| Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. |
| Assertion If the circumference of a circle is 176 cm, then its radius is 28 cm. |
| Reason Circumference \[=2\pi \times \] radius |
A) A is true, R is true; R is a correct explanation for A.
B) A is true, R is true; R is not a correct explanation for A.
C) A is true; R is false.
D) A is false; R is true.
Correct Answer: A
Solution :
\[C=2\times \frac{22}{7}\times r=176\] \[\Rightarrow \,\,\,\,r=\frac{176\times 7}{2\times 22}=28\,cm\] Both Assertion and Reason are True. Also Reason is the True explanation of the Assertion.
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