| Directions: Each of the questions 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 statements are sufficient to answer the question. Read both the statements and give answer. |
| What is the circumference of the circle? |
| I. The diameter of the circle is 28 cm. |
| II. The area of the circle is \[2464\text{ }c{{m}^{2}}.\] |
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 questions, while the data in statement I alone are not sufficient to answer the questions
C) If the data either in statement I alone or in statement II alone are sufficient to answer the questions
D) If the data given in both the statements I and II together are not sufficient to answer the questions
E) If the data in both the statements I and II together are necessary to answer the questions
Correct Answer: C
Solution :
[c] I. From statement I, Circumference of circle \[=2\pi r=\pi \,(diameter)\,=28\pi \] From statement II, Area \[=\pi {{r}^{2}}=2464\]\[\Rightarrow \]\[{{r}^{2}}=\frac{2464\times 7}{22}\] \[\Rightarrow \] \[{{r}^{2}}=784\]\[\Rightarrow \]\[r=\sqrt{784}=28\,cm\] \[\therefore \] Circumference \[=2\pi r\] \[\Rightarrow \] \[2\times \frac{22}{7}\times 28=1936\,cm\]
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