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# Modulus

Author Message
Director
Joined: 12 Oct 2008
Posts: 539

Kudos [?]: 594 [0], given: 2

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28 Oct 2009, 16:40
00:00

Difficulty:

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Question Stats:

50% (00:00) correct 50% (01:42) wrong based on 1 sessions

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This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If n is a positive integer, which of the following is a possible value of |56 - 5n|?
A. 7
B. 9
C. 12
D. 15
E. 20

[Reveal] Spoiler:
OA B, am I suppose to expand the equation? $$(56-5n)^2$$

Kudos [?]: 594 [0], given: 2

SVP
Joined: 29 Aug 2007
Posts: 2472

Kudos [?]: 843 [0], given: 19

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28 Oct 2009, 19:35
If n is a positive integer, which of the following is a possible value of |56 - 5n|?

A. 7
B. 9
C. 12
D. 15
E. 20

[Reveal] Spoiler:
OA B, am I suppose to expand the equation? $$(56-5n)^2$$

= |56 - 5n|
= |(10*5) +1 - 5n|

Since n is a +ve integer, |56 - 5n| must end in either (5k + 4) or (5k - 4) or (5k + 1) or (5k - 1). Only 9 fits to the formats above. So its B.
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Kudos [?]: 843 [0], given: 19

Senior Manager
Joined: 18 Aug 2009
Posts: 299

Kudos [?]: 354 [0], given: 9

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28 Oct 2009, 22:46
so confused with this
this is the best I could come up with after a coffee:

possibilities for units digit:
6-5 = 1
6-0 = 6
reversing the subtraction (as it is absolute)
5-6 = -1
15-6 = 9
10-6 = 4

only one answer option, 9, fits above
prove using -56+5(12) = -56+65 = 9

Kudos [?]: 354 [0], given: 9

Manager
Joined: 15 Sep 2009
Posts: 131

Kudos [?]: 27 [0], given: 2

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29 Oct 2009, 04:48
Try substituting values for n and we will end with 9.

n = 13 ==> | 56-65| ==> 9

I will choose option B

Kudos [?]: 27 [0], given: 2

Manager
Joined: 16 Jul 2009
Posts: 248

Kudos [?]: 440 [0], given: 3

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31 Oct 2009, 11:44
Substituting the values is the best approach.. and leads to option B, which is correct answer.

Kudos [?]: 440 [0], given: 3

Re: Modulus   [#permalink] 31 Oct 2009, 11:44
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