GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2018, 16:18

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If 5x + 3y = 17, what is the value of x? (1) x is a positive integer

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50042
If 5x + 3y = 17, what is the value of x? (1) x is a positive integer  [#permalink]

Show Tags

New post 23 Sep 2018, 05:17
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

79% (00:40) correct 21% (00:53) wrong based on 48 sessions

HideShow timer Statistics

Manager
Manager
User avatar
B
Joined: 01 Jan 2018
Posts: 61
Re: If 5x + 3y = 17, what is the value of x? (1) x is a positive integer  [#permalink]

Show Tags

New post 23 Sep 2018, 05:21
From statement 1 we dont get any information about y hence not sufficient.
From statement 2 we can arrive at a unique value for x hence sufficient.
IMO B is the correct choice.
_________________

+1 Kudos if you find this post helpful

Intern
Intern
avatar
Joined: 23 Sep 2018
Posts: 3
Re: If 5x + 3y = 17, what is the value of x? (1) x is a positive integer  [#permalink]

Show Tags

New post 23 Sep 2018, 05:34
(1) No info about y. Insufficient.
(2) y = 4x then, 5x + 12x = 17 hence x=1. Sufficient.

B is the correct answer.
CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 3030
Location: Canada
Re: If 5x + 3y = 17, what is the value of x? (1) x is a positive integer  [#permalink]

Show Tags

New post 23 Sep 2018, 07:00
Top Contributor
Bunuel wrote:
5x + 3y = 17, what is the value of x?

(1) x is a positive integer
(2) y = 4x


Target question: What is the value of x?

Given: 5x + 3y = 17

Statement 1: x is a positive integer
Let's TEST some values.
There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 1 and y = 4 (these values satisfy the given equation, 5x + 3y = 17). In this case, the answer to the target question is x = 1
Case b: x = 2 and y = 7/3 (these values satisfy the given equation, 5x + 3y = 17). In this case, the answer to the target question is x = 2
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: y = 4x
When we add this equation to the given equation 5x + 3y = 17, we have a system of two linear equations with 2 variables. Since we COULD solve that system for x and y, we COULD answer the target question with certainty.
So, statement 2 is SUFFICIENT

If you're not convinced, take 5x + 3y = 17 and replace y with 4x to get: 5x + 3(4x) = 17
Expand: 5x + 12x = 17
Simplify: 17x = 17
Solve: x = 1
So, the answer to the target question is x = 1
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

GMAT Club Bot
Re: If 5x + 3y = 17, what is the value of x? (1) x is a positive integer &nbs [#permalink] 23 Sep 2018, 07:00
Display posts from previous: Sort by

If 5x + 3y = 17, what is the value of x? (1) x is a positive integer

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.