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# modules

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Intern
Joined: 09 Feb 2011
Posts: 11
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Kudos [?]: 16 [0], given: 1

modules [#permalink]  11 Feb 2011, 00:10
00:00

Difficulty:

15% (low)

Question Stats:

85% (02:05) correct 15% (02:23) wrong based on 46 sessions
Q35:
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

how we can compute value in this pls help
[Reveal] Spoiler: OA
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2035
Followers: 135

Kudos [?]: 1100 [1] , given: 376

Re: modules [#permalink]  11 Feb 2011, 05:09
1
KUDOS
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

The units place of 5n will either be 5 or 0.
The units place of 56 is always 6.

So; the possible values for units place of |56-5n| are:

6: 6-0=6 {for all 5n where units place of 5n is 0 and 5n<56 or n<12}
1: 6-5=1 {for all 5n where units place of 5n is 5 and 5n<56 or n<12}
9: 5-6=15-6=9 {for all 5n where where units place of 5n is 5 and 5n>56 or n>=12}
4: 0-6=10-6=4 {for all 5n where where units place of 5n is 0 and 5n>56 or n>=12}

Only number with above criteria is 9.

Ans: "B"
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Director
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Joined: 04 Jan 2011
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Schools: Haas '18, Kelley '18
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WE: Education (Education)
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Kudos [?]: 150 [0], given: 78

Re: modules [#permalink]  11 Feb 2011, 05:53
SVP
Joined: 16 Nov 2010
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Concentration: Strategy, Technology
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Kudos [?]: 340 [0], given: 36

Re: modules [#permalink]  11 Feb 2011, 06:31
B. I did it by picking numbers and got 9.
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Kudos [?]: 88 [0], given: 22

Re: modules [#permalink]  15 Feb 2011, 03:15
Hi subhashghosh

Can you pls tell how did you proceed by plugging values.because other method is bit lengthy and ill take time with the possibility of inaccuracy.

Thanks
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Kudos [?]: 340 [0], given: 36

Re: modules [#permalink]  15 Feb 2011, 05:27
Observe that |56-5n| is given, and the values given in answer choices are 7-20, so pick some number for n which will be making the value |56-5n| one of the choice among the ones given, e.g., 56-5*10 = 6, but we don't have 6 here. So I decided to move upwards and tried again 2-3 more and saw that |56-5 * 13| = |56 - 65| = |-9| = 9, which is the choice B.
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Re: modules   [#permalink] 15 Feb 2011, 05:27
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