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# In the circle with center O, if 0 < x < 40, what are all possible valu

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Math Expert
Joined: 02 Sep 2009
Posts: 42559

Kudos [?]: 135309 [0], given: 12686

In the circle with center O, if 0 < x < 40, what are all possible valu [#permalink]

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21 Nov 2017, 23:25
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Question Stats:

27% (00:46) correct 73% (00:46) wrong based on 9 sessions

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In the circle with center O, if 0 < x < 40, what are all possible values of y?

(A) 40 < y < 60
(B) 50 < y < 70
(C) 60 < y < 90
(D) 70 < y < 90
(E) y > 70

[Reveal] Spoiler:
Attachment:

2017-11-22_1022.png [ 9.02 KiB | Viewed 117 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135309 [0], given: 12686

Director
Joined: 18 Aug 2016
Posts: 597

Kudos [?]: 178 [0], given: 136

GMAT 1: 630 Q47 V29
Re: In the circle with center O, if 0 < x < 40, what are all possible valu [#permalink]

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21 Nov 2017, 23:29
Bunuel wrote:

In the circle with center O, if 0 < x < 40, what are all possible values of y?

(A) 40 < y < 60
(B) 50 < y < 70
(C) 60 < y < 90
(D) 70 < y < 90
(E) y > 70

[Reveal] Spoiler:
Attachment:
2017-11-22_1022.png

In triangle POQ, angle OPQ = angle OQP = y

if x = 40 then y = (180-40) /2 = 70
if x = 0 then y = (180-0) /2 = 90

Hence D
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Kudos [?]: 178 [0], given: 136

Re: In the circle with center O, if 0 < x < 40, what are all possible valu   [#permalink] 21 Nov 2017, 23:29
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