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# The figure shows that l is parallel to m and points A, B, C, D, E are

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 9022
GMAT 1: 760 Q51 V42
GPA: 3.82
The figure shows that l is parallel to m and points A, B, C, D, E are  [#permalink]

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29 Oct 2019, 23:44
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:43) correct 29% (01:51) wrong based on 51 sessions

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[GMAT math practice question]

The figure shows that $$l$$ is parallel to $$m$$ and points $$A, B, C, D, E$$ are on line $$l$$, and points $$F, G, H, I$$ are on the line $$m$$. How many quadrilaterals are possible with $$4$$ points out of the above $$8$$ points?

Attachment:

10.30ps.png [ 15.36 KiB | Viewed 706 times ]

$$A. 48$$

$$B. 56$$

$$C. 60$$

$$D. 72$$

$$E. 108$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Manager Joined: 19 Jan 2019 Posts: 109 Re: The figure shows that l is parallel to m and points A, B, C, D, E are [#permalink] ### Show Tags 30 Oct 2019, 00:09 A quadrilateral has 4 vertices and we have 9 points.. (5+4) Select two from 5(line l) = 5c2 = 10 Select two from 4(line m) = 4c2 = 6 10*6 = 60 C P.s = there are 9 points, not 8*... Posted from my mobile device Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 9022 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The figure shows that l is parallel to m and points A, B, C, D, E are [#permalink] ### Show Tags 03 Nov 2019, 18:25 => To create a quadrilateral, we should choose $$2$$ points out of $$5$$ points on line $$l,$$ and $$2$$ points out of $$4$$ points on the line m and connect them. Then we have 5C2*4C2 = $$[\frac{(5*4)}{(1*2)}][\frac{(4*3)}{(1*2)}] = 10*6 = 60.$$ Therefore, C is the answer. Answer: C _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Joined: 03 Jun 2019
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Re: The figure shows that l is parallel to m and points A, B, C, D, E are  [#permalink]

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31 Mar 2020, 09:19
MathRevolution wrote:
[GMAT math practice question]

The figure shows that $$l$$ is parallel to $$m$$ and points $$A, B, C, D, E$$ are on line $$l$$, and points $$F, G, H, I$$ are on the line $$m$$. How many quadrilaterals are possible with $$4$$ points out of the above $$8$$ points?

Attachment:
10.30ps.png

$$A. 48$$

$$B. 56$$

$$C. 60$$

$$D. 72$$

$$E. 108$$

Quadrilaterals can be formed by choosing 2 points on line l and 2 points on line m

Number of ways = 5C2 * 4C2 = 10 * 6 = 60

IMO C
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Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
Re: The figure shows that l is parallel to m and points A, B, C, D, E are   [#permalink] 31 Mar 2020, 09:19