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If p,q, r, s and t are nonzero integers, is p/r = s/t ? 1)

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Manager
Joined: 28 Aug 2008
Posts: 101
If p,q, r, s and t are nonzero integers, is p/r = s/t ? 1) [#permalink]

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12 Sep 2008, 11:31
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If p,q, r, s and t are nonzero integers, is p/r = s/t ?

1) s=3p and t =3r

2) 3p = 2r and 3s = 2t
SVP
Joined: 29 Aug 2007
Posts: 2473
Re: DS - Nonzero Integers [#permalink]

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12 Sep 2008, 11:53
IgnitedMind wrote:
If p,q, r, s and t are nonzero integers, is p/r = s/t ?

1) s=3p and t =3r

2) 3p = 2r and 3s = 2t

1: it is clarly suff.
2: if 3p = 2r
p/r = 2/3

similarly 3s = 2t
s/t = 2/3

p/r = s/t = 2/3 suff.
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SVP
Joined: 07 Nov 2007
Posts: 1800
Location: New York
Re: DS - Nonzero Integers [#permalink]

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12 Sep 2008, 13:25
IgnitedMind wrote:
If p,q, r, s and t are nonzero integers, is p/r = s/t ?

1) s=3p and t =3r

2) 3p = 2r and 3s = 2t

1) s/p=3= t/r
--> p/r=s/t
sufficient
2) sufficient..

D
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VP
Joined: 17 Jun 2008
Posts: 1381
Re: DS - Nonzero Integers [#permalink]

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14 Sep 2008, 03:31
IgnitedMind wrote:
If p,q, r, s and t are nonzero integers, is p/r = s/t ?

1) s=3p and t =3r

2) 3p = 2r and 3s = 2t

IMO D
1) s/t =p/r
2)p/s=r/t

IMO D
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Re: DS - Nonzero Integers   [#permalink] 14 Sep 2008, 03:31
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