On a TV channel, four movies A, B, C, and D were shown on four consecutive days, one movie per day, but not necessarily in that order. On which day was movie C screened?

I. The first movie was screened on 23rd, Tuesday, and it was followed by movie D.

II. Movie A was not screened on 25th, and there was exactly one movie screened between movies A and B.

Question

On a TV channel, four movies A, B, C, and D were shown on four consecutive days, one movie per day, but not necessarily in that order. On which day was movie C screened?

I. The first movie was screened on 23rd, Tuesday, and it was followed by movie D.

II. Movie A was not screened on 25th, and there was exactly one movie screened between movies A and B.

Accepted Answer

**Solution:**

1. From statement I:
   - The first movie was screened on 23rd, Tuesday.
   - It was followed by movie D, so D was screened on 24th, Wednesday.

2. From statement II:
   - Movie A was not screened on 25th.
   - Exactly one movie was screened between movies A and B.

3. Combining both statements:
   - The movies were screened on 23rd (Tuesday), 24th (Wednesday), 25th (Thursday), and 26th (Friday).
   - From statement I, D is on 24th.
   - From statement II, since one movie is between A and B, and A is not on 25th, the only possible arrangement is A on 23rd and B on 25th.

4. Therefore, the remaining movie C must have been screened on 26th, Friday.

**Answer:** Data in both statements I and II together are necessary to answer the question.

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