Six persons – R, S, T, U, V, and W book movie tickets for six different days starting from Monday to Saturday, but not necessarily in the same order. On which day did R book the movie ticket?

Analyze the following statements to determine if the data is sufficient to answer the question:

**Statement I:** Two persons booked movie tickets between U and W. V booked a movie ticket after U. S and V booked movie tickets adjacent to each other.

**Statement II:** More than one person booked a movie ticket between U and T. R booked a movie ticket before S.

**Statement III:** T booked a movie ticket two persons after W. T booked movie ticket after U. V booked a movie ticket before S.

Question

Six persons – R, S, T, U, V, and W book movie tickets for six different days starting from Monday to Saturday, but not necessarily in the same order. On which day did R book the movie ticket?

Analyze the following statements to determine if the data is sufficient to answer the question:

**Statement I:** Two persons booked movie tickets between U and W. V booked a movie ticket after U. S and V booked movie tickets adjacent to each other.

**Statement II:** More than one person booked a movie ticket between U and T. R booked a movie ticket before S.

**Statement III:** T booked a movie ticket two persons after W. T booked movie ticket after U. V booked a movie ticket before S.

Accepted Answer

**Solution:**

1. **From Statement I:**
   - Two persons are between U and W.
   - V booked after U.
   - S and V are adjacent.

Possible positions can be arranged but R's exact day cannot be determined from this alone.

2. **From Statement II:**
   - More than one person is between U and T.
   - R booked before S.

This gives some order but still does not fix R's exact day.

3. **From Statement III:**
   - T booked two persons after W.
   - T booked after U.
   - V booked before S.

This helps establish relative positions but alone is insufficient.

4. **Combining Statements I and III:**
   - From I, two persons between U and W.
   - From III, T is two persons after W and after U.
   - V is after U (from I) and before S (from III), and S and V are adjacent (from I).

Arranging these constraints:
   - Days: Monday to Saturday (6 days)
   - Place W on Monday.
   - Two persons between U and W means U is on Thursday.
   - T is two persons after W, so T is on Wednesday.
   - V is after U (Thursday), so V can be Friday.
   - S is adjacent to V, so S is Saturday.
   - R must be on Tuesday (the only day left).

Therefore, R booked the ticket on Tuesday.

5. **Conclusion:**
   - Statement I alone is insufficient.
   - Statement II alone is insufficient.
   - Statements I and III together are sufficient to determine R's day.
   - Adding Statement II does not add further clarity.

**Answer:** If both statements I and III are sufficient

Answer

Answer

Answer