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:
Ready to ace the GMAT and unlock your dream MBA program? Look no further! In this comprehensive video, we cover everything you need to know – from mindset shifts to powerful strategies and a step-by-step monthly plan.
With brand new features like:AI-driven Planner tool, 850+ data Insights practice questions and GMAT Focus Edition Adaptive mock tests with ESR+ analysis and personal mentor support, our course is the most comprehensive course for GMAT Focus Edition.
Earning a 100th percentile score on the GMAT Focus is no easy feat. But with Target Test Prep, any score is possible. Take Ming, a TTP student who recently scored 755 (Q86/V88/DI86) on the GMAT Focus Edition.
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: AB and BA are 2 digit integers and AB*BA=CDE, where CDE is a
[#permalink]
09 Aug 2006, 06:24
getzgetzu wrote:
AB and BA are 2 digit integers and AB*BA=CDE, where CDE is a 3 digit integer. What is AB?
1) A=E 2) A=C
(10A+B)(10B+A)=100AB+10(A^2+B^2)+AB =100C+10D+E, neither A not B is equal to 0
(1) If A=E From above AB=E, so AB=A and B=1
But 31*13= 403 and 21*12=252, so clearly we don't know the value of B, it could be any of {1,2,3,4,5,6}
NOT SUFFICIENT
(2) If A=C, the hundreds digit of CDE is A, whereas the hundreds digit of AB*BA is at least AB. For these to be equal, it must be that B=1 and A^2+B^2=A^2+1 must be less than 10
Therefore A^2 is less than 9 i.e A is one of {1,2}
So number AB could be 11 or 21 as 11*11=121 and 21*12=252 satisfy (2). NOT SUFFICIENT
Notcing that if AB is 11 or 21, both (1) and (2) are met, I choose E. If A and B had to be different, (C) would be the answer AB=21, but this is not stated so cannot be assumed.
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: AB and BA are 2 digit integers and AB*BA=CDE, where CDE is a [#permalink]