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# In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r in Figure

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Joined: 02 Sep 2009
Posts: 61407
In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r in Figure  [#permalink]

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Updated on: 24 Jul 2019, 04:12
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Difficulty:

25% (medium)

Question Stats:

83% (01:25) correct 17% (02:39) wrong based on 18 sessions

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In Figure 1, $$y = \sqrt{3}*x$$ and z = 2x. What is the ratio p : q : r in Figure 2?

(A) 1 : 2 : 3

(B) $$\sqrt{3} : 1 : 2$$

(C) $$1 : \sqrt{\frac{3}{2}} : 1$$

(D) $$2 : \sqrt{3} : 1$$

(E) 3 : 2 : 1

Source: Nova GMAT
Difficulty Level: 600

Attachment:

2019-04-10_1136.png [ 44 KiB | Viewed 306 times ]

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Originally posted by Bunuel on 09 Apr 2019, 23:38.
Last edited by SajjadAhmad on 24 Jul 2019, 04:12, edited 1 time in total.
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Re: In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r in Figure  [#permalink]

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10 Apr 2019, 01:51
Bunuel wrote:

In Figure 1, $$y = \sqrt{3}*x$$ and z = 2x. What is the ratio p : q : r in Figure 2?

(A) 1 : 2 : 3

(B) $$\sqrt{3} : 1 : 2$$

(C) $$1 : \sqrt{\frac{3}{2}} : 1$$

(D) $$2 : \sqrt{3} : 1$$

(E) 3 : 2 : 1

Attachment:
2019-04-10_1136.png

we get an triplet here
so side 30:60:90 x:√3x:2x
so ratio of sides in p:q:r $$\sqrt{3} : 1 : 2$$

IMO B
Re: In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r in Figure   [#permalink] 10 Apr 2019, 01:51
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