Given a set of n rays in a plane, we define a reversal as the operation of reversing precisely one ray and obtaining a new set of n rays.
Q1: if n = 2001 and if k reversals are performed such that all the rays are reversed, then a possible value of k is
a. 4000 b. 4002 c. 2011 d. 1999
Choose the most appropriate option: A) 2336 B) 2011 C) 1366 D) 288 E) 1232
there are n rays. If we reverse all of them, we would have a complete reversed set after n reversals. After that any reversal that we perform has to be undone with another reversal to obtain complete reversal. We can have a complete reversal after k reversals if k = n + 2m (m ∈ N). i.e., k could be some number greater than (or equal to) n and of the same type (even/odd)   So n = 2001 then k = 2001 + 2m   So k = 2011   Answer.2011
<result>B</result>
Given a set of n rays in a plane, we define a reversal as the operation of reversing precisely one ray and obtaining a new set of n rays.
Q1: if n = 2001 and if k reversals are performed such that all the rays are reversed, then a possible value of k is
a. 4000 b. 4002 c. 2011 d. 1999