Professors O, P, Q, R, S, T, U, V, W, X, Y, and Z had lectures in different months of the same year: January, March, April, May, June, and December. L...
Question
Professors O, P, Q, R, S, T, U, V, W, X, Y, and Z had lectures in different months of the same year: January, March, April, May, June, and December. Lectures were held either on the 12th or 25th of these months, with no two professors lecturing on the same day. Each professor likes a unique color from Red, Blue, Green, Yellow, Orange, White, Pink, Silver, Maroon, Violet, Brown, and Grey.
Given the following clues:
- V lectured on 12th April.
- Exactly two professors lectured between V and Q.
- The professor who likes Red lectured in the same month as Q; Q does not like Red.
- The professor who likes White lectured on an even date in a month with exactly 30 days; V does not like White.
- Exactly three professors lectured between the ones who like White and Violet.
- The number of professors between the one who likes Red and O equals the number between Q and the one who likes White.
- Exactly two professors lectured between O and the one who likes Blue.
- U lectured on the 12th of a month before the one who likes Violet and likes neither Red nor Blue.
- Exactly two professors lectured between U and the one who likes Orange.
- Exactly two professors lectured between the ones who like Orange and Green.
- X lectured in the same month as the one who likes Green.
- The number of professors lecturing after W equals those before X.
- Exactly one professor lectured between W and Z; Z lectured before W.
- The one who likes Pink lectured on an odd date in the same month as Z.
- P lectured on the 12th of the same month as R.
- Exactly two professors lectured between P and the one who likes Yellow.
- The one who likes Maroon lectured before P.
- T likes Brown.
- S does not like Red.
- W does not like Grey.
Question: Which of the following pairs indicate the professors who had lectures in March?