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# From the two figures above, which of the following can be determined?

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Status: Preparing for the GMAT
Joined: 02 Nov 2016
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Location: Pakistan
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From the two figures above, which of the following can be determined? [#permalink]

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23 May 2017, 12:52
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From the two figures BELOW, which of the following can be determined?
Attachment:

12345FDS.jpg [ 7.54 KiB | Viewed 364 times ]

I. x = 60˚
II. 7s = 180˚
III. 2s < x

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III

Source: Nova GMAT
[Reveal] Spoiler: OA

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Last edited by Bunuel on 23 May 2017, 12:58, edited 1 time in total.
Edited the question.
Director
Joined: 04 Dec 2015
Posts: 696
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
Re: From the two figures above, which of the following can be determined? [#permalink]

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23 May 2017, 14:48
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From the two figures BELOW, which of the following can be determined?
Attachment:
12345FDS.jpg

I. x = 60˚
II. 7s = 180˚
III. 2s < x

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III

Source: Nova GMAT

From figure (i);
s + 2s + 4s = 180
7s = $$180^{\circ}$$ ------ (Option II)

From figure (ii)
x + x + x = 180
3x = 180
x = $$60^{\circ}$$ ----------- (Option I)

7s = $$180^{\circ}$$
s = $$\frac{180}{7}$$
2s = $$\frac{180}{7}$$ x 2 = $$51.428^{\circ}$$ (Which is less than $$60^{\circ}$$)
That is; 2s is less than x. (2s < x)------- (Option III)

All 3 options can be determined.
Senior Manager
Joined: 07 Jul 2012
Posts: 300
Location: India
Concentration: Finance
From the two figures above, which of the following can be determined? [#permalink]

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23 May 2017, 18:25
Figure (1)
Sum of angles of triangle is $$180^{\circ}$$
s+2s+4s=$$180^{\circ}$$
7s= $$180^{\circ}$$
Thus option (II) is determined

7s=180; s=$$\frac{180}{7}$$; 2s=$$\frac{180}{7}$$*2 (which is less than $$60^{\circ}$$)

Figure (2)
x+x+x=180
3x=180
x=$$\frac{180}{3}$$= $$60^{\circ}$$
Thus option (I) is determined

Also 2s<x
Thus option (III) is determined

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From the two figures above, which of the following can be determined?   [#permalink] 23 May 2017, 18:25
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