Consider the following for the next ten (10) items that follow: Each item contains a Question followed by two Statements. Answer each item using the following instructions: Area of a rectangle with length x and breadth y is P and area of a parallelogram (which is strictly not a rectangle) with adjacent sides of length x and y is Q. The chord of a circle of radius R touches at a point on the circumference of a concentric circle of radius r. The length of the chord is 24 units. Question : What are the values of r and R?
- AIf the Question can be answered by one of the Statements alone, but not by the other.
- BIf the Question can be answered by either Statement alone.
- CIf the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- DIf the Question cannot be answered even by using both Statements together.
Explanation
The chord condition gives R² − r² = 144 by Pythagoras. This has several positive integer solutions (for example r = 5, R = 13 and r = 9, R = 15). The values cannot be pinned down even with both statements: option (d).