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.
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
16 Sep 2014, 00:28
Kudos
Bookmarks
If \(x\) and \(y\) are integers and \(x=\frac{y}{5}+2\), is \(xy\) an even number?
(1) \(5x - 10\) is an even number
(2) \(\frac{y}{x}\) is an even number
(1) \(5x - 10\) is an even number
(2) \(\frac{y}{x}\) is an even number
16 Sep 2014, 00:28
Kudos
Bookmarks
Official Solution:
If \(x\) and \(y\) are integers and \(x=\frac{y}{5}+2\), is \(xy\) an even number?
First, from the equation \(x=\frac{y}{5}+2\), we derive that \(y=5x-10\). Next, since \(x\) and \(y\) are integers, the product \(xy\) will be even if at least one of the factors is even. Therefore, the question essentially asks whether at least one of the unknowns, \(x\) or \(y\), is even.
(1) \(5x - 10\) is an even number.
Since \(y=5x-10\), then \(y=5x-10=\text{even}\). Sufficient.
(2) \(\frac{y}{x}\) is an even number.
Given: \(\frac{y}{x}=\text{even}\), so \(y=x*\text{even}=\text{even}\). Sufficient.
Answer: D
If \(x\) and \(y\) are integers and \(x=\frac{y}{5}+2\), is \(xy\) an even number?
First, from the equation \(x=\frac{y}{5}+2\), we derive that \(y=5x-10\). Next, since \(x\) and \(y\) are integers, the product \(xy\) will be even if at least one of the factors is even. Therefore, the question essentially asks whether at least one of the unknowns, \(x\) or \(y\), is even.
(1) \(5x - 10\) is an even number.
Since \(y=5x-10\), then \(y=5x-10=\text{even}\). Sufficient.
(2) \(\frac{y}{x}\) is an even number.
Given: \(\frac{y}{x}=\text{even}\), so \(y=x*\text{even}=\text{even}\). Sufficient.
Answer: D
General Discussion
16 Dec 2016, 04:12
Kudos
Bookmarks
Bunuel
Hi Bunuel,
What happens if x is 0?
