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# There is one kind of Farreri seated-wheel such that all

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Director
Joined: 14 Sep 2005
Posts: 994
Location: South Korea
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There is one kind of Farreri seated-wheel such that all [#permalink]  26 Nov 2005, 06:39
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24. There is one kind of Farreri seated-wheel such that all seats are numbered from 1 to n inclusive. If one seat number is 3, and before it, there is another opposite seat number 18, then what is the value of n?

A. 26
B. 28
C. 30
D. 32
E. 34

(I do not understand what this question is asking...not at all! I'm totally at a loss here...)
_________________

Auge um Auge, Zahn um Zahn !

Last edited by gamjatang on 30 Nov 2005, 23:28, edited 1 time in total.
SVP
Joined: 24 Sep 2005
Posts: 1891
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Kudos [?]: 142 [0], given: 0

Re: PS - (AG) Farreri seated-wheel [#permalink]  26 Nov 2005, 19:58
gamjatang wrote:
24. There is one kind of Farreri seated-wheel such that all seats are numbered from 1 to n inclusive. If one seat number is 3, and before it, there is another opposite seat number 18, then what is the value of n?

A. 26
B. 28
C. 30
D. 32
E. 34

(I do not understand what this question is asking...not at all! I'm totally at a loss here...)

since the Farreri seated-wheel is a wheel ...the position of any two seats toward e/other is not fixed...it changes according to the rotation of the wheel around its centre ...the case in which seat 18 is in front of seat 3 is that they're two ends of a diameter of the wheel and they're opposite when this diameter is parallel to the horizon . Since they're a diameter, we have 18-3=1/2 n ---> n=30

well, i'm not so sure anyway ....
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Joined: 05 Apr 2005
Posts: 1732
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Re: PS - (AG) Farreri seated-wheel [#permalink]  26 Nov 2005, 22:27
laxieqv wrote:
gamjatang wrote:
24. There is one kind of Farreri seated-wheel such that all seats are numbered from 1 to n inclusive. If one seat number is 3, and before it, there is another opposite seat number 18, then what is the value of n?
A. 26
B. 28
C. 30
D. 32
E. 34
(I do not understand what this question is asking...not at all! I'm totally at a loss here...)

since the Farreri seated-wheel is a wheel ...the position of any two seats toward e/other is not fixed...it changes according to the rotation of the wheel around its centre ...the case in which seat 18 is in front of seat 3 is that they're two ends of a diameter of the wheel and they're opposite when this diameter is parallel to the horizon . Since they're a diameter, we have 18-3=1/2 n ---> n=30
well, i'm not so sure anyway ....

half circle makes = (18-3) seats=15 seats
full circle makes = 15x2=30 seats
Director
Joined: 21 Aug 2005
Posts: 793
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Let x be the number of seats b/w 3 and 18 on either sides (excluding 3 and 18).
n=2x+2
x=(18-3)-1=14
So,
n=28+2
n=30
Director
Joined: 14 Sep 2005
Posts: 994
Location: South Korea
Followers: 2

Kudos [?]: 45 [0], given: 0

Brilliant you guys are!

The OA is 30.

However, I thought this way (which is oviously wrong).

The opposite of 3 is 18.
The opposite of 2 should be 19.
The opposite of 1 should be 20.
(-_-)

I still don't know why the OA is 30.
And I do not understand laxie's / gsr's / himalaya's explanations.

Could somebody draw a picture of that wheel for me, please???
_________________

Auge um Auge, Zahn um Zahn !

SVP
Joined: 24 Sep 2005
Posts: 1891
Followers: 11

Kudos [?]: 142 [0], given: 0

here is the illustration:
Attachments

wheel.doc [23.5 KiB]

SVP
Joined: 05 Apr 2005
Posts: 1732
Followers: 5

Kudos [?]: 38 [0], given: 0

gamjatang wrote:
Brilliant you guys are!

The OA is 30.
However, I thought this way (which is oviously wrong).
The opposite of 3 is 18.
The opposite of 2 should be 19.
The opposite of 1 should be 20.
(-_-)
I still don't know why the OA is 30.
And I do not understand laxie's / gsr's / himalaya's explanations.
Could somebody draw a picture of that wheel for me, please???

laxi did gr8 job. i think the credit goes to laxi and his gf.
SVP
Joined: 24 Sep 2005
Posts: 1891
Followers: 11

Kudos [?]: 142 [0], given: 0

HIMALAYA wrote:
gamjatang wrote:
Brilliant you guys are!

The OA is 30.
However, I thought this way (which is oviously wrong).
The opposite of 3 is 18.
The opposite of 2 should be 19.
The opposite of 1 should be 20.
(-_-)
I still don't know why the OA is 30.
And I do not understand laxie's / gsr's / himalaya's explanations.
Could somebody draw a picture of that wheel for me, please???

laxi did gr8 job. i think the credit goes to laxi and his gf.

hik, are you saying that i and my partner sitting in seat numbers 3 and 18 ...lovefully staring at e/other?!!! ...hey , again, i'm a girl , not a boy!!!
SVP
Joined: 05 Apr 2005
Posts: 1732
Followers: 5

Kudos [?]: 38 [0], given: 0

laxieqv wrote:
HIMALAYA wrote:
gamjatang wrote:
Brilliant you guys are!

The OA is 30.
However, I thought this way (which is oviously wrong).
The opposite of 3 is 18.
The opposite of 2 should be 19.
The opposite of 1 should be 20.
(-_-)
I still don't know why the OA is 30.
And I do not understand laxie's / gsr's / himalaya's explanations.
Could somebody draw a picture of that wheel for me, please???

laxi did gr8 job. i think the credit goes to laxi and his gf.

hik, are you saying that i and my partner sitting in seat numbers 3 and 18 ...lovefully staring at e/other?!!! ...hey , again, i'm a girl , not a boy!!!

yes i know. but donot u know that the one who is sitting in 18 is me?
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