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If r and s are nonzero integers, is r/s an integer ?

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Math Expert
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Joined: 02 Sep 2009
Posts: 47043
If r and s are nonzero integers, is r/s an integer ? [#permalink]

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New post 05 Sep 2017, 04:52
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (00:43) correct 40% (01:12) wrong based on 90 sessions

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Director
Director
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P
Joined: 18 Aug 2016
Posts: 631
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
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Re: If r and s are nonzero integers, is r/s an integer ? [#permalink]

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New post 05 Sep 2017, 04:58
Bunuel wrote:
If r and s are nonzero integers, is r/s an integer ?

(1) s = 3
(2) r – 5s = s^2


(1) no info abt r..not sufficient

(2) r – 5s = s^2
dividing by s both sides
r/s – 5 = s
now r/s = s+5 (since s is a non zero integer) r/s will be an integer
Sufficient

B
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Re: If r and s are nonzero integers, is r/s an integer ? [#permalink]

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New post 28 Dec 2017, 21:36
(1) Insufficient: Only s =3 is given, as we dont know value of r.
(2) Sufficient :
r - 5s = s^2
r = s^2 + 5s
r = s ( s + 5)
r /s = ( s + 5)
Now, (s+5) we know is an integer as s is an integer. Therefore, r/s is an integer.
The correct answer is B.
Re: If r and s are nonzero integers, is r/s an integer ?   [#permalink] 28 Dec 2017, 21:36
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If r and s are nonzero integers, is r/s an integer ?

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