 It is currently 15 Jul 2019, 14:31 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If n is a positive integer, which one of the following numbe  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder  Joined: 18 Apr 2015
Posts: 7312
Followers: 122

Kudos [?]: 1427 , given: 6562

If n is a positive integer, which one of the following numbe [#permalink]
Expert's post 00:00

Question Stats: 100% (01:45) correct 0% (00:00) wrong based on 5 sessions
If n is a positive integer, which one of the following numbers must have a remainder of 3 when divided by any of the numbers 4, 5, and 6?

(A) 12n + 3
(B) 24n + 3
(C) 80n + 3
(D) 90n + 2
(E) 120n + 3
[Reveal] Spoiler: OA

_________________ Manager Joined: 26 Jan 2018
Posts: 186
Followers: 0

Kudos [?]: 115  , given: 3

Re: If n is a positive integer, which one of the following numbe [#permalink]
1
KUDOS
The number sould have 4, 5 and 6 as common factors. So the answer would be E. +3 is common as that is expected as remainder. Manager Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146 WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 79  , given: 99

Re: If n is a positive integer, which one of the following numbe [#permalink]
1
KUDOS
The remainder equation can be formed for each of the divisors as follows :-

1.N=4q+3
2.N=5q+3
3.N=6q+3

Now we should be knowing that Least common multiple of 4,5 and 6 is 4*5*6 =120.

So value for each of the equations could be:

1.N=4q+3=123
2.N=5q+3=128
3.N=6q+3=129

Hence when we divide 123,128 and 129 by 4, 5 and 6 respectively then we get 3 as a remainder.

hence option E is the answer. Re: If n is a positive integer, which one of the following numbe   [#permalink] 26 Apr 2018, 09:16
Display posts from previous: Sort by

# If n is a positive integer, which one of the following numbe  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.