BTGmoderatorDC wrote:A rectangle is defined to be "silver" if and only if the ratio of its length to its width is 2 to 1. If rectangle S is silver, is a 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.
OA E
Source: Veritas Prep
Given: Rectangle S is silver, i.e., the ratio of its length to its width is 2 to 1
Question: Is a rectangle R silver?
Question rephrased: Does rectangle R has 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 length and the width of the rectangle S and R are 2 and 1, respective. The answer is yes.
Case 2: Say the length and the width of the rectangle S are 2 and 1, respective. However, the length and the width of the rectangle R are 1 and 2, respective. The answer is no.
Insufficient.
(2) The ratio of one side of R to one side of S is 2 to 1.
Cases discussed above are applicable here too. Insufficient.
(1) and (2) together
Cases discussed above are applicable here too. Insufficient.
The correct answer:
E
Hope this helps!
-Jay
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