Expecting Interview Invites from MIT Sloan Shortly - Join Chat Room3 for LIVE Updates

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.

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:

What is the remainder when 2^1344452457 is divided by 11? A) 4 B) 6 C) 8 D) None of the above (then what else? ) E) 12

HEY YOU STOLE MY OLD AVATAR!!!! I WANT IT BACK!!!!!

CALL THE POLICE!!!

_________________

"Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

HEY YOU STOLE MY OLD AVATAR!!!! I WANT IT BACK!!!!! CALL THE POLICE!!!

Everything is being done legally as this avatar was handed over to me 'officially' on 10/25/05.
Quote Titleist "Anyhow, you can find my old avatar in the Upload bank. You can copy his image for prosterity!"

HEY YOU STOLE MY OLD AVATAR!!!! I WANT IT BACK!!!!! CALL THE POLICE!!!

Everything is being done legally as this avatar was handed over to me 'officially' on 10/25/05. Quote Titleist "Anyhow, you can find my old avatar in the Upload bank. You can copy his image for prosterity!"

LOL! You got all the bases covered my friend!
_________________

"Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

What is the remainder when 2^1344452457 is divided by 11? A) 4 B) 6 C) 8 D) None of the above (then what else? ) E) 12

E is crossed right away

1344452457 divided by 5 has remainder of 2 ( for sure!)
---->we can write 2^1344452457= 2^(5x)* 2^2 ( x is an integer)
2^1344452457= (2^5)^x * 2^2 +2^2 - 2^2 = 2^2 ( 32^x +1^x) - 2^2
= 4 * (32+1)* A -2^2 ( A is the exponential expression gained by expressing 33^x+1^x and for sure A is an integer!)
= 4*33*A - 4
We have 4*33*A is divided by 11 so 4*33*A -4 divided by 11 has remainder of 7.

What is the remainder when 2^1344452457 is divided by 11? A) 4 B) 6 C) 8 D) None of the above (then what else? ) E) 12

E is crossed right away

1344452457 divided by 5 has remainder of 2 ( for sure!) ---->we can write 2^1344452457= 2^(5x)* 2^2 ( x is an integer) 2^1344452457= (2^5)^x * 2^2 +2^2 - 2^2 = 2^2 ( 32^x +1^x) - 2^2 = 4 * (32+1)* A -2^2 ( A is the exponential expression gained by expressing 33^x+1^x and for sure A is an integer!) = 4*33*A - 4 We have 4*33*A is divided by 11 so 4*33*A -4 divided by 11 has remainder of 7.

Let me elaborate some ,we are sure to have formula for a^x+b^x only when x is odd. Since the result of 1344452457 dividing by 5 must be an odd number ---> x is odd ----> the formula works here.

why is this the long way...i do it this way...its the simpilest and fastest way to do...basically with 2 you have to recognize that the remainder repeats every 5 counts...

duttsit wrote:

Good job lexi. 7 seems correct.

if we go the hard way of checking 2^n mod 11, we find remainders repeats after 10 counts.

so, 2^5 mod 11 is same as 2^15 mod 11 or 2^99995 mod 11

Did you guys all do this in under 1 min? Coz this is a 400+ question

this question is solved in under 1(0) second since the question asks "what is the reminder" and the reminder must be an odd integer because any power of 2 is even and any even integer divided by odd integer gives odd integer as reminder and there is no odd integer in the ACs. So it is D.

if there were only one odd integer given as answer in D, then it must also be D as OA.

You all guys went in wrong way because solving this question and finding the reminder when 2^x is divided by 11 is something different.

gsr wrote:

What is the remainder when 2^1344452457 is divided by 11? A) 4 B) 6 C) 8 D) None of the above (then what else? ) E) 12