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Is angle BAC a right angle? (1) x = 2y (2) y = 1.5z

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Is angle BAC a right angle? (1) x = 2y (2) y = 1.5z [#permalink]

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New post 29 Oct 2017, 01:58
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79% (00:55) correct 21% (01:16) wrong based on 33 sessions

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Kudos [?]: 132707 [1], given: 12335

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Re: Is angle BAC a right angle? (1) x = 2y (2) y = 1.5z [#permalink]

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New post 29 Oct 2017, 04:11
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statement 1= Insufficient as y can be 40 which will give x as 80 or 45 which will give x as 90. We can put any value.
Statement 2= Insufficient. Can get infinite values because of it.

Combining
2y+y+2y/3=180
=>y=27
=>x=54.
=>Not a right angled triangle.

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Re: Is angle BAC a right angle? (1) x = 2y (2) y = 1.5z [#permalink]

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New post 29 Oct 2017, 21:45
Bunuel wrote:
Image
Is angle BAC a right angle?

(1) x = 2y
(2) y = 1.5z

[Reveal] Spoiler:
Attachment:
2017-10-29_1257.png


(1) x, y, z can take 90,45,45 or 100, 50, 30..not sufficient

(2) x, y, z can take 105,45,30 or 90, 54, 36..not sufficient

on combining x=2y=3z which can only take 90, 60, 30 as values of x,y,z
sufficient
C
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Kudos [?]: 161 [0], given: 134

Re: Is angle BAC a right angle? (1) x = 2y (2) y = 1.5z   [#permalink] 29 Oct 2017, 21:45
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Is angle BAC a right angle? (1) x = 2y (2) y = 1.5z

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