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.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Re: If t is a positive integer and r is the remainder when t^2+5t+6 is div [#permalink]
11 Jul 2009, 18:06
Just wanted to add that I didn't know any way how stmt 2 could give an answer, but just in case there could be a possibility, and since i had no logic to check, i took random numbers satisfying stmt 2, in this case 6 and 8, and substituted in the polynomial expression, both gave different remainders, so i was sure that stmt 2 has to be insufficient.
Re: If t is a positive integer and r is the remainder when t^2+5t+6 is div [#permalink]
13 Jul 2009, 07:13
Guys, this is a very interesting question , I have seen this type for the first time. I have couple of questions
1) if remainder for t/7 is known we can know the remainder for \(t^2/7\) , and vice verca is not possible ? ie if the the remainder for \(t^2/7\) is known t/7 is not known ?
2) where can I get additional information on these types of questions ?
Re: If t is a positive integer and r is the remainder when t^2+5t+6 is div [#permalink]
13 Jul 2009, 07:53
1
This post received KUDOS
skpMatcha wrote:
Guys, this is a very interesting question , I have seen this type for the first time. I have couple of questions
1) if remainder for t/7 is known we can know the remainder for \(t^2/7\) , and vice verca is not possible ? ie if the the remainder for \(t^2/7\) is known t/7 is not known ?
2) where can I get additional information on these types of questions ?
Help !
Actually there is a remainder rule, that works only for additions, subtractions and multiplications, but not for divisions.
Ill illustrate this rule with an example.
25/7 - R= 4 41/7 - R= 6 addition (25+41)/7 should give remainder of 4+6, but 10 is greater than 7, so the final remainder will be that of 10/7, ie 3 checking this rule - 25+41 = 66..... 66/7 - R = 3
subtraction (41-25)/7 should give remainder 6-4 = 2...... check: 41-25 = 16. .....16/7 - R= 2
multiplication 41*25/7 should give remainder of (6*4)/7, ie 24/7 -> R= 3 check: 41*25 = 1025....1025/7 -> R= 3
Now square is nothing but (t/7) * (t/7), so applying multiplication rule, we get that remainder should be R*R
Square root is division, and therefore the rule doesnt apply to square roots.
Re: If t is a positive integer and r is the remainder when t^2+5t+6 is div [#permalink]
04 Apr 2015, 21:09
Hello from the GMAT Club BumpBot!
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).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________
Re: If t is a positive integer and r is the remainder when t^2+5t+6 is div [#permalink]
05 Apr 2015, 03:51
Expert's post
If t is a positive integer and r is the remainder when t^2+5t+6 is divided by 7, what is the value of r?
First of all factor \(t^2+5t+6\) --> \(t^2+5t+6=(t+2)(t+3)\).
(1) When t is divided by 7, the remainder is 6 --> \(t=7q+6\) --> \((t+2)(t+3)=(7q+8)(7q+9)\). Now, no need to expand and multiply all the terms, just notice that when we expand all terms but the last one, which will be 8*9=72, will have 7 as a factor and 72 yields the remainder of 2 upon division by 7. Sufficient.
(2) When t^2 is divided by 7, the remainder is 1 --> different values of t possible: for example t=1 or t=6, which when substituted in \((t+2)(t+3)\) will give different remainder upon division by 7. Not sufficient.
You know what’s worse than getting a ding at one of your dreams schools . Yes its getting that horrid wait-listed email . This limbo is frustrating as hell . Somewhere...
As I’m halfway through my second year now, graduation is now rapidly approaching. I’ve neglected this blog in the last year, mainly because I felt I didn’...
Wow! MBA life is hectic indeed. Time flies by. It is hard to keep track of the time. Last week was high intense training Yeah, Finance, Accounting, Marketing, Economics...