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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
Posts: 22

Kudos [?]: 16 [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, 12:44
1
KUDOS
00:00

Difficulty:

15% (low)

Question Stats:

84% (00:55) correct 16% (01:53) wrong based on 108 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

Kudos [?]: 16 [1], given: 15

Math Expert
Joined: 02 Sep 2009
Posts: 41698

Kudos [?]: 124654 [1], given: 12079

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

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06 Sep 2013, 14:48
1
KUDOS
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 [?]: 124654 [1], given: 12079

Director
Joined: 17 Dec 2012
Posts: 601

Kudos [?]: 508 [3], given: 16

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

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06 Sep 2013, 18:07
3
KUDOS
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?

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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http://www.sravnatestprep.com/regularcourse.php

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Kudos [?]: 508 [3], given: 16

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 17624

Kudos [?]: 271 [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, 03:27
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Kudos [?]: 271 [0], given: 0

Re: When N is divided by 10 the remainder is 1 and when N is div   [#permalink] 25 Jun 2016, 03:27
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