Given a set of n rays in a plane, define a reversal as the operation of revers

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Given a set of n rays in a plane, define a reversal as the operation of reversing precisely one ray and obtaining a new set of rays. If all the rays are reversed after 42 operations, then n can be

Answer: Option D
:
D

For a ray to get back to its original orientation, it requires an even no. of operations. Since, all the rays get reversed after 42 operations and if there are k rays $\Rightarrow$ 2n+k = 42 $\Rightarrow$ k has to be even. Hence, choice (d) is the right answer

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