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In the figure above, NS is divided into five equal segments as shown.

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Kudos [?]: 135629 [0], given: 12705

In the figure above, NS is divided into five equal segments as shown. [#permalink]

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New post 27 Nov 2017, 22:31
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89% (00:38) correct 11% (01:13) wrong based on 18 sessions

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Image
In the figure above, NS is divided into five equal segments as shown. A circle, not shown, with center O and radius 1/4 the length of NS will intersect NS between

(A) N and O
(B) O and P
(C) P and Q
(D) Q and R
(E) R and S

[Reveal] Spoiler:
Attachment:
2017-11-28_1023_002.png
2017-11-28_1023_002.png [ 3.75 KiB | Viewed 273 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135629 [0], given: 12705

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Re: In the figure above, NS is divided into five equal segments as shown. [#permalink]

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New post 27 Nov 2017, 23:14
C

1/4 of NS is 1.25. From O 1.25 lies between P and Q.


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Re: In the figure above, NS is divided into five equal segments as shown. [#permalink]

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New post 29 Nov 2017, 07:28
Bunuel wrote:
Image
In the figure above, NS is divided into five equal segments as shown. A circle, not shown, with center O and radius 1/4 the length of NS will intersect NS between

(A) N and O
(B) O and P
(C) P and Q
(D) Q and R
(E) R and S

[Reveal] Spoiler:
Attachment:
2017-11-28_1023_002.png


Lets assume NS=20 then each part will be equal to 4. and radius of circle is 1/4*20=5 then clearly circle will intersect NS between P & Q .

Answer will be C

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Re: In the figure above, NS is divided into five equal segments as shown. [#permalink]

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New post 29 Nov 2017, 17:17
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This post received
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Expert's post
Bunuel wrote:
Image
In the figure above, NS is divided into five equal segments as shown. A circle, not shown, with center O and radius 1/4 the length of NS will intersect NS between

(A) N and O
(B) O and P
(C) P and Q
(D) Q and R
(E) R and S

[Reveal] Spoiler:
Attachment:
2017-11-28_1023_002.png


We can let each segment be 1 unit and point O be designated as the number 0. Thus, N = -1 and S = 4. So NS = 5, and the radius = 1/4 x 5 = 5/4 = 1.25. We see that P = 1 and Q = 2; thus, the circle will intersect somewhere between P and Q since its radius is 1.25 units long.

Answer: C
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Kudos [?]: 1018 [1], given: 3

Re: In the figure above, NS is divided into five equal segments as shown.   [#permalink] 29 Nov 2017, 17:17
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In the figure above, NS is divided into five equal segments as shown.

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