Find all School-related info fast with the new School-Specific MBA Forum

It is currently 02 Aug 2015, 16:39
GMAT Club Tests

Close

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
Your Progress

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If t is a positive integer and the r is the remainder when

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
User avatar
Joined: 17 Jan 2006
Posts: 92
Followers: 1

Kudos [?]: 5 [0], given: 0

If t is a positive integer and the r is the remainder when [#permalink] New post 03 Jun 2006, 22:21
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If t is a positive integer and the r is the remainder when t^2+5t+6 is divided by 7, what is the value of r?
(1) When t is divided by 7, the remainder is 6.
(2) When t^2 is divided by 7, the remainder is 1.
Manager
Manager
avatar
Joined: 29 Apr 2006
Posts: 85
Followers: 1

Kudos [?]: 18 [0], given: 0

 [#permalink] New post 05 Jun 2006, 05:37
amansingla4 wrote:
C.....


Please explain how you got C.
Director
Director
avatar
Joined: 16 Aug 2005
Posts: 946
Location: France
Followers: 1

Kudos [?]: 11 [0], given: 0

 [#permalink] New post 05 Jun 2006, 06:17
(t+2)(t+3) = 7K + r

(1) let t=6, 13, ...
t^2+5t+6 = 72, 240, ...
Remainder = 2
Sufficient

(2) same way as with (1) sufficient

Hence D
_________________

I believe its yogurt!

Manager
Manager
User avatar
Joined: 29 Sep 2005
Posts: 125
Followers: 1

Kudos [?]: 2 [0], given: 0

Re: GMATPREP : remainder [#permalink] New post 05 Jun 2006, 06:33
dinesh8 wrote:
If t is a positive integer and the r is the remainder when t^2+5t+6 is divided by 7, what is the value of r?
(1) When t is divided by 7, the remainder is 6.
(2) When t^2 is divided by 7, the remainder is 1.


I came up with C.

Statement 2: We know t^2 when divided by 7 gives remainder 1

e.g. 36, 64, 139 (i.e. 6^2, 8^2, 13^2)

So,

t^2 + 6 must be divisible by 7 (if you add the remainder 1 to 6)

But we do not know anything about 5t hence INSUFF.

St.1: When t is divided by the remainer is 6. INSUFF

Together,

From 1 we know t^2 + 6 gives remainder 0
From 2 we know 5t gives remainder 6

Hence the remainder for t^2 + 5t + 6 = 6

Took me close to 4 mins to get this by the way. What is the OA?
Manager
Manager
User avatar
Joined: 29 Sep 2005
Posts: 125
Followers: 1

Kudos [?]: 2 [0], given: 0

Re: GMATPREP : remainder [#permalink] New post 05 Jun 2006, 06:45
tapan22 wrote:
dinesh8 wrote:
If t is a positive integer and the r is the remainder when t^2+5t+6 is divided by 7, what is the value of r?
(1) When t is divided by 7, the remainder is 6.
(2) When t^2 is divided by 7, the remainder is 1.


I came up with C.

Statement 2: We know t^2 when divided by 7 gives remainder 1

e.g. 36, 64, 139 (i.e. 6^2, 8^2, 13^2)

So,

t^2 + 6 must be divisible by 7 (if you add the remainder 1 to 6)

But we do not know anything about 5t hence INSUFF.

St.1: When t is divided by the remainer is 6. INSUFF

Together,

From 1 we know t^2 + 6 gives remainder 0
From 2 we know 5t gives remainder 6

Hence the remainder for t^2 + 5t + 6 = 6

Took me close to 4 mins to get this by the way. What is the OA?



PLEASE IGNORE THIS EXPLANATION

I agree with gmatmba the answer should be D and remainder is always 2.

P.S. I am having a wretched day today. Seems like all answers I posted today were wrong.
Manager
Manager
avatar
Joined: 05 Jun 2006
Posts: 113
Location: London
Followers: 1

Kudos [?]: 1 [0], given: 0

 [#permalink] New post 07 Jun 2006, 06:47
A..
Please try (2) with
t=8, the remainder you get is 5.
t=6, the remainder is 2
Intern
Intern
User avatar
Joined: 04 May 2006
Posts: 49
Followers: 0

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

 [#permalink] New post 09 Jun 2006, 02:05
It is A.

Eqn (2) gives different answers for t=1 & t=6 so not sufficient.

OA time.....................
_________________

If A equals success, then the formula is: A = X + Y + Z, X is work. Y is play. Z is keep your mouth shut.
Albert Einstein

SVP
SVP
avatar
Joined: 30 Mar 2006
Posts: 1737
Followers: 1

Kudos [?]: 46 [0], given: 0

 [#permalink] New post 09 Jun 2006, 03:32
xsports wrote:
A..
Please try (2) with
t=8, the remainder you get is 5.
t=6, the remainder is 2


Agree with A.
1)
(t+2)(t+3)
T divided by 7 gives remainder 6
Remainder for t+2 = 1
Remainder for t+3 = 2
Hence remainder = 2

2) t^2 gives remainder 1. 6 and 8 both satisfy the equation.
when t=6, remainder of eq = 2
when t= 8, remainder of eq = 5
hence not suff

A is the answer
  [#permalink] 09 Jun 2006, 03:32
Display posts from previous: Sort by

If t is a positive integer and the r is the remainder when

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.