Set Question : Probality

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simplythebest: Junior | Next Rank: 30 Posts; Posts: 22; Joined: Mon Sep 18, 2006 10:17 am

by simplythebest » Wed Jun 06, 2007 2:19 am

The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit on the height of vehicles that are allowed to use the tunnel?

A. 5½ ft
B. 7½ ft
C. 8 ½ ft
D. 9½ ft
E. 10 ft

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Source: Beat The GMAT — Data Sufficiency | Wed Jun 06, 2007 2:19 am

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 » Sat Jul 10, 2010 12:33 am

simplythebest wrote:The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ï¿½ foot when they are inside the traffic lane, what should be the limit on the height of vehicles that are allowed to use the tunnel?

A. 5ï¿½ ft
B. 7ï¿½ ft
C. 8 ï¿½ ft
D. 9ï¿½ ft
E. 10 ft

It's a decent question even if ï¿½ remains mystery. If any architect could make me understand the meaning of what is in bold in the stem, then a shot could still be given.

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

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kvcpk: Legendary Member; Posts: 1893; Joined: Sun May 30, 2010 11:48 pmFollowed by: 7 members; Thanked: 215 times

by kvcpk » Sat Jul 10, 2010 1:28 am

If option C is 8-?, then answer should be C.

What is OA?

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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 » Sat Jul 10, 2010 4:36 am

Applying Pythagoras Theorem in triangle OAB, we get AB = âˆš(100 - 36) = 8 ft
Limit on height of vehicles which are allowed to use the tunnel = 8 - ï¿½
Can you please let us know what's the value of ï¿½?

Rahul Lakhani
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On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
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