BTGmoderatorLU wrote:A rectangle is defined to be "silver" if and only the ratio of its length to its width is 2 to 1. If rectangle S is silver, is rectangle R silver?
(1) R has the same area as S.
(2) The ratio of one side of R to one side of S is 2 to 1.
The OA is E.
I'm confused by this DS question, can anyone assist me with it, please? I appreciate your help. Thanks!
We have a special rectangle named S, called Silver; Silver is such that the ratio of its length to its width is 2 to 1.
We have to find out whether rectangle R is also a Silver. Or, we have to determine whether the ratio of its length to its width is 2 to 1.
Let's take each statement one by one.
(1) R has the same area as S.
Case 1:
Say the width of rectangle S as well as R = b, and their length = 2b, then their area = 2b^2. The answer is Yes.
Case 2:
Say the width of R = b/2, and its length = 4b, then its area = 2b^2. The ratio of length to width is 8 is to 1 ≠2 is to 1. The answer is No. No unique answer. Insufficient.
(2) The ratio of one side of R to one side of S is 2 to 1.
Case 1:
Say the width of rectangle S = b, and its length = 2b; and the width of rectangle R = 2b, and its length = 4b. The ratio of length to width is 2 is to 1. The answer is Yes.
Case 2:
Say the width of rectangle S = b, and its length = 2b; and the width of rectangle R = 2b, and its length = 2b. The ratio of length to width is 1 is to 1 ≠2 is to 1. The answer is No. No unique answer. Insufficient.
(1) and (2) together
Case 1:
Say the width of rectangle S = b, and its length = 2b => Area = 2b^2; and the width of rectangle R = 2b, and its length = b. The ratio of width to length is 2 is to 1. The answer is Yes. Insufficient.
Case 2:
Say the width of rectangle S = b, and its length = 2b => Area = 2b^2; and the width of rectangle R = b/2, and its length = 4b => Area = 2b^2. The ratio of length to width is 8 is to 1 ≠2 is to 1. The answer is No. No unique answer. Insufficient.
The correct answer:
E
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations:
Manhattan Review India |
Hyderabad GMAT Prep |
Bangalore GMAT Courses |
Kukatpally GMAT Prep | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor!
Click here.
