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# In the figure shown, is x < 30?

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
In the figure shown, is x < 30?  [#permalink]

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10 Apr 2018, 05:40
1
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:27) correct 39% (01:33) wrong based on 50 sessions

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In the figure shown, is x < 30?

(1) k = 6
(2) x > 15

Attachment:

2018-04-10_1739.png [ 6.08 KiB | Viewed 602 times ]

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: In the figure shown, is x < 30?  [#permalink]

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10 Apr 2018, 07:48
1
Bunuel wrote:

In the figure shown, is x < 30?

(1) k = 6
(2) x > 15

Attachment:
2018-04-10_1739.png

we can see from the figure..
1) kx>90
2) kx<180 as it is one of the angles of a triangle

so 90<kx<180

(1) k = 6
so 90<6*x<180
15<x<30
so yes x<30
sufficient

(2) x > 15
insuff

A
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Location: India
Concentration: General Management, Marketing
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Re: In the figure shown, is x < 30?  [#permalink]

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10 Apr 2018, 08:00
Bunuel wrote:

In the figure shown, is x < 30?

(1) k = 6
(2) x > 15

Attachment:
2018-04-10_1739.png

In a triangle sum of three angles is 180

so each three angles has to be less than 180

From 1: if x=30 and k=6 . Then kx=180
an angle of a triangle cant be 180

so x<30

sufficient

From 2: x>15
kx can 30,90

insufficient
Hence A
Manager
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Posts: 97
Location: India
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Re: In the figure shown, is x < 30?  [#permalink]

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10 Apr 2018, 09:12
1
Bunuel wrote:

In the figure shown, is x < 30?

(1) k = 6
(2) x > 15

Attachment:
2018-04-10_1739.png

(1) kx > 90

Since k = 6, so x < 30 and x can only be equal to 30 if kx = 180 which is not the case.
Sufficient

(2) x > 15, but we know nothing about k.
Not sufficient.

(A)
Re: In the figure shown, is x < 30?   [#permalink] 10 Apr 2018, 09:12
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