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 500,000 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:

If m and r are two numbers on a number line, what is the [#permalink]
03 Jun 2006, 22:23

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If m and r are two numbers on a number line, what is the value of r?
(1) The distance between r and 0 is 3 times the distance between m and 0.
(2) 12 is halfway between m and r.

humans, I noticed that i was not enough accurate on my second post .... after mid night reply ?

We look for r and m which are real numbers (+ or -) not distances (only +).

(1) gives us an equation with absolute values of r and m (distance).

Thus, (E) because we stay with 2 possible solutions with (1) and (2) used together.

Sorry Fig, But I still doesn't agree with you

You are absolutely right that we are looking for real number in the question which can be positive or negative.

But with statement 1 the equation is always going to be +ve and not absolute value as it is describing the distance.

e.g say if you have to calculate distance between points O and S which are at 0 cm and -7 cm on number line you are going to say the distance from O to S is 7 cm and not -7 cm.

Furthermore when solving both the equations it gives m = 6 and r = 18 which in turns authenticate the statement which says "12 is halfway between m and r"

humans, I noticed that i was not enough accurate on my second post .... after mid night reply ?

We look for r and m which are real numbers (+ or -) not distances (only +).

(1) gives us an equation with absolute values of r and m (distance).

Thus, (E) because we stay with 2 possible solutions with (1) and (2) used together.

Sorry Fig, But I still doesn't agree with you

You are absolutely right that we are looking for real number in the question which can be positive or negative.

But with statement 1 the equation is always going to be +ve and not absolute value as it is describing the distance.

e.g say if you have to calculate distance between points O and S which are at 0 cm and -7 cm on number line you are going to say the distance from O to S is 7 cm and not -7 cm.

Furthermore when solving both the equations it gives m = 6 and r = 18 which in turns authenticate the statement which says "12 is halfway between m and r"

In bold, this is the point .

Either S=7cm or S=-7cm, OS=SO=7=|0-S|=|S-0|.
thus, |r-0|=3*|m-0| and we cannot say r > 0 and m > 0.

From 1. |r| = 3*|m| -- INSUFF - many values satisfy this condition
From 2. (r+m)/2 = 12 -- Similarly INSUFF

|r| = 3*|m| means there are two possibilities
a) r = 3*m
b) -r = 3*m

Using (2) -- (r+m)/2 = 12 and (a) & (b) we get two values for r and m
(r,m) = (6,12) or (-12,36).
I would pick E too. _________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."