Direction: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.
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What is the respective ratio between the length of a rectangle and side of square ?
I. Area of the square is 576 sq cm and the area of the rectangle is 600 sq cm
II. Breadth of the rectangle is half the side of the square.
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- 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
- 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
- If the data in either Statement I alone or in Statement II alone are sufficient to answer the question
- If the data in both the Statements I and II are not sufficient to answer the question
- If the data in both the Statements I and II together are necessary to answer the question
Correct Option: E
From Statement I,
Area of square = 576 sq cm
∴ Side of square = Square root of Square's area
∴ Side of square = Square root of 576 = 24 cm
and area of rectangle = 600 sq cm
area of rectangle = ( length x breadth ) of rectangle
We cannot find the length of rectangle
From Statement II,
Breadth of rectangle = side of square x 1/2
Breadth of rectangle = 24 x 1/2 = 12 cm
∴ Length of rectangle = 600/12 = 50 cm
∴ Ratio = Length of rectangle/ Side of square = 50/24
= 25/12
