Instructions

Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and :

Give answer 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.
Give answer 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.
Give answer c:  If the data in Statement I alone or in Statement II alone are sufficient to answer the question.
Give answer d:  If the data in both the Statements I and II are not sufficient to answer the question.
Give answer e:  If the data in both the Statements I and II together are necessary to answer the question.

Question 146

What is the area of the circle?I. Perimeter of the circle is 88 cms.II. Diameter of the circle is 28 cms.

Solution

I : Perimeter = $$2\pi r=88$$

=> $$2\times\frac{22}{7}r=88$$

=> $$r=88\times\frac{7}{44}=14$$ cm

Thus, area = $$\pi r^2$$

= $$\frac{22}{7}\times(14)^2=616$$ $$cm^2$$

Thus, statement I alone is sufficient.

II : Diameter = $$28$$ cm

=> Radius, $$r=\frac{28}{2}=14$$ cm

Thus, area = $$\pi r^2$$

= $$\frac{22}{7}\times(14)^2=616$$ $$cm^2$$

Thus, statement II alone is sufficient.

$$\therefore$$ Either statement alone is sufficient.

=> Ans - (C)