When N is divided by 10 the remainder is 1 and when N is div : GMAT Problem Solving (PS)
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# When N is divided by 10 the remainder is 1 and when N is div

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Intern
Joined: 28 Jan 2011
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Kudos [?]: 13 [1] , given: 15

When N is divided by 10 the remainder is 1 and when N is div [#permalink]

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06 Sep 2013, 11:44
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Question Stats:

85% (01:55) correct 15% (01:56) wrong based on 99 sessions

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When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder when N is divided by 30?

(a) 4
(b) 7
(c) 11
(d) 13
(e) 17

How would you go about solving this problem?
[Reveal] Spoiler: OA
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Joined: 02 Sep 2009
Posts: 36583
Followers: 7087

Kudos [?]: 93287 [1] , given: 10555

Re: When N is divided by 10 the remainder is 1 and when N is div [#permalink]

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06 Sep 2013, 13:48
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Expert's post
salsal wrote:
When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder when N is divided by 30?

(a) 4
(b) 7
(c) 11
(d) 13
(e) 17

How would you go about solving this problem?

When N is divided by 10 the remainder is 1 --> N = 10q + 1 --> N can be 1, 11, 21, 31, 41, ....
When N is divided by 3 the remainder is 2 --> N= 3p +2 --> N can be 2, 5, 8, 11, 14, 17, 20, 23, ...

Notice that N can be 11. Now, since we cannot have more than 1 correct answer in PS, then the remainder must be the same for any possible value of N. If N is 11, then the remainder when N is divided by 30 is 11.

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Kudos [?]: 396 [3] , given: 14

Re: When N is divided by 10 the remainder is 1 and when N is div [#permalink]

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06 Sep 2013, 17:07
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salsal wrote:
When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder when N is divided by 30?

(a) 4
(b) 7
(c) 11
(d) 13
(e) 17

How would you go about solving this problem?

N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.
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Srinivasan Vaidyaraman
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Kudos [?]: 163 [0], given: 0

Re: When N is divided by 10 the remainder is 1 and when N is div [#permalink]

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25 Jun 2016, 02:27
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Re: When N is divided by 10 the remainder is 1 and when N is div   [#permalink] 25 Jun 2016, 02:27
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