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GMAT Data Sufficiency Question 05: Arithmetic mean

December 11, 2020 Leave a Comment

 
The following GMAT data sufficiency question tests your understanding of average (arithmetic mean) in the context of being able to manipulate algebraic expressions and observe patterns.

Question 5:

What is the average (arithmetic mean) of $x$, $y$, and $z$ ?

  1. (1) The average of $2x-5$, $2y-5$, $2z-5$ is $25$.
  2. (2) The average of $2x-y$, $4y+3z$, and $x+9$ is $48$.
  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 D


Video Explanation

 

Filed Under: GMAT Practice Questions

GMAT Problem Solving Question 04: Factorial Arithmetic

December 3, 2020 Leave a Comment

 
The following GMAT Problem Solving question tests your understanding of how to simplify arithmetic expressions that use factorials.

Question 4:

$$\dfrac{(48!)(22!)(10!)(8!)}{(50!)(20!)(12!)(6!)}=$$

  1. $\quad \dfrac{2}{25}$
  2. $\quad \dfrac{3}{20}$
  3. $\quad \dfrac{5}{18}$
  4. $\quad \dfrac{6}{17}$
  5. $\quad \dfrac{7}{15}$

Choice A

 

Video Explanation

Filed Under: GMAT Practice Questions

GMAT Problem Solving Question 03: Distance/rate/time

August 11, 2020 Leave a Comment

 
The following GMAT Problem Solving question tests your understanding of how to deal with distance/rate/time questions.

Question 3:

Train $A$ and $B$, $455$ miles apart, are traveling towards each other on parallel tracks at constant rates and in the same time zone. If train $A$ left at $4$ pm traveling at a speed of $60$ miles per hour, and train $B$ left at $5:45$ pm traveling at $45$ miles per hour, then at what time would they pass each other?

  1. $\quad 7:20 \; \textrm{pm}$
  2. $\quad 8:55 \; \textrm{pm}$
  3. $\quad 9:05 \; \textrm{pm}$
  4. $\quad 9:20 \; \textrm{pm}$
  5. $\quad 9:25 \; \textrm{pm}$

Choice C

 

Filed Under: GMAT Practice Questions

GMAT Problem Solving Question 02: Identities and simplifying computation

July 29, 2020 Leave a Comment

 
The following GMAT Problem Solving question tests your understanding of identifying identities and then applying them to simplify the computational effort.

Question 2:

$\dfrac{0.1001}{(-1.002)^2 – 1}=$

  1. $\quad 0.025$
  2. $\quad 0.25$
  3. $\quad 2.5$
  4. $\quad 25$
  5. $\quad 250$

Choice D

Video explanation

 

Filed Under: GMAT Practice Questions

GMAT data sufficiency strategy: Algebraic inequalities and cross-multiplication

July 9, 2020 Leave a Comment

 
In this GMAT data sufficiency strategy lesson, I illustrate why you should not cross-multiply the terms in an algebraic inequality. In general, it is best to move all of the terms in an inequality to one side, simplify, and then tackle the additional information given in the statements.

Data Sufficiency Strategy Lesson

 

Filed Under: GMAT Strategy

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