
It is currently Mon Jul 22, 2019 6:48 am

View unanswered posts  View active topics

Page 1 of 1

[ 6 posts ] 

Author 
Message 
questioner

Post subject: GMAT Number Theory Posted: Sat Dec 25, 2010 6:23 pm 

Joined: Sun May 30, 2010 3:15 am Posts: 424

How many twodigit numbers yield a remainder of 1 when divided by both 4 and 14?
A. 0 B. 1 C. 2 D. 3 E. 4
(D) Let’s use n to denote a twodigit number that fits the requirement in the question.
Since we are looking for a remainder of 1 when n is divided by 4 or 14, then (n – 1) must be divisible by both 4 and 14. All numbers divisible by both 4 and 14 must be divisible by their least common multiple, which is 28.
So n – 1 can equal any twodigit multiple of 28. These possible values are: n – 1 = 28, 56, or 84.
Therefore, n = 29, 57, or 85 (3 different twodigit numbers).
The correct answer is choice (D). 
43 is also another number that yeild a remainder of 1 when divided by both 4 and 14. So the answer should be D.


Top 


Gennadiy

Post subject: Re: GMAT Number Theory Posted: Sat Dec 25, 2010 6:24 pm 

Joined: Sun May 30, 2010 2:23 am Posts: 498

43 = 40 + 3 = 4 × 10 + 3
When we divide 43 by 4 the remainder is 3, NOT 1.


Top 


robertian23

Post subject: Re: GMAT Number Theory Posted: Fri Feb 03, 2012 10:49 am 

Joined: Fri Feb 03, 2012 10:47 am Posts: 1

What about 15? 15 = 14 × 1 + 1


Top 


Gennadiy

Post subject: Re: GMAT Number Theory Posted: Tue Feb 07, 2012 8:00 am 

Joined: Sun May 30, 2010 2:23 am Posts: 498


Top 


questioner

Post subject: Re: GMAT Number Theory Posted: Mon Feb 04, 2013 1:46 pm 

Joined: Sun May 30, 2010 3:15 am Posts: 424


Top 


Gennadiy

Post subject: Re: GMAT Number Theory Posted: Mon Feb 04, 2013 1:49 pm 

Joined: Sun May 30, 2010 2:23 am Posts: 498


Top 



Page 1 of 1

[ 6 posts ] 

Who is online 
Users browsing this forum: No registered users and 1 guest 

You cannot post new topics in this forum You cannot reply to topics in this forum You cannot edit your posts in this forum You cannot delete your posts in this forum You cannot post attachments in this forum

