GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A manufacturer is designing two rectangular game boards. Th
[#permalink]
07 Jun 2017, 01:31
07 Jun 2017, 01:31
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
72% (01:15) correct
27% (01:23) wrong based on 137 sessions
Hide Show timer Statistics
A manufacturer is designing two rectangular game boards. The width of the smaller board is one-half the width of the larger board, and the length of the smaller board is one-sixth the length of the larger board. If the smaller board has area N, then what is the difference between the areas of the game boards, in terms of N ?
A) 3N
B) 9N
C) 11N
D) 12N
E) 18N
Re: A manufacturer is designing two rectangular game boards. Th
[#permalink]
20 Sep 2017, 06:03
20 Sep 2017, 06:03
Keeping the width and length of the larger rectangular as X and Y, we have that the correspondent measures for the smaller rectangular are 1/2X and 1/6Y. Thus, since N is the area of the smaller rectangular, N = 1/2X*1/6Y = 1/12XY. The area of the larger rectangular, instead, is equal to XY. The difference is then equal to XY-1/12XY=11/12XY. Since N = 1/12XY, the difference in terms of N is 11N, i.e. 11*1/12 = 11/12. Then the answer is C!
Re: A manufacturer is designing two rectangular game boards. Th
[#permalink]
22 Sep 2017, 13:25
22 Sep 2017, 13:25
Carcass wrote:
A manufacturer is designing two rectangular game boards. The width of the smaller board is one-half the width of the larger board, and the length of the smaller board is one-sixth the length of the larger board. If the smaller board has area N, then what is the difference between the areas of the game boards, in terms of
N ?
A) 3N
B) 9N
C) 11N
D) 12N
E) 18N
For easy calculation at first consider-
Numerical value for wwidth and Length of the larger board and number is divisible
For larger board let us assume-
Length = 12
Width =4
therefore for smaller board
Length = \(\frac{1}{6}\) *12 = 2
Width = \(\frac{1}{2}\)* 4 = 2 (Plz note every square can be rectangle but every rectangle cannot be square and these numbers assumed
still hold valid for the statement)
Therefore Area of Smaller Board= N = 4 and Area of Larger Board = 48
The difference between the areas= 48 -4 = 44
Now plug the value of N in the solution
Only option C satisfy
(Remember the we can put different value for Length and Breadth and the answer is remain the same, for easy calculation we take nos. that are divisible by 2 and 6)
