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In the figure above, lines k1 and k2 are parallel to each other, lines
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02 Jun 2015, 06:58
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In the figure above, lines k1 and k2 are parallel to each other, lines l1 and l2 are parallel to each other, and line m passes through the intersection points of k1 with l1 and k2 with l2. What is the value of x? (1) x = 3z – y (2) (y – z)^2 = 225 Attachment:
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In the figure above, lines k1 and k2 are parallel to each other, lines
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Updated on: 04 Jun 2015, 06:54
[quote="Bunuel"] In the figure above, lines k1 and k2 are parallel to each other, lines l1 and l2 are parallel to each other, and line m passes through the intersection points of k1 with l1 and k2 with l2. What is the value of x? (1) x = 3z – y (2) (y – z)^2 = 225 Answer: Option
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Originally posted by GMATinsight on 02 Jun 2015, 07:27.
Last edited by GMATinsight on 04 Jun 2015, 06:54, edited 1 time in total.



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Re: In the figure above, lines k1 and k2 are parallel to each other, lines
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04 Jun 2015, 03:36
I think the answer is C. We can combine the parallel lines and will have X+Y+Z = 180
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Re: In the figure above, lines k1 and k2 are parallel to each other, lines
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04 Jun 2015, 05:39
GMATinsight wrote: Bunuel wrote: In the figure above, lines k1 and k2 are parallel to each other, lines l1 and l2 are parallel to each other, and line m passes through the intersection points of k1 with l1 and k2 with l2. What is the value of x? (1) x = 3z – y (2) (y – z)^2 = 225 Answer: Option Attachment: 20150602_1757.png GMAT Insight, you mentioned (yz)^2 = 225 => yz = 15, I guess this is not correct, it should be y z = 15 or yz = 15 therefore after combining st 1 and st2 ,we will have two answers, So final answer is E.



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Re: In the figure above, lines k1 and k2 are parallel to each other, lines
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04 Jun 2015, 06:56
viksingh15 wrote: GMATinsight wrote: Bunuel wrote: In the figure above, lines k1 and k2 are parallel to each other, lines l1 and l2 are parallel to each other, and line m passes through the intersection points of k1 with l1 and k2 with l2. What is the value of x? (1) x = 3z – y (2) (y – z)^2 = 225 Answer: Option Attachment: 20150602_1757.png GMAT Insight, you mentioned (yz)^2 = 225 => yz = 15, I guess this is not correct, it should be y z = 15 or yz = 15 therefore after combining st 1 and st2 ,we will have two answers, So final answer is E. You are right. Correction Done. Thank you!
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Re: In the figure above, lines k1 and k2 are parallel to each other, lines
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08 Jun 2015, 03:41
Bunuel wrote: In the figure above, lines k1 and k2 are parallel to each other, lines l1 and l2 are parallel to each other, and line m passes through the intersection points of k1 with l1 and k2 with l2. What is the value of x? (1) x = 3z – y (2) (y – z)^2 = 225 Attachment: The attachment 20150602_1757.png is no longer available MANHATTAN GMAT OFFICIAL SOLUTION:Redraw the diagram and label as much as possible. Using the rules about a transversal (line m) intersecting parallel lines (in this case, two sets of parallel lines), we can label at least two more angles y° and z°: We have labeled three angles that form a straight line at the intersection of k1, l1, and m, so x + y + z = 180. Since x = 180 – (y + z), the rephrased question is “What is the value of x or the value of (y + z)?" (1) INSUFFICIENT: Substitute x = 3z – y into x + y + z = 180 and simplify: (3z – y) + y + z = 180 4z = 180 z = 45 This provides neither the value of x nor the value of (y + z). (2) INSUFFICIENT: Simplify the expression. (y – z)^2 = 225 (y – z) = –15 or 15, so y – z = 15. This provides neither the value of x nor the value of (y + z). (1) & (2) INSUFFICIENT: There are two solutions as indicated by the absolute value in (2): y – z = 15: OR y – z = –15: y = 15 + z OR y = –15 + z y = 15 + 45 OR y = –15 + 45 y = 60 OR y = 30 y + z = 60 + 45 = 105 OR y + z = 30 + 45 = 75 The correct answer is E, because even with both statements, we cannot tell whether x = y + z = 75 or 105. Attachment:
20150608_1438.png [ 25.78 KiB  Viewed 3819 times ]
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Re: In the figure above, lines k1 and k2 are parallel to each other, lines
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18 Jul 2019, 09:44
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Re: In the figure above, lines k1 and k2 are parallel to each other, lines
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