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You are here: Home / Archives for GMAT Practice Questions

GMAT Quantitative Reasoning Question 67: Simplifying Radical Terms

December 5, 2023 Leave a Comment

 
Try the following GMAT Quantitative Reasoning question on manipulating and simplifying expressions with radical terms.
Question 67:

$\dfrac{(\sqrt{2})(\sqrt{5})}{(\sqrt{7}-\sqrt{2}-\sqrt{5})(\sqrt{7}+\sqrt{2}+\sqrt{5})}=$

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

Choice C

Video Explanation

 

Filed Under: GMAT Practice Questions

GMAT Quantitative Reasoning Question 65: Exponents

November 14, 2023 Leave a Comment

Try the following GMAT Quantitative Reasoning question on manipulating exponent expressions.

Question 65:

Suppose that $4^{x_1}=5$, $5^{x_2}=6$, $6^{x_3}=7$, $\ldots$ , $127^{x_{124}} = 128$. What is $x_1 x_2 \cdots x_{124}$ ?

  1. $\quad 2$
  2. $\quad \dfrac{5}{2}$
  3. $\quad 3$
  4. $\quad \dfrac{7}{2}$
  5. $\quad 4$

Choice D

Video Explanation

 

Filed Under: GMAT Practice Questions

GMAT Problem Solving Question 64: Statistics

October 10, 2023 Leave a Comment

 
Try the following GMAT Problem Solving question on statistics that requires being able to find the sum and average of a set of numbers when the values in the list are changed.

Question 64:

A set of $n$ numbers has the sum $s$. Each number of the set is increased by $20$, then multiplied by $5$, and then decreased by $20$. The sum of the numbers in the new set thus obtained is:

  1. $\quad s+20n$
  2. $\quad 5s+80n$
  3. $\quad s$
  4. $\quad 5s$
  5. $\quad 5s+4n$

Choice B

Video Explanation

 

Filed Under: GMAT Practice Questions

GMAT Problem Solving Question 62: Maximum value

September 15, 2023 Leave a Comment

 
Try the following GMAT Problem Solving question on finding the maximum value of a quadratic algebraic expression.

Question 62:

For any real value of $x$ the maximum value of $8x-3x^2$ is:

  1. $\quad 0$
  2. $\quad \dfrac{8}{3}$
  3. $\quad 4$
  4. $\quad 5$
  5. $\quad \dfrac{16}{3}$

Choice E

Video Explanation

 

Filed Under: GMAT Practice Questions

GMAT Problem Solving Question 58: Algebraic Inequalities

August 14, 2023 Leave a Comment

 
Try the following GMAT Problem Solving question that tests your understanding of algebraic inequalities with three variables.

Question 58:

Which of the following must be true ?

  1. If $xy < xz$, then $y < z$.
  2. If $x^2y < x^2 z$, then $y < z$.
  3. If $x-y < x-z$, then $z < y$.
  1. $\quad \textrm{None}$
  2. $\quad \textrm{I and II only}$
  3. $\quad \textrm{II and III only}$
  4. $\quad \textrm{I and III only}$
  5. $\quad \textrm{I, II, and III}$

Choice C

Video Explanation

 

Filed Under: GMAT Practice Questions

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