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Sure. Let’s see if @bunuel or @chetan2u have ideas

remainders-144665.html example 8 is similar and uses binomial distribution

We can use Fermat’s Theorem here which says
Rem [a^(p-1)/p] = 1 where p is a prime number
=> Rem [2^88/89] = 1
=> Rem [2^89/89] = Rem [2^88/89] * Rem [2/89] = 1*2 = 2

This is what I found online

Nice! I don’t think This is tested on the GMAT. You don’t have to know this.

bb,
There are various formulas when it comes to remainder:, Fermat’s remainder theorem, Chinese remainder theorem. Luckily, GMAT doesn’t test them.

Having said that, I believe remainder questions can almost always be solved with pattern. If a question can be answered through a formula, I am sure it must be following some pattern.

Here too it should be the case:
2^1:2,
2^2: 4,
2^3: 8,
2^4: 16,
2^5: 32,
2^6: 64,
2^7: 128 or 128-89 or 39,
2^8: 39*2 or 78
2^9: 78*2-89 or 156-89 or 67
2^10: 67*2-89 or 134-89 or 45
2^11: 45*2 or 90-89 or 1
2^12: 1*2 or 2
So, we are repeating the remainders now and there are 11 different remainders in a pattern.
89=11*8+1
So, 2^89 will have same remainder as 2^1 or 2.

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Yes, the question is out of scope for the GMAT. You can solve it either by binomial expansion or using Fermat's Little Theorem (if p is a prime number, then for any integer a, a^p – a will be a multiple of p). Since 89 is prime, then 2^89 - 2 is a multiple of 89. Thus, 2^89 is 2 more than a multiple of 89, making the remainder equal to 2.

Having said that, you absolutely don't need this for the GMAT and you can ignore the above altogether.

has anyone opted for gmat intensive classes by Anish and CJ

Are we expecting any new questions if the New GMAT focus prep comes up next month?

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Ya..I have

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Hi all. I’ve been studying for the GMAT Focus Edition for a couple of months now and feel as though I’m running out of material to assess my understanding. I have seen varying reviews about non-official sources and want to make sure the material I am using for the exam is as like for like as possible to the real exam. I’ve been using the GMAT Focus Edition Official guides, the GMAT Club Mock and the GMAT Focus Edition Official Mocks, I’m coming to my last 2 final Official Focus Editions Mocks. Could anyone advise any other material that would be good to use? I’d preferably like to save my official mock exams till when I’m ready for the exam to give a true reflection of my understanding and where I am it before sitting the exam. Any advice/help would be greatly appreciated.

Hi, even I am using the exact same resources for my prep. Plus forum quiz on the gmat Club. It has a vast pool of Official questions that can be taken in the form of quiz. Hope this helps!

Just out of curiosity.. wat are ur official mock scores like?

I started off with a 635 on a mock Hult exam, then on the official mock exams I’ve had the following: 665, 715, 735 and 715


I thought of doing that too, but do you feel that some questions are formatted/asked differently to as they would be on the official mocks? I’ve seen reviews of some being harder than they would be on the exam etc.


how about yourself?