Seven persons P, Q, R, S, T, U, and V attend a business meeting on seven consecutive days starting from Tuesday, but not necessarily in that order. How many persons attend the meeting between U and T?

Statements:

I. Three persons attend the meeting between P and T. U attends the meeting on one of the days before T but is not the first person to attend the meeting.

II. Two persons attend the meeting between T and S. The number of persons attending the meeting after T is two less than the number of persons attending before P.

III. More than two persons attend the meeting between U and V. V attends the meeting after S.

Based on the above, choose the correct option regarding the sufficiency of the statements to answer the question.

Question

Seven persons P, Q, R, S, T, U, and V attend a business meeting on seven consecutive days starting from Tuesday, but not necessarily in that order. How many persons attend the meeting between U and T?

Statements:

I. Three persons attend the meeting between P and T. U attends the meeting on one of the days before T but is not the first person to attend the meeting.

II. Two persons attend the meeting between T and S. The number of persons attending the meeting after T is two less than the number of persons attending before P.

III. More than two persons attend the meeting between U and V. V attends the meeting after S.

Based on the above, choose the correct option regarding the sufficiency of the statements to answer the question.

Accepted Answer

**Solution:**

1. From Statement I:
   - There are 3 persons between P and T.
   - U attends before T but is not the first person.
   - This gives partial information but does not fix the exact positions of U and T or the number of persons between U and T.

2. From Statement II:
   - Two persons are between T and S.
   - Number of persons after T is two less than the number before P.
   - This helps relate positions of T, S, and P but still does not determine the exact count between U and T.

3. From Statement III:
   - More than two persons are between U and V.
   - V attends after S.
   - This adds constraints but alone cannot determine the number of persons between U and T.

4. Combining all three statements:
   - We can deduce the exact order of all seven persons.
   - This allows us to find the number of persons between U and T precisely.

**Answer:** (d) If the data in all the statements I, II and III together are necessary to answer the question.

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