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# If P, Q, R, and S are positive integers, and P/Q=R/S, is R

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If P, Q, R, and S are positive integers, and P/Q=R/S, is R [#permalink]

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01 Sep 2006, 06:21
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If P, Q, R, and S are positive integers, and P/Q=R/S, is R divisible by 5 ?

(1) P is divisible by 140

(2) Q=7^x, where x is a positive integer
Current Student
Joined: 28 Dec 2004
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01 Sep 2006, 06:59
this looks to be C...

P/R = R/S

1) says P has prime factors 7.2^2.5

insuff

2) says q=7^x, where say X=1, insuff

together... then we know that R has to be some multiple of 5....suff
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01 Sep 2006, 07:59
If P, Q, R, and S are positive integers, and P/Q=R/S, is R divisible by 5 ?

(1) P is divisible by 140

(2) Q=7^x, where x is a positive integer

rephrasing the question STEM

R = SP/Q , THE QUESTION ASKS ... IF R = 5X

FROM ONE
P has 2^2*7*5 among its prime factors.......insuff (and COULD BE SUFF if the rest of the prime factors of P that we dont know multiplied by 2^2 *7 multiplied by S are devisible by Q.)

from 2 Q = 7^X = {7.49,343,.....} .... insuff

both stm together only if s is a multiple of 7 "x-1" times as in Q we could have an answer.

Thus my answer is E

Remember that R is an integer- we are told so in the question!

Last edited by yezz on 01 Sep 2006, 08:10, edited 2 times in total.
Current Student
Joined: 28 Dec 2004
Posts: 3363
Location: New York City
Schools: Wharton'11 HBS'12
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Kudos [?]: 297 [0], given: 2

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01 Sep 2006, 08:01
check ur prime factors for P...P=140 which is 14*10, there has to be a 7 in there..

yezz wrote:
If P, Q, R, and S are positive integers, and P/Q=R/S, is R divisible by 5 ?

(1) P is divisible by 140

(2) Q=7^x, where x is a positive integer

rephrasing the question STEM

R = SP/Q , THE QUESTION ASKS ... IF R = 5X

FROM ONE
P has 2^2*3*5 among its prime factors.......insuff (and is only true if the rest of the prime factors of P that we dont know multiplied by 2^2 *3 multiplied by S are devisible by Q.)

from 2 Q = 7^X = {7.49,343,.....} .... insuff

both stm together only if s is a multiple of 7 "x" times as in Q we could have an answer.

Thus my answer is E
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01 Sep 2006, 08:09
I EDITED MY POST...THANKS A LOT.
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01 Sep 2006, 09:09
1
KUDOS
Whoever the angel who added this

which i do not know how he did it.

Remember that R is an integer- we are told so in the question!

If i have a wish during the GMAT test it would be to have that angel on my right shoulder during the test to whisper all of those wise advices of concentration and not to get drifted with the answer and forget the question stem

The answer is c because for shure as P has a factor 5 and for sure Q has no 5's to cancel out with that of P and as the angel said R = an intiger thus both statments are suffecient.

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Re: If P, Q, R, and S are positive integers, and P/Q=R/S, is R [#permalink]

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23 Dec 2011, 06:58
1
KUDOS
If P, Q, R and S are positive integers, and P/Q = R/S
is R divisible by 5?

(1) P is divisible by 140

(2) Q = 7^x

PS/Q = R, an integer

PS will be a multiple of Q(=7^x)
The fact that PS/Q is an integer
requests the sevens to "ratio out" from S (if any) to P (if > 1),
until at least 2.2.5 is left as a factor\

R is divisible by 2 and by 5

[xecxdj]
Re: If P, Q, R, and S are positive integers, and P/Q=R/S, is R   [#permalink] 23 Dec 2011, 06:58
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# If P, Q, R, and S are positive integers, and P/Q=R/S, is R

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