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# In the circle above with center R, if PR < PQ, which of the following

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In the circle above with center R, if PR < PQ, which of the following  [#permalink]

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14 Nov 2017, 01:18
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70% (01:24) correct 30% (01:17) wrong based on 29 sessions

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In the circle above with center R, if PR < PQ, which of the following is true?

(A) x < y
(B) 60 < y
(C) 60 < x
(D) x = y
(E) x < 2y

Attachment:

2017-11-14_1158.png [ 7.41 KiB | Viewed 541 times ]

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In the circle above with center R, if PR < PQ, which of the following  [#permalink]

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Updated on: 14 Nov 2017, 09:25
2
C

The length of PQ and PR will be equal when angle x=y=60. When PQ is increasing the corresponding opposite angle x will increase. Correspondingly y will decrease.

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Originally posted by Sasindran on 14 Nov 2017, 01:53.
Last edited by Sasindran on 14 Nov 2017, 09:25, edited 1 time in total.
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Re: In the circle above with center R, if PR < PQ, which of the following  [#permalink]

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14 Nov 2017, 02:21
Bunuel wrote:

In the circle above with center R, if PR < PQ, which of the following is true?

(A) x < y
(B) 60 < y
(C) 60 < x
(D) x = y
(E) x < 2y

Attachment:
2017-11-14_1158.png

We already know that PR = QR = Radius of the circle

For PR to be equal to PQ, the angle at the centre must be 60˚ so that PQR becomes an equilateral Triangle with each side equal to radius

and for PR to be smaller than PQ, angle x˚must be greater than 60˚ and angle y˚ must be smaller than 60˚

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Re: In the circle above with center R, if PR < PQ, which of the following  [#permalink]

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14 Nov 2017, 02:23
Sasindran wrote:
B

The length of PQ and PR will be equal when angle x=y=60. When PQ is increasing the corresponding opposite angle x will increase. Correspondingly y will decrease.

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@Sasidran : I think you gave the correct reasoning but marked the wrong option.
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Re: In the circle above with center R, if PR < PQ, which of the following  [#permalink]

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14 Nov 2017, 07:49
GMATinsight wrote:
Sasindran wrote:
B

The length of PQ and PR will be equal when angle x=y=60. When PQ is increasing the corresponding opposite angle x will increase. Correspondingly y will decrease.

Sent from my iPhone using GMAT Club Forum

@Sasidran : I think you gave the correct reasoning but marked the wrong option.

Oops. I always do it as I’m posting from phone. Edited the post. Thank u

Posted from my mobile device
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Re: In the circle above with center R, if PR < PQ, which of the following &nbs [#permalink] 14 Nov 2017, 07:49
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