Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 07 May 2015, 01:42

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If m and r are two numbers on a number line, what is the

Author Message
TAGS:
Manager
Joined: 17 Jan 2006
Posts: 92
Followers: 1

Kudos [?]: 3 [0], given: 0

If m and r are two numbers on a number line, what is the [#permalink]  03 Jun 2006, 22:23
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.
Manager
Joined: 29 Apr 2006
Posts: 85
Followers: 1

Kudos [?]: 11 [0], given: 0

Edit!
Sorry, Didn't read the question right. It should be C.

Let distance between O and m be d.
m/r = d/3d
r=3m

Now from ii, r-m=12
3m-m =12
m = 6 and r=36.
Intern
Joined: 05 Apr 2006
Posts: 36
Followers: 0

Kudos [?]: 1 [0], given: 0

E .

first tells r= 3m or r = -3m ,distance has no sign
second tells m + r = 24

hence there are more than one solutoion.
(6, 18 ) and (-12 , 36)
Intern
Joined: 04 May 2006
Posts: 49
Followers: 0

Kudos [?]: 0 [0], given: 0

E it is..
Excellent explanation guptaraja..

_________________

If A equals success, then the formula is: A = X + Y + Z, X is work. Y is play. Z is keep your mouth shut.
Albert Einstein

Manager
Joined: 12 Apr 2006
Posts: 218
Location: India
Followers: 1

Kudos [?]: 24 [0], given: 17

I think it should be C as distance can never be negative.

e.g say M is at -3 then the distance from O is 0-(-3) = 3

or if it M is +ve 3 then the distance is 3-0 = 3

What is the OA
SVP
Joined: 01 May 2006
Posts: 1805
Followers: 8

Kudos [?]: 99 [0], given: 0

(E) by the same way that guptaraja uses

1) |r| = 3*|m|
r=3*m
or
r=-3*m

2) 12 = (r+m)/2
<=> r+m = 24

There are 2 solutions by combining (1) and (2).
Director
Joined: 17 Sep 2005
Posts: 930
Followers: 3

Kudos [?]: 38 [0], given: 0

Edit!
Sorry, Didn't read the question right. It should be C.

Let distance between O and m be d.
m/r = d/3d
r=3m

Now from ii, r-m=12
3m-m =12
m = 6 and r=36 ????.

Since distance can not be negative, r = 18.

Regards,
Brajesh
SVP
Joined: 01 May 2006
Posts: 1805
Followers: 8

Kudos [?]: 99 [0], given: 0

The problem is speaking about 2 numbers r and m on a number line: so they can be poisitive or negative.
Manager
Joined: 19 Apr 2006
Posts: 231
Followers: 1

Kudos [?]: 1 [0], given: 0

what is the OA?

Manager
Joined: 12 Apr 2006
Posts: 218
Location: India
Followers: 1

Kudos [?]: 24 [0], given: 17

Fig wrote:
The problem is speaking about 2 numbers r and m on a number line: so they can be poisitive or negative.

Numbers can be +ve and -ve but not the distance.

The question says

(1) The distance between r and 0 is 3 times the distance between m and 0.
SVP
Joined: 01 May 2006
Posts: 1805
Followers: 8

Kudos [?]: 99 [0], given: 0

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.
Manager
Joined: 12 Apr 2006
Posts: 218
Location: India
Followers: 1

Kudos [?]: 24 [0], given: 17

Fig wrote:
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"
SVP
Joined: 01 May 2006
Posts: 1805
Followers: 8

Kudos [?]: 99 [0], given: 0

humans wrote:
Fig wrote:
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.

What is OA?
VP
Joined: 21 Sep 2003
Posts: 1066
Location: USA
Followers: 3

Kudos [?]: 39 [0], given: 0

Great discussion and a good question.

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."

- Bernard Edmonds

SVP
Joined: 03 Jan 2005
Posts: 2250
Followers: 13

Kudos [?]: 217 [0], given: 0

Agree with E. Two solutions with combined. (6,18) and (-12, 36).
_________________

Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.

Manager
Joined: 12 Apr 2006
Posts: 218
Location: India
Followers: 1

Kudos [?]: 24 [0], given: 17

Fig, that was simply awesome. Many Many thanks for the explanation and bearing with me

I know you can understand what will happen if a person who always used to fail in his high school will touch it after 13 long years.

Once again thanks for the explanation.
SVP
Joined: 01 May 2006
Posts: 1805
Followers: 8

Kudos [?]: 99 [0], given: 0

Humans, take it easy .... I'm the first to do mistake

Have a nice day
Similar topics Replies Last post
Similar
Topics:
If m and r are two numbers on a number line, what is the 1 09 Mar 2007, 23:44
If m and r are two number on a number line, what is the 7 28 Oct 2006, 14:27
If m and r are two numbers on a number line, what is the 13 05 May 2006, 23:57
If m and r are two numbers on a number line, what is the 6 30 Jan 2006, 22:45
If m and r are two numbers on a number line, what is the 4 18 Dec 2005, 16:58
Display posts from previous: Sort by