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In the figure, lines l, m, and n intersect at O. Which one of the foll
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09 Oct 2018, 22:25
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72% (02:17) correct 28% (02:51) wrong based on 66 sessions
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In the figure, lines l, m, and n intersect at O. Which one of the foll
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Updated on: 16 Oct 2018, 03:40
Bunuel wrote: In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ? A. \(a < \frac{5}{8}\) B. \(a = \frac{5}{7}\) C. \(a = \frac{5}{6}\) D. \(a = 1\) E. \(a > 1\) ay = x also, x+10 = y i.e. x = y10 i.e. ay = y10 Also, ay + (x+10) = 180120 = 60 i.e. x+x+10 = 60 i.e. x = 25 i.e. 25+10 = y i.e. y = 35 now, ay = x i.e. a*35 = 25 i.e. a = 5/7 Answer: Option B
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Originally posted by GMATinsight on 10 Oct 2018, 01:11.
Last edited by GMATinsight on 16 Oct 2018, 03:40, edited 1 time in total.



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Re: In the figure, lines l, m, and n intersect at O. Which one of the foll
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15 Oct 2018, 09:55
GMATinsight wrote: Bunuel wrote: In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ? A. \(a < \frac{5}{8}\) B. \(a = \frac{5}{7}\) C. \(a = \frac{5}{6}\) D. \(a = 1\) E. \(a > 1\) ay = x also, x+10 = y i.e. ay = y i.e. y(a1)=0 i.e. either y = 0 or a = 1 i.e. a = 1 because y ≠0 Answer: Option D Hi GMATinsight, How did you get ay=y in the third line ?
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Re: In the figure, lines l, m, and n intersect at O. Which one of the foll
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15 Oct 2018, 12:35
GMATinsight wrote: ay = x
also, x+10 = y
i.e. ay = y
i.e. y(a1)=0
i.e. either y = 0 or a = 1
i.e. a = 1 because y ≠0
Answer: Option D
Not sure I agree with this one. From the diagram: (1) y = x + 10 (2) ay = x (3) x + 10 + ay + 240 + x + y = 360 Tidying up 3 a little: x + ay + x + y = 110 substitute in (1) and (2) we can eliminate a and y from the equation: x + x + x + x + 10 = 110 4 x = 100 > x=25 > y = 35 From (2), a = x/y = 25/35 = 5/7 > ANSWER B



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Re: In the figure, lines l, m, and n intersect at O. Which one of the foll
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16 Oct 2018, 03:56
stne wrote: GMATinsight wrote: Bunuel wrote: In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ? A. \(a < \frac{5}{8}\) B. \(a = \frac{5}{7}\) C. \(a = \frac{5}{6}\) D. \(a = 1\) E. \(a > 1\) ay = x also, x+10 = y i.e. ay = y i.e. y(a1)=0 i.e. either y = 0 or a = 1 i.e. a = 1 because y ≠0 Answer: Option D Hi GMATinsight, How did you get ay=y in the third line ? stneI made some typo error followed by calculation error. Please check edited my solution above again. I regret the inconvenience caused by my error.
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Re: In the figure, lines l, m, and n intersect at O. Which one of the foll
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16 Oct 2018, 23:11
In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ? A. a<58a<58 B. a=57a=57 C. a=56a=56 D. a=1a=1 E. a>1 SOLN: ay=x a=x/y ( to be answered) (1) x+10=y x=y10(2) we know y+ay+120=180 y+y10+120=180 2y=70 y=35 substitute in (2) x= 25 therefore as per (1) a = 25/35= 5/7 ( B)
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Re: In the figure, lines l, m, and n intersect at O. Which one of the foll
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16 Oct 2018, 23:11






