GMATPrep Number line

This topic has expert replies
Source: — Problem Solving |

Senior | Next Rank: 100 Posts
Posts: 69
Joined: Wed Mar 04, 2009 4:15 pm
Thanked: 17 times
GMAT Score:780

by Feep » Thu Apr 09, 2009 9:19 pm
I believe this to be one of those questions where it's best just to throw elegant solutions to the curb.

That number line is drawn accurately. Why wouldn't it be? We can see that the two candidates are near 2/5 and 3/5, which are close to 3/7 and 4/7, respectively.

3/7 - 2/5 = 15/35 - 14/35 = 1/35.

3/5 - 4/7 = 21/35 - 20/35 = 1/35.

Well, they're the same! But they're still the closest.
I tutor GMAT/GRE level mathematics privately in the Los Angeles region, as well as via Skype for a discounted rate. Send me a message if you're interested.

User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Mon Apr 13, 2009 3:30 am
We witness the following order on number line:

1/7 < 1/5 < 2/7 < 2/5 < 3/7 < 4/7 < 3/5 < 5/7 < 4/5 < 6/7; and on a number line that is drawn to support the detailing, we can afford to eye-ball the possibilities. The following pairs seem to be among closests:

2/5 < 3/7 and 4/7 < 3/5 each has 1/35 of space in between.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com