Last visit was: 15 Jul 2024, 13:15 It is currently 15 Jul 2024, 13:15
Toolkit
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

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.

# If (5x + 11) is a positive integer, for how many integer values of x

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94354
Own Kudos [?]: 641100 [7]
Given Kudos: 85011
SVP
Joined: 27 May 2012
Posts: 1696
Own Kudos [?]: 1492 [0]
Given Kudos: 639
Intern
Joined: 02 Feb 2021
Posts: 37
Own Kudos [?]: 27 [0]
Given Kudos: 21
SVP
Joined: 27 May 2012
Posts: 1696
Own Kudos [?]: 1492 [0]
Given Kudos: 639
Re: If (5x + 11) is a positive integer, for how many integer values of x [#permalink]
Calculate 5x + 11 < 300

--> x < 57,8

and since x is an int, x<57.

You could be tempted to click on (B); however, we want to know for how many values the positive expression (5x + 11) will be < 300.

x could be also 0,-1 and -2, since all these values still make a positive expression of (5x + 11) and are less than 300.

So: Answer is (E) 60 values.
Best regards

Your soln. is correct but if I may point out just a small oversight.

Note $$x \leq 57$$ not just $$x<57$$ we need to include $$57.$$
Non-Human User
Joined: 09 Sep 2013
Posts: 33980
Own Kudos [?]: 851 [0]
Given Kudos: 0
Re: If (5x + 11) is a positive integer, for how many integer values of x [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: If (5x + 11) is a positive integer, for how many integer values of x [#permalink]
Moderator:
Math Expert
94354 posts