BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Interesting Problem;HELP GMAT Tomorrow

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 107
Joined: Tue Jun 05, 2012 3:25 am
Thanked: 1 times
Followed by:13 members

Interesting Problem;HELP GMAT Tomorrow

by soni_pallavi » Fri Nov 23, 2012 11:53 pm
Q1) The cost of a square slab is proportional to its thickness and also proportional to the square of its length.What is the cost of a square slab that is 3 meters long and 0.1 meter thick?

1)The cost of a square slab that is 2 meters long and 0.2 meter thick is 160$ more than the cost of a square slab that is 2 meters long and 0.1 meter thick.

2)The cost of a square slab that is 3 meters long and 0.1 meter thick is 200$ more than the cost of a square slab that is 2 meters long and 0.1 meter thick.

Thanks
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Sat Nov 24, 2012 3:57 am
soni_pallavi wrote:Q1) The cost of a square slab is proportional to its thickness and also proportional to the square of its length.What is the cost of a square slab that is 3 meters long and 0.1 meter thick?

1)The cost of a square slab that is 2 meters long and 0.2 meter thick is 160$ more than the cost of a square slab that is 2 meters long and 0.1 meter thick.

2)The cost of a square slab that is 3 meters long and 0.1 meter thick is 200$ more than the cost of a square slab that is 2 meters long and 0.1 meter thick.

Thanks
Let us assume that C = Cost, T = thickness, L = Length, k = constant of proportionality
C = k * L * T²

(1) The cost of a square slab that is 2 meters long and 0.2 meter thick is $160 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.
C = k * 2 * (0.2)² = 0.08k
C = k * 2 * (0.1)² = 0.02k

0.08k = 160 + 0.02k
0.06k = 160
k = 160/0.06 = 1000
Substitute this value of k in C = k * L * T²; SUFFICIENT.

(2) The cost of a square slab that is 3 meters long and 0.1 meter thick is 200$ more than the cost of a square slab that is 2 meters long and 0.1 meter thick, which is the same as statement but with different values; SUFFICIENT.

The correct answer is D.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Post new topic Post Reply
• Page 1 of 1