What is the respective ratio between the length of a rectangle and side of a square? I. Area of square is $ 576cm^{2} $ and area of rectangle is $ 600cm^{2}. $ II. Breadth of rectangle is half the side of the square.
A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
D) If the data given in both the statements I and II together are not sufficient to answer the question
E) If the data in both the statements I and II together are necessary to answer the question
Correct Answer: E
$ \Rightarrow $ $ l\times b=600 $
$ \Rightarrow $ $ l\times \frac{24}{2}=600 $
$ \Rightarrow $ $ l=\frac{600}{2}=50cm $
$ \therefore $ Required ratio $ =\frac{50}{24}=\frac{25}{12} $