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GMAT Data Sufficiency Question 21: Algebraic inequalities

August 25, 2021 Leave a Comment

 
The following GMAT data sufficiency question tests your understanding of algebraic inequalities with two unknowns.

Question 21:

Is $ab+2>a+2b$ ?

  1. (1) $a>2$
  2. (2) $b<-1$
  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 20: Prime factorization and divisibility

August 16, 2021 Leave a Comment

 
The following GMAT Problem Solving question tests your understanding of prime factorization and divisibility concepts that are tested on the GMAT.

Question 20:

If $252$ and $1176$ are factors of $n$, then which of the following could be the value of $n$ ?

  1. $2^{3} \cdot 3^{2} \cdot 7^{2}$
  2. $2^{6} \cdot 3^{1} \cdot 7^{2}$
  3. $2^{5} \cdot 3^{3} \cdot 7^{3}$
  1. $\quad \textrm{I only}$
  2. $\quad \textrm{III only}$
  3. $\quad \textrm{I and III only}$
  4. $\quad \textrm{II and III only}$
  5. $\quad \textrm{I, II, and III}$

Choice C

Video Explanation

 

Filed Under: GMAT Practice Questions

GMAT Data Sufficiency Question 19: Equations with integer solutions

August 9, 2021 Leave a Comment

 
The following GMAT data sufficiency question tests your understanding of how to deal with linear equations with two unknowns where the variables are constrained to be integer values.

Question 19:

A bag contains $\$2.90$ with a mix of quarters ($25$ cents) and dimes ($10$ cents). How many dimes are in the bag?

  1. (1) There are fewer dimes than quarters in the bag.
  2. (2) There are $6$ more quarters than dimes in the bag.
  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 18: Algebraic identities

August 2, 2021 Leave a Comment

 
The following GMAT Problem Solving question tests your understanding of how to simplify expressions using algebraic identities that are commonly tested on the GMAT.

Question 18:

$\dfrac{(18x^2-8y^2)(3x-2y)}{9x^2+4y^2-12xy}=$

  1. $\quad 3x+2y$
  2. $\quad 6x-4y$
  3. $\quad 6x+4y$
  4. $\quad 18x-8y$
  5. $\quad 18x+8y$

Choice C

Video Explanation

 

Filed Under: GMAT Practice Questions

GMAT Problem Solving Question 17: Counting and Probability

July 26, 2021 Leave a Comment

 
The following GMAT Problem Solving question tests your understanding of how to approach counting and probability questions that are tested on the GMAT.

Question 17:

A basket contains $5$ red balls and $3$ green balls. If $3$ balls are selected from the basket simultaneously, what is the probability that at least one of the $3$ balls selected will be green?

  1. $\quad \dfrac{5}{7}$
  2. $\quad \dfrac{3}{4}$
  3. $\quad \dfrac{11}{14}$
  4. $\quad \dfrac{23}{28}$
  5. $\quad \dfrac{7}{8}$

Choice D

Video Explanation

 

Filed Under: GMAT Practice Questions

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