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

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Math Expert
Joined: 02 Sep 2009
Posts: 49985
Is angle BAC a right angle? (1) x = 2y (2) y = 1.5z  [#permalink]

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29 Oct 2017, 01:58
1
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:13) correct 17% (01:47) wrong based on 42 sessions

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Is angle BAC a right angle?

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

Attachment:

2017-10-29_1257.png [ 6.04 KiB | Viewed 658 times ]

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Joined: 15 Aug 2016
Posts: 84
Re: Is angle BAC a right angle? (1) x = 2y (2) y = 1.5z  [#permalink]

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29 Oct 2017, 04:11
1
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.

Ans.C
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Joined: 18 Aug 2016
Posts: 628
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
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Re: Is angle BAC a right angle? (1) x = 2y (2) y = 1.5z  [#permalink]

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29 Oct 2017, 21:45
Bunuel wrote:

Is angle BAC a right angle?

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

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