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lilu: Master | Next Rank: 500 Posts; Posts: 148; Joined: Wed Dec 10, 2008 5:13 pm; Location: SF, CA; Thanked: 12 times

by lilu » Thu Apr 09, 2009 8:28 pm

Please explain how to solve this question.
OA [spoiler]1/35[/spoiler]

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Source: Beat The GMAT — Problem Solving | Thu Apr 09, 2009 8:28 pm

Feep: 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.

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; 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.

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