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abhasjha: Master | Next Rank: 500 Posts; Posts: 379; Joined: Tue Sep 30, 2008 7:17 amFollowed by: 11 members; Location: NY; Thanked: 28 times

by abhasjha » Mon Jul 28, 2014 2:43 am

https://graceeducation1613.wordpress.co ... questions/

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Source: Beat The GMAT — Problem Solving | Mon Jul 28, 2014 2:43 am

perwinsharma: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Mon Jun 22, 2009 9:43 pm; Location: India; Thanked: 3 times; GMAT Score:770

by perwinsharma » Mon Jul 28, 2014 4:04 am

We are give the radius =10
Let the base of the semicircle is AOB.

Let points X and Y be on edges of the traffic lane (XY=12)
OX=6

Now we have a right triangle with one side as 6 and the hypotenuse as 10, we can easily calculate the height using the Pythagorus theorem
= sqrt (6^2+10^2) =8

we need 1/2 ft clearance.

so height must be (8-1/2) =71/2 ft

B.

Praveen Sharma
Wizius Careers
Gurgaon
India
https://www.facebook.com/wiziuscareergmat/

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Mon Jul 28, 2014 4:14 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 1/2 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. 5Â½ ft
B. 7Â½ ft
C. 8 Â½ ft
D. 9Â½ ft
E. 10 ft

To GUARANTEE that ANY vehicle inside the 12 foot lane will clear the tunnel by 1/2 foot, we must consider the WORST-CASE SCENARIO:
The WIDEST possible vehicle -- a truck that is 12-feet wide -- traveling down the 12 foot lane.

In the figure above, O is the center of the circle and rectangle ABCD represents a 12-foot wide truck.
CD is the height of a truck that would TOUCH the top of the tunnel.
Since AD = 12, OD = 6.
Since the diameter of the semi-circle is 20, radius OC = 10
Thus, âˆ†OCD is a 6-8-10 triangle, implying that CD=8.
Since a truck with a height of 8 feet would touch the top of the tunnel, the maximum height that guarantees CLEARING the tunnel by 1/2 foot = 8 - 1/2 = 7.5 feet.

The correct answer is B.

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j_shreyans: Legendary Member; Posts: 510; Joined: Thu Aug 07, 2014 2:24 amFollowed by: 5 members; Thanked: 3 times

by j_shreyans » Sat Aug 23, 2014 10:03 pm

Guys ,

From where do i get the gprep software or questions to practice..

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GMAT/MBA Expert

[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members; Location: Palo Alto, CA; Thanked: 2867 times; GMAT Score:800

by [email protected] » Sat Aug 23, 2014 11:46 pm

HI j_shreyans,

You can get the 2 free practice CATs and practice questions at www.mba.com

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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j_shreyans: Legendary Member; Posts: 510; Joined: Thu Aug 07, 2014 2:24 amFollowed by: 5 members; Thanked: 3 times

by j_shreyans » Sun Aug 24, 2014 1:21 am

Hi Rich ,

That i have already downloaded the software besides that?

Shreyans

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GMAT/MBA Expert

[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members; Location: Palo Alto, CA; Thanked: 2867 times; GMAT Score:800

by [email protected] » Sun Aug 24, 2014 11:44 am

Hi j_shreyans,

If you're asking about free Official material, then that's all that I think there really is. If you're talking about free material in general, then most GMAT Companies offer some type of free resources (practice questions, CATs, Trial Accounts, etc.), so you can visit the various Company websites and see what they have to offer.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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