52
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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, 21:01
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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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Re: Which of the following lines in the xyplane does not contai [#permalink]
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Re: Which of the following lines in the xyplane does not contai [#permalink]
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15 Jun 2017, 15:22
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, 08:48
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, 14:22
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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