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PS - Number Properties

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Senior Manager
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PS - Number Properties [#permalink]

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New post 18 Dec 2008, 10:54
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When two numbers 34041 and 32506 are divided by the 3 digit number N the reminder is the same. What is this 3 digit number?
A) 297
B) 307
C) 367
D) 407
E) 453

Kudos [?]: 361 [0], given: 15

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Joined: 05 Nov 2007
Posts: 35

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Re: PS - Number Properties [#permalink]

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New post 18 Dec 2008, 11:16
mrsmarthi wrote:
When two numbers 34041 and 32506 are divided by the 3 digit number N the reminder is the same. What is this 3 digit number?
A) 297
B) 307
C) 367
D) 407
E) 453


34041 - 32506 = 1535
find one of the numbers that can divide perfectly into 1535.
from the numbers shown, the only number that makes sense that they can be multiplied by and come close is 5.
D and E are out because is ~ 2000
Try B...307x5 = 1535

Answer B

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Re: PS - Number Properties [#permalink]

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New post 18 Dec 2008, 11:44
34041=KN+r
32506=MN+r

1535= (K-M)N is the difference, N has to be mutliple of 1535 ..307 is the only ..possibility..

Kudos [?]: 319 [0], given: 2

Senior Manager
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Re: PS - Number Properties [#permalink]

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New post 19 Dec 2008, 03:01
answer is B even if you don't know the steps to solve it systematicaly
just pick an answer choice and divide both the numbers with it.

In this case option B gives same remainder......

Quick and fast way to solve a quant prob

Kudos [?]: 460 [0], given: 14

Re: PS - Number Properties   [#permalink] 19 Dec 2008, 03:01
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PS - Number Properties

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