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GMAT Problem Solving Question 13: Geometric sequence

June 12, 2021 Leave a Comment

 
The following GMAT Problem Solving question tests your understanding of how to add up a finite set of terms that form a geometric sequence.

Question 13:

$\dfrac{3(4^5 + 4^6+4^7+4^8+4^9+4^{10})}{2^5+2^6+2^7+2^8+2^9+2^{10}}=$

  1. $\quad 2^{10}+2^{5}$
  2. $\quad 2^{10}+2^6$
  3. $\quad 2^{11}+2^{5}$
  4. $\quad 2^{11}+2^{6}$
  5. $\quad 2^{16}$

Choice C

Video Explanation

 

Filed Under: GMAT Practice Questions

Video review of 2022 GMAT Official Guides

May 3, 2021 5 Comments

 
My video review of the recently released GMAT Official Guide 2022 and GMAT Official Quantitative Review 2022.

 

Filed Under: Official GMAT Guides

Review of GMAT Official Guide 2022

April 27, 2021 Leave a Comment

 
Here is a brief review of the recently released GMAT Official Guide 2022 and GMAT Official Quantitative Review 2022.

  • 2022 Official GMAT guides have been released in eBook format and can be purchased from Wiley.
  • There are no changes to the quantitative reasoning questions in the GMAT Official Guide 2022 and GMAT Quantitative Review 2022 when compared to the 2021 guides. Save your money and buy the older guides.
  • The difficulty levels of the questions in the GMAT Official Guide 2022 have been newly categorized as follows: Problem Solving [Easy (1 to 99), Medium (100 to 167), Difficult (168 to 262)]; Data Sufficiency [Easy (263 to 348), Medium (349 to 426), Difficult (427 to 502)].
  • The math review in the beginning of the guide has been extended and updated. A set of 25 additional quantitative reasoning practice questions have been added, and most of them are taken from the older Official GMAT guides.

Filed Under: Official GMAT Guides

GMAT Problem Solving Question 12: Function properties

April 26, 2021 Leave a Comment

 
The following GMAT Problem Solving question tests your understanding of properties of functions.

Question 12:

Which of the following functions $f$ satisfies the condition $f(x+y) = f(x) \cdot f(y)$ for all non-zero values of $x$ and $y$?

  1. $\quad f(x)=\dfrac{1}{x}$
  2. $\quad f(x)=3^{-2x}$
  3. $\quad f(x)=-x$
  4. $\quad f(x)=\sqrt{x}$
  5. $\quad f(x)=x^2-x$

Choice B

Video Explanation

 

Filed Under: GMAT Practice Questions

GMAT Problem Solving Question 11: Exponents

April 18, 2021 Leave a Comment

 
The following GMAT Problem Solving question tests your ability to manipulate exponents.

Question 11:

If $m=2^{16}$ and $n=2^{8}$, then which of the following is equivalent to $m^n$ ?

  1. $2^{(2^{12})}$
  2. $4^{(2^{11})}$
  3. $4^{(2^{12})}$
  1. $\quad \textrm{None}$
  2. $\quad \textrm{I only}$
  3. $\quad \textrm{II only}$
  4. $\quad \textrm{I and II only}$
  5. $\quad \textrm{I and III only}$

Choice D


Video Explanation

 

Filed Under: GMAT Practice Questions

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