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Side of square is 3.5 cm more than radius of circle. What will be area of square? I. Difference between circumference and diameter of circle is 45
Question

The following questions are accompanied by two statements (i) and (ii). You have to determine which statement(s) is/are necessary/sufficient to answer the question.

Side of square is 3.5 cm more than radius of circle. What will be area of square?
I. Difference between circumference and diameter of circle is 45 cm.
II. Radius of circle is 50% more than breadth of rectangle whose length is 15 cm. Ratio of circumference of circle & perimeter of rectangle is 3 : 2.

A.

Only statement II is sufficient

B.

Either statement I or Statement II alone is sufficient

C.

Statement I and II both together is sufficient

D.

Only statement I is sufficient

E.

Neither statement I nor statement II is sufficient

Correct option is B

Let radius of circle = r cm
So, side of square = r + 3.5 cm
From I –
2 ×22/7×r-2r=45
r = 10.5 cm
side of square = 10.5 + 3.5 = 14 cm
Area of square = 196 sq cm
Statement I alone is sufficient to give answer.
From II –
Let breadth of rectangle = 2x
So, radius of circle will be = 3x
ATQ –


x = 3.5 cm
Radius of circle = 10.5 cm
side of square = 10.5 + 3.5 = 14 cm
Area of square = 196 sq cm
So, either statement I or Statement II alone is sufficient.

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