Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 25 Jun 2012
Posts: 65

What is the remainder when positive integer t is divided by [#permalink]
Show Tags
13 Nov 2012, 12:48
4
This post was BOOKMARKED
Question Stats:
67% (01:23) correct 33% (01:15) wrong based on 311 sessions
HideShow timer Statistics
What is the remainder when positive integer t is divided by 5? (1) When t is divided by 4, the remainder is 1 (2) When t is divided by 3, the remainder is 1
Official Answer and Stats are available only to registered users. Register/ Login.



Manager
Joined: 19 Nov 2010
Posts: 86

Re: What is the remainder when positive integer t is divided by [#permalink]
Show Tags
13 Nov 2012, 13:10
Number picking: Stmt 1: 1,5,9,13,17,21 and R: 1,0,4,3,2,1 : looks like a pattern might emerge here, but nothing else  Insufficient Stmt 2: 1,4,10,13,16 and R: 1,4,0,3,1 : again a pattern might emerge, but nothing else  Insufficient. Both: 13,25 R: 3,0 : Insufficient
Any body has a quick algebra for this?



Manager
Joined: 19 Nov 2010
Posts: 86

Re: What is the remainder when positive integer t is divided by [#permalink]
Show Tags
13 Nov 2012, 13:29
2
This post received KUDOS
On the second thought, I think algebra will go like this:
1: The number would be 4K+1, so (4K + 1)/5 would be 4R*K + R (R means remainder) So if K is 1 then it will be 4R*1+R = 5R => R=0 if K is 2 then it will be 4R*2 + R = 9R => R = 4  Insuficient
2: The number will be 3K + 1 so (3K + 1)/5 will be 3R*K + R So if K is 1 then it will be 3R*1 + R = 4R => R = 4 if K is 2 then it will be 3R*2 + R = 7R => R = 2  Insufficient
Both: The number will be 12K + 1 so (12K + 1)/5 will be 2R*K + R So if K is 1 then it will be 2R*1 + R = 3R => R = 3 if K is 2 then it will be 2R * 2 + R = 5R => R = 0  Insufficient
Any body has sorter way to do it!



Intern
Status: wants to beat the gmat
Joined: 18 Jul 2012
Posts: 19
Location: United States

Re: What is the remainder when positive integer t is divided by [#permalink]
Show Tags
13 Nov 2012, 15:56
I believe it's like this:
t/4 => remainder 1 : n can equal: 1, 5, 9, 13, 17, 21, etc t/3 => remainder 1 : n can equal: 1, 4, 7, 10, 13, etc.
If n = 1 => n/5 remainder 1 If n = 13 => n/5 remainder 3
So it's insufficient. E



Manager
Joined: 16 Feb 2012
Posts: 205
Concentration: Finance, Economics

Re: What is the remainder when positive integer t is divided by [#permalink]
Show Tags
19 Feb 2013, 01:53
Statement 1: t=4p+1 So the remainder could be 1,5,9,13,17,21,25.... Insufficient Statement 2: t=3q+1 The remainder could be 1,4,7,10,13,16,19... Insufficient 1 and 2: t=12N+1 We take LCM of 3 and 4 plus firs common remainder from the lists above. Now just put in numbers instead of N. t could be 1,13,25,37 and so on... We and conclude from this that we don't know what is the remainder of t and the answer is E.
_________________
Kudos if you like the post!
Failing to plan is planning to fail.



Director
Joined: 03 Aug 2012
Posts: 838
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29 GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)

Re: What is the remainder when positive integer t is divided by [#permalink]
Show Tags
10 Aug 2013, 02:13
Although not a sound approach, here is one: t=5A + r (What is r?) (1). t = 4b + 1 ..... 1 5 9 13 17 ( all give different remainders by 5) Insufficient (2). t = 3c + 1 ......1 4 7 10 13 16 ( all give different remainders by 5) Insufficient Combining them series would be : t = 12X + 13 ............ 13 , 25, .... (all give different remainders by 5) Insufficient Hence , (E).
_________________
Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________



MBA Section Director
Status: Back to work...
Affiliations: GMAT Club
Joined: 22 Feb 2012
Posts: 5102
Location: India
City: Pune
GPA: 3.4
WE: Business Development (Manufacturing)

Re: What is the remainder when positive integer t is divided by [#permalink]
Show Tags
01 Oct 2013, 11:09
4
This post received KUDOS
Expert's post
2
This post was BOOKMARKED
actleader wrote: What is the remainder when positive integer t is divided by 5?
(1) When t is divided by 4, the remainder is 1
(2) When t is divided by 3, the remainder is 1 Somewhat different way....... LCM MODEL 1 : Any Number N which when divided by p, q, r leaving the same remainder s in each case. The Number will be of the form N = k(LCM of p, q, r) + s, where k is any non negative integer. S1 : t = 4q + 1 > clearly insufficient S2 : t = 3q + 1 > clearly insufficient S1 + S2 : Applying above Model > t = k(LCM of 4 and 3) + 1 > t = 12k + 1 > t = 1, 13, 25, 37, 49 ..... Multiple Answers, Hence Insufficient Choice E Hope that helps!
_________________
Chances of Getting Admitted After an Interview [Data Crunch]
Must Read Forum Topics Before You Kick Off Your MBA Application
New GMAT Club Decision Tracker  Real Time Decision Updates



Manager
Joined: 08 Nov 2014
Posts: 91
Location: India
GPA: 3
WE: Engineering (Manufacturing)

Re: What is the remainder when positive integer t is divided by [#permalink]
Show Tags
20 Jan 2015, 11:32
In S1 and S2 why you have considered Quotients as q only it can be other variables instead and if we solve S1S2 then , q=0, this will give t=1 so, 1/4 ............. remainder 1 1/3.............. remainder 1 and, 1/5 ........... remainder 1 On the contrary I think equations would be t= 4p+1 and, t= 3q+1 Two equations three unknowns, hence no solution. E answer Narenn wrote: actleader wrote: What is the remainder when positive integer t is divided by 5?
(1) When t is divided by 4, the remainder is 1
(2) When t is divided by 3, the remainder is 1 Somewhat different way....... LCM MODEL 1 : Any Number N which when divided by p, q, r leaving the same remainder s in each case. The Number will be of the form N = k(LCM of p, q, r) + s, where k is any non negative integer. S1 : t = 4q + 1 > clearly insufficient S2 : t = 3q + 1 > clearly insufficient S1 + S2 : Applying above Model > t = k(LCM of 4 and 3) + 1 > t = 12k + 1 > t = 1, 13, 25, 37, 49 ..... Multiple Answers, Hence Insufficient Choice E Hope that helps!
_________________
"Arise, Awake and Stop not till the goal is reached"



Manager
Joined: 05 Oct 2014
Posts: 60
Location: India
Concentration: General Management, Strategy
GPA: 3.8
WE: Project Management (Energy and Utilities)

Re: What is the remainder when positive integer t is divided by [#permalink]
Show Tags
21 Oct 2017, 08:10
1
This post received KUDOS
Narenn & @Bunnel, can you please check whether I am right ?? It is asked, t=5p+q what is the value of q? (1) says, t=4a+1, we don’t know value of a, INSUFFICIENT. (2) says, t=3b+1, we don’t know value of b, INSUFFICIENT. (1) + (2) , we get 4a+1=3b+1 , here a & b has unknown value. So we can’t really decide what is the reminder. Answer E.




Re: What is the remainder when positive integer t is divided by
[#permalink]
21 Oct 2017, 08:10






