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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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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, 00:38
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Difficulty:

35% (medium)

Question Stats:

77% (01:39) correct 23% (02:39) wrong based on 13 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

Attachment:

2019-04-10_1136.png [ 44 KiB | Viewed 171 times ]

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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, 02:51
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
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In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r in Figure   [#permalink] 10 Apr 2019, 02:51
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