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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: In the figure above, how many of the points on line segment [#permalink]
09 Sep 2013, 01:42

3

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

In the figure above, how many of the points on line segment PQ have coordinates that are both integers?

(A) 5 (B) 8 (C) 10 (D) 11 (E) 20

The equation of a straight line passing through points \(P(x_1, y_1)\) and \(Q(x_2, y_2)\) is: \(\frac{y-y_1}{x-x_1}=\frac{y_1-y_2}{x_1-x_2}\) (check here: math-coordinate-geometry-87652.html).

For P(0, 30) and Q(50, 0): \(\frac{y-30}{x-0}=\frac{30-0}{0-50}\) --> \(3x + 5y = 150\).

If x is a multiple of 5, then y will be an integer. x ranges from 0 to 50, inclusive. There are total of 11 multiples of 5 in this range: 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50.

Re: In the figure above, how many of the points on line segment [#permalink]
14 Oct 2013, 09:17

1

This post received KUDOS

First develope the equation of line with coordinates given:- Y = MX + C

When X =0, Y=30, putting the values in above equation of line gives the value of C 30 = C

When Y=0, X=30, putting the values in above equation of line gives the value of M M= - 3/5

The equation of Line is Y= (-3/5)X +30, Now from this equation it is clear that if we want to have both X and Y to be integers, then all values of X has to be multiple of 5, so starting from X=0 to X=50 (Coordinate limits of line PQ), we note that there are 11 integer values of X for which 11 integer values of Y exists in line PQ

Re: In the figure above, how many of the points on line segment [#permalink]
29 Jun 2015, 10:03

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. _________________

Hello everyone! Researching, networking, and understanding the “feel” for a school are all part of the essential journey to a top MBA. Wouldn’t it be great... ...

A lot of readers have asked me what benefits the Duke MBA has brought me. The MBA is a huge upfront investment and the opportunity cost is high. Most...

I have not posted in more than a month! It has been a super busy period, wrapping things up at Universal Music, completing most of the admin tasks in preparation for Stanford...