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Two statements and a few problems are given. Which of the following problems can be solved through these statements? Statement I: The radius of a circle is equal to one-fourth of side of a square. Statement II: The area of the square is 256 sq. cm. Problem 1: What is the circumference of the given circle? Problem 2: What is the ratio of area of circle to the area of the square? Problem 3: If the ratio of the area of a square to a rectangle is 1 : 1, then what is the length of the rectangle.

Two statements and a few problems are given. Which of the following problems can be solved through these statements? Statement I: The radius of a circle is equal to one-fourth of side of a square. Statement II: The area of the square is 256 sq. cm. Problem 1: What is the circumference of the given circle? Problem 2: What is the ratio of area of circle to the area of the square? Problem 3: If the ratio of the area of a square to a rectangle is 1 : 1, then what is the length of the rectangle. Correct Answer Only 3 cannot be solved

side of square = √256 = 16 cm

Radius of circle = 1/4 × 16 = 4 cm

Circumference of circle = 2πr (r = 4 cm), it can be found. (problem 1 is solved)

∴ Required ratio = Area of circle/Area of square = πr2/256, r = 4 cm so it can also be found (problem 2 is solved)

In problem 3 no relation of width and length of rectangle is given, so length of rectangle cannot be found (problem 3 cannot be solved)

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