Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
12 Feb 2025, 06:44
Kudos
Bookmarks
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
100% (01:03) correct
0% (00:00) wrong based on 1 sessions
History
Date
Time
Result
Not Attempted Yet
15 Feb 2025, 04:28
Kudos
Bookmarks
OE
Since \(2 < x < 4\), test values between 2 and 4 in both quantities to seewhich quantity is larger for each example. On Quantitative Comparison questions, try to prove (D), or at least test whether it’s possible.
If \(x = 2.5\), Quantity \(A=\frac{2.5-3}{-2.5}=\frac{-0.5}{-2.5}=\frac{5}{25}=\frac{1}{5}\) and Quantity \(B=\frac{3-2.5}{-2.5}=\frac{0.5}{-2.5}=\frac{-5}{25}=\frac{-1}{5}\). In this case, Quantity A is greater.
Before just randomly trying other values between 2 and 4, try to strategize: is there an example in which Quantity B is greater? Since the two quantities have the same denominator, focus on the numerators. \(x – 3\) is positive when \(x > 3\) and negative when \(x < 3\). Since the first number tested was less than 3, next try something greater than 3.
If \(x = 3.5\), Quantity \(A=\frac{3.5-3}{-3.5}=\frac{0.5}{-3.5}=\frac{-5}{35}=\frac{-1}{7}\) and Quantity \(B=\frac{3-x}{-x}=\frac{3-3.5}{-3.5}=\frac{-0.5}{-3.5}=\frac{5}{35}=\frac{1}{7}\). In this case, Quantity B is greater. (Note: you could have stopped calculating the exact values of Quantity A and Quantity B for this example once it became clear that Quantity A was negative and Quantity B was positive.)
Alternatively, it would also be strategic to think about what number, if any, could make the two quantities equal. If \(x = 3\), Quantity A = Quantity B = 0, because both numerators will be 0, and 0 divided by any non-zero number is just 0.
Since Quantity A is greater than Quantity B for some values of x between 2 and 4, but Quantity B is greater than Quantity A for other values of x between 2 and 4, the relationship cannot be determined from the information given.
Answer: D
Since \(2 < x < 4\), test values between 2 and 4 in both quantities to seewhich quantity is larger for each example. On Quantitative Comparison questions, try to prove (D), or at least test whether it’s possible.
If \(x = 2.5\), Quantity \(A=\frac{2.5-3}{-2.5}=\frac{-0.5}{-2.5}=\frac{5}{25}=\frac{1}{5}\) and Quantity \(B=\frac{3-2.5}{-2.5}=\frac{0.5}{-2.5}=\frac{-5}{25}=\frac{-1}{5}\). In this case, Quantity A is greater.
Before just randomly trying other values between 2 and 4, try to strategize: is there an example in which Quantity B is greater? Since the two quantities have the same denominator, focus on the numerators. \(x – 3\) is positive when \(x > 3\) and negative when \(x < 3\). Since the first number tested was less than 3, next try something greater than 3.
If \(x = 3.5\), Quantity \(A=\frac{3.5-3}{-3.5}=\frac{0.5}{-3.5}=\frac{-5}{35}=\frac{-1}{7}\) and Quantity \(B=\frac{3-x}{-x}=\frac{3-3.5}{-3.5}=\frac{-0.5}{-3.5}=\frac{5}{35}=\frac{1}{7}\). In this case, Quantity B is greater. (Note: you could have stopped calculating the exact values of Quantity A and Quantity B for this example once it became clear that Quantity A was negative and Quantity B was positive.)
Alternatively, it would also be strategic to think about what number, if any, could make the two quantities equal. If \(x = 3\), Quantity A = Quantity B = 0, because both numerators will be 0, and 0 divided by any non-zero number is just 0.
Since Quantity A is greater than Quantity B for some values of x between 2 and 4, but Quantity B is greater than Quantity A for other values of x between 2 and 4, the relationship cannot be determined from the information given.
Answer: D
