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.
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:
In this conversation with Ankit Mehra, IESE MBA and CEO & Co-Founder, of GyanDhan, we will discuss how prospective MBA students can finance their MBA education with education loans and scholarships.
What do András from Hungary, Pablo from Mexico, Conner from the United States, Giorgio from Italy, Leo from Germany, and Rishab from India have in common? They all earned top scores on the GMAT Focus Edition using the Target Test Prep course!
Grab 20% off any Target Test Prep GMAT Focus plan during our Flash Sale. Just enter the coupon code FLASH20 at checkout to save up to $320. The offer ends on Tuesday, April 30.
After just 3 months of studying with the TTP GMAT Focus course, Conner scored an incredible 755 (Q89/V90/DI83) on the GMAT Focus. In this live interview, he shares how he achieved his outstanding 755 (100%) GMAT Focus score on test day.
What do András from Hungary, Conner from the United States, Giorgio from Italy, Leo from Germany, and Saahil from India have in common? They all earned top scores on the GMAT Focus Edition using the Target Test Prep course!
Boolean Algebra/How many numbers between 1 and 1000
[#permalink]
29 Jul 2013, 14:52
Hey Guys,
I have been having difficulty with converting problems into a logical boolean sentence in order to solve them. In the problem below I am not so much concerned with finding the answer but writing out the sentence in order to find the solution. Maybe if there is a guide/book/etc. that can help me out with this subject.
For example: How many numbers between 1 and 1000 are divisible by 2 and 3?
Let A=total amount of numbers divisible by 2 between 1 and 1000 B=total amount of numbers divisible by 3 between 1 and 1000 T=total amount of numbers between 1 and 1000
So AnB=A+B-AuB
1) How many numbers between 1 and 1000 are not divisible by 2 and 3? ~(AnB)=~Au~B (Demorgan's Law)=~A+~B-(~An~B) could we also write ~(AnB)=T-(AnB) OR is this question asking ~An~B which does not equal ~(AnB) ~An~B
2) How many numbers between 1 and 1000 are divisible by 2 but not divisible by 3? An~B=A+B-(Au~B)
3) How many numbers between 1 and 1000 are divisible by either 2 or 3? AuB=A+B-AnB
4) How many numbers between 1 and 1000 are divisible by neither 2 or 3? ~(AuB)=T-(AuB) where AuB=A+B-AnB
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.
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.
Re: Boolean Algebra/How many numbers between 1 and 1000
[#permalink]
22 Aug 2013, 13:50
Hi, I am not sure what you mean. I guess there is a right tool for the right job kind of thing. Solving it logically is easier in this case. You will use "set" theory to include / remove overlap values or invalid values.
If I need numbers divisible by 2 & 3 = That means, Numbers divisible by 6
To find total number of integers divisible by 2 and 3 in 1000 = |1000 / 6| = 166
So not divisble by 2& 3 = 1000 - 166 = 834
Total Number of integers divisible by 2 or 3 => needs more explanation. Is it 2 or 3 but should not be divisible by 4,6, 8, 9 , 10? Or is it allowed? because it just depends on the question actually. Sorry.
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.
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!
gmatclubot
Re: Boolean Algebra/How many numbers between 1 and 1000 [#permalink]