Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
09 Mar 2008, 21:20
Kudos
Bookmarks
What is N in each statement?
1. (n+2)! is divisible by 36
2. (n+2)! is divisible by 49
in factorial divisibility questions, do we look for the highest factors or the highest prime factors?
in #1, do we look for the lowest number of where we can derive 5 instances of 2?
36 = 6*6
or
36 = 2^5
in #2, do we look for numbers with one instance of 7, or two?
(N+2)! = 7
or
(N+2)! = 49
1. (n+2)! is divisible by 36
2. (n+2)! is divisible by 49
in factorial divisibility questions, do we look for the highest factors or the highest prime factors?
in #1, do we look for the lowest number of where we can derive 5 instances of 2?
36 = 6*6
or
36 = 2^5
in #2, do we look for numbers with one instance of 7, or two?
(N+2)! = 7
or
(N+2)! = 49
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
09 Mar 2008, 22:10
Kudos
Bookmarks
bmwhype2
What is N in each statement?
1. (n+2)! is divisible by 36
2. (n+2)! is divisible by 49
in factorial divisibility questions, do we look for the highest factors or the highest prime factors?
in #1, do we look for the lowest number of where we can derive 5 instances of 2?
36 = 6*6
or
36 = 2^5
in #2, do we look for numbers with one instance of 7, or two?
(N+2)! = 7
or
(N+2)! = 49
1. (n+2)! is divisible by 36
2. (n+2)! is divisible by 49
in factorial divisibility questions, do we look for the highest factors or the highest prime factors?
in #1, do we look for the lowest number of where we can derive 5 instances of 2?
36 = 6*6
or
36 = 2^5
in #2, do we look for numbers with one instance of 7, or two?
(N+2)! = 7
or
(N+2)! = 49
[quote="bmwhype2"]What is N in each statement?
1: (n+2)! is divisible by 36 i.e (2x2x3x3)
how do we get 2x2x3x3? we need at least 6! to have 2x2x3x3, then only (n+2)! divisible by 36.
(n+2)! = 36k, where k is 1 or > than 1.
so n must be 4.
if n is at least 4, (n+2)! is divisible by 36. but it doesnot mean n = 4. n is at least 4.
2. (n+2)! is divisible by 49 i.e. (7x7)
how do we get 7x7? only 14! has 7x7. so (n+2)! has to be 14.
(n+2)! = 49k, where k is 1 or > than 1.
so n has to be at least 12 here.
10 Mar 2008, 06:04
Kudos
Bookmarks
GMAT TIGER
thanks GMATTIGER!
the first question was actually supposed to be 32 so that the denominator becomes 2^5, but i got the concept that we need the lowest N inclusive of all 5 instances of 2 from your clarification in the second explanation.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
