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AIM TO CRACK GMAT: Senior | Next Rank: 100 Posts; Posts: 80; Joined: Sat Sep 15, 2012 1:07 amFollowed by: 1 member; Thanked: 1 times

by AIM TO CRACK GMAT » Mon Oct 21, 2013 10:43 pm

If the length of cube is increased by 100% , by what % does the volume increase?

100%
200%
400%
700%

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Source: Beat The GMAT — Problem Solving | Mon Oct 21, 2013 10:43 pm

theCodeToGMAT: Legendary Member; Posts: 1556; Joined: Tue Aug 14, 2012 11:18 pmFollowed by: 34 members; Thanked: 448 times; GMAT Score:650

by theCodeToGMAT » Mon Oct 21, 2013 10:52 pm

Volume of Cube = (Side)^3

New Side = 2*side

Increase = (NEw - OLD)/OLD = (8*side^3 - Side^3)/Side^3 = 7 .. So 700%

R A H U L

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[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] » Mon Oct 21, 2013 11:59 pm

Hi Aim,

For these types of questions, you might find it useful to TEST VALUES.

If the side length = 2, then the Volume = (2)(2)(2) = 8

Now, increase the length by 100%

New side length = 4, so the new Volume = (4)(4)(4) = 64

% increase = (New - Old)/Old = (64 - 8)/8 = 56/8 = 7 = 700%

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

Contact Rich at [email protected]

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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 Oct 22, 2013 12:10 am

AIM TO CRACK GMAT wrote:If the length of cube is increased by 100% , by what % does the volume increase?

100%
200%
400%
700%

A 100 percent increase in value doubles the value, and if the side is doubled, volume would go eight folded, showing a [spoiler]700[/spoiler] percent increase in value.

Pick the nameless [spoiler]fourth[/spoiler] up. It's a nice but not a properly urbanized GMAT problem.

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

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