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Problem Solving Butler: June 2024
June 10PS 1PS 2
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Bunuel
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No, that’s not correct. (-2)^m would equal (-1)(2^m) if m is odd. Next, 2^(3m)(-1) = 2^9 does not equal to what you’ve written and that equation does not have real solution.

Here is a proper GMAT question similar to that example: if-m-is-an-integer-such-that-2-2m-2-9-m-then-m-168777.html

P.S. Initial equation, (-2)^m = 2^(9 - 2m) , also does not have real solution.
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Hi
What’s an efficient 2 weeks before the test strategy
There are numerous question banks on this forum, can anyone please point out the best one for Quant, Verbal and DI
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Hi
What’s an efficient 2 weeks before the test strategy
There are numerous question banks on this forum, can anyone please point out the best one for Quant, Verbal and DI
Do only official questions. Filter the difficulty level according to your score goal.

For verbal CR you can also try LSAT if you’ve finished the official GMAT questions
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Thanks f for the daily updates
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https://gmatclub.com/forum/there-is-a-sequence-an-for-a-positive-integer-such-that-a3-a1-a2-a4-232117.html Hi! In this question When I am putting n=1, I am getting answer as 2p. But for values greater than 1, I am getting answer as 4p. Can anybody help?
­Hey!

I'm a new "expert" to this site looking to help students.  Hopefully, I can help you.

The following is the optimal approach.

(Although there are multiple ways to solve a problem, it's important to use the fastest given that time is such a big factor on the GMAT.  If you end up using a slow method, it's almost as bad as getting the question wrong because you end up wasting time.)

When you approach sequence problems, the key is usually to figure out how the sequence changes at each step (aka the pattern).  The first thing to test for is simple addition or subtraction.  The 2nd thing is to see if each changes by a multiplication or division.  If it's not one of these, you would need to look for hints on what it could be.  It could be anything!

In this specific question, you're not given actual numbers, so the best thing is to input some simple numbers so you can identify a pattern.  I would start with 1.  The sequence would then be 1, 2, 3, 6, 12..

As you write down the numbers, you should notice that every term doubles the last.  Why?  It doubles because the previous term was the sum of everything that came before it.  So, when you add those 2 together, you're effectively doubling the previous term.

As a result, if a(n) = p, then a(n+1) = 2p and a(n+2) = 4p.

--------

However, you inquired about why you couldn't solve the problem when a(1)=p.

The thing about sequences is that the formula frequently doesn't apply to the first few terms.  This is because you need a few terms to "start" the sequence.

As a result, notice how they define a(n) = a(1) + a(2)...  This means that a(n) can't be a(1) or a(2).

---------

The key to doing well on the GMAT is not necessarily getting the right answer.  It's about using the right method as this will, in turn, help you get the right answer in the fastest time.

So try using the approach that I suggested when doing sequences.  Do a few more sequence problems, so you build up "muscle" memory.

Also, you should review the formulas for sum of an arithmetic and geometric progression.  You don't need to memorize it, but you should know how they generally work.­
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What’s wrong in this?
why are you dividing by 16?
I believe you should divide by 2^3=8 bc in 12 hours it will double thrice as it takes 4 hours to double once

Can anyone help me to differentiate between when we multiple probabilities and when to add them, the sources online give very techy answer about some multiplication rule/ addition rule. I would appreciate an intituitive approach
­What I find really helps establish a good foundation for probabilities and permutations/combinations is to create a tree diagram.  It's very tedious, but I think it's very worthwhile to write down all the possible combinations when you flip a coin 3 times.  If you spend 15 minutes doing this, you start to see how everything works fundamentally.  I force my students to do this.

Others are correct that you multiply when two events happen together ("add") and you add when 2 events occur separately ("or").  It's good to memorize this, but it's also good to understand this conceptually.  If you draw a tree diagram, you'll see why you multiply and add.

Good luck.
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Data Sufficiency Butler: June 2024
June 11DS 1DS 2
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Problem Solving Butler: June 2024
June 11PS 1PS 2
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Where does this formula come from?
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its like compound interest equation.
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So I got a question, lets say x is decreased by 10% then again decreased by 10%. Now it is increased by 20%.
Is the value of x gonna be,
X* 0.9^2* 1.2?
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What is the difficulty level of this question above?
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PrabhatKC
Where does this formula come from?
I think it is a 555-565 range question
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GMAT motivation week 1:

Focus on you, until the focus is on you
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krish13ts
What is the difficulty level of this question above?
That question is discussed here: increasing-the-original-price-of-an-article-by-15-percent-127086.html

The difficulty level is 505-555 Level (easy)
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Hi can anyone let me know how is 675 GMAT Focus score for Columbia Business School? Indian applicant.
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