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GMAT Problem Solving Question 16: Identities and exponents

July 19, 2021 Leave a Comment

 
The following GMAT Problem Solving question tests your understanding of how to recognize algebraic identities and to manipulate exponent terms.

Question 16:

If $8^{2x}+8^{x}=0.75$, then $x=$

  1. $\quad -\dfrac{1}{4}$
  2. $\quad -\dfrac{1}{3}$
  3. $\quad -\dfrac{1}{2}$
  4. $\quad -\dfrac{2}{3}$
  5. $\quad -\dfrac{3}{4}$

Choice B

Video Explanation

 

Filed Under: GMAT Practice Questions

GMAT Problem Solving Question 15: Exponents

July 12, 2021 Leave a Comment

 
The following GMAT Problem Solving question tests your understanding of how to apply exponent rules.

Question 15:

If $x=27^{27}$ and $x^{x}=3^{y}$, then $y=$?

  1. $\quad 3^{81}$
  2. $\quad 3^{83}$
  3. $\quad 3^{85}$
  4. $\quad 3^{87}$
  5. $\quad 3^{89}$

Choice C

Video Explanation

 

Filed Under: GMAT Practice Questions

GMAT Data Sufficiency Question 14: Remainders

June 29, 2021 Leave a Comment

 
The following GMAT data sufficiency question tests your understanding of how to deal with remainder questions in the context of GMAT data sufficiency.

Question 14:

What is the remainder when the positive integer $n$ is divided by $30?$

  1. (1) The remainder when $n$ is divided by $15$ is $7$.
  2. (2) The remainder when $n$ is divided by $12$ is $4$.
  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  4. EACH statement ALONE is sufficient.
  5. Statements (1) and (2) TOGETHER are NOT sufficient.

Choice C


Video Explanation

 

Filed Under: GMAT Practice Questions

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

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