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pradeepkaushal9518: Legendary Member; Posts: 1309; Joined: Wed Mar 17, 2010 11:41 pmFollowed by: 5 members; Thanked: 33 times

by pradeepkaushal9518 » Tue Sep 28, 2010 12:54 am

A one-inch line segment has been divided into fifths, as indicated by large tick marks, and also into eighths, as indicated by smaller tick marks. What is the shortest length of any line segment bound by any two tick marks?

A 1/80

B 1/40

C 1/20

D 1/13

E 1/8

A SMALL TOWN GUY

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Source: Beat The GMAT — Problem Solving | Tue Sep 28, 2010 12:54 am

uwhusky: Legendary Member; Posts: 1172; Joined: Wed Apr 28, 2010 6:20 pmFollowed by: 4 members; Thanked: 74 times

by uwhusky » Tue Sep 28, 2010 12:59 am

Is it B?

I would approach this question by converting them both into the same denominator, which is 40.

So the smaller mark would be 5/40, 10/40, 15/40, 20/40...or simply 5, 10, 15, 20, 25, 30...40.

Large mark would be 8/40, 16/40, 24/40, 32/40...or simply 8, 16, 24, 32, 40.

Find the smallest difference between the two and add the 40 below as the denominator and you got your answer.

Yep.

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uwhusky: Legendary Member; Posts: 1172; Joined: Wed Apr 28, 2010 6:20 pmFollowed by: 4 members; Thanked: 74 times

by uwhusky » Tue Sep 28, 2010 12:59 am

Lol, my goal is to answer your question as soon as you post them! =)

Yep.

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Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members; Location: Milpitas, CA; Thanked: 447 times

by Rahul@gurome » Tue Sep 28, 2010 1:16 am

When the one-inch line segment will be divided into fifths, then the large tick marks will be at 1/5, 2/5, 3/5, 4/5 which is 8/40, 16/40, 24/40, 32/40.
When the one inch line segment will be divided into eighths, then the small tick marks will be at 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8 which is 5/40, 10/40, 15/40, 20/40, 25/40, 30/40, 35/40.

The smallest distance is between 2/5 = 16/40 and 3/8 = 15/40 or between 3/5 = 24/40 and 5/8 = 25/40 which is 1/40.

The correct answer is (B).

Rahul Lakhani
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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 » Tue Sep 28, 2010 4:09 am

perfect, perfect

The mind is everything. What you think you become. -Lord Buddha

Sanjeev K Saxena
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The Princeton Review - Manya Abroad
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