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. All lectures occurred either on the 12th or 25th of these months, with no two professors lecturing on the same day. Each professor also prefers a unique colour from Red, Blue, Green, Yellow, Orange, White, Pink, Silver, Maroon, Violet, Brown, and Grey.

Given the following clues:
- V had a lecture on 12th April.
- Only two people had lectures between V and Q.
- The person who likes Red had a lecture in the same month as Q, but Q does not like Red.
- The person who likes White had a lecture on an even-numbered date in a month with exactly 30 days; V does not like White.
- Three people had lectures between the one who likes White and the one who likes Violet.
- The number of people between the one who likes Red and O is the same as between Q and the one who likes White.
- Two people had lectures between O and the one who likes Blue.
- U had a lecture on the 12th of a month before the one who likes Violet and likes neither Red nor Blue.
- Two people had lectures between U and the one who likes Orange.
- Two people had lectures between the one who likes Orange and the one who likes Green.
- X had a lecture in the same month as the one who likes Green.
- The number of people who had lectures after W is equal to those before X.
- Only one person had a lecture between W and Z; Z lectured before W.
- The one who likes Pink had a lecture on an odd-numbered day in the same month as Z.
- P had a lecture on the 12th of the same month as R.
- Two people had lectures between P and the one who likes Yellow.
- The one who likes Maroon had a lecture before P.
- T likes Brown.
- S does not like Red.
- W does not like Grey.

**Question:** Who among the following had a lecture in the same month as S?

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. All lectures occurred either on the 12th or 25th of these months, with no two professors lecturing on the same day. Each professor also prefers a unique colour from Red, Blue, Green, Yellow, Orange, White, Pink, Silver, Maroon, Violet, Brown, and Grey.

Given the following clues:
- V had a lecture on 12th April.
- Only two people had lectures between V and Q.
- The person who likes Red had a lecture in the same month as Q, but Q does not like Red.
- The person who likes White had a lecture on an even-numbered date in a month with exactly 30 days; V does not like White.
- Three people had lectures between the one who likes White and the one who likes Violet.
- The number of people between the one who likes Red and O is the same as between Q and the one who likes White.
- Two people had lectures between O and the one who likes Blue.
- U had a lecture on the 12th of a month before the one who likes Violet and likes neither Red nor Blue.
- Two people had lectures between U and the one who likes Orange.
- Two people had lectures between the one who likes Orange and the one who likes Green.
- X had a lecture in the same month as the one who likes Green.
- The number of people who had lectures after W is equal to those before X.
- Only one person had a lecture between W and Z; Z lectured before W.
- The one who likes Pink had a lecture on an odd-numbered day in the same month as Z.
- P had a lecture on the 12th of the same month as R.
- Two people had lectures between P and the one who likes Yellow.
- The one who likes Maroon had a lecture before P.
- T likes Brown.
- S does not like Red.
- W does not like Grey.

**Question:** Who among the following had a lecture in the same month as S?

Accepted Answer

**Solution:**

1. From the clues and analysis, two possible cases were considered for the arrangement of lectures and colours.

2. Case 1 was found inconsistent with the conditions regarding the positions of P, Yellow, and Maroon.

3. Case 2 satisfies all conditions:
   - U lectures in January and likes Green.
   - P lectures in March and likes Violet.
   - May is the month for the one who likes Yellow.
   - June has Z and the one who likes White.
   - December has Q on 25th and likes Orange.

4. S's month is identified by elimination and matching the conditions; S shares the month with the person who likes Grey.

5. Therefore, the person who likes Grey had a lecture in the same month as S.

**Answer:** The one who likes Grey

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