There are 12 professors – A, B, C, D, Q, R, S, and T. They have conferences in different months –January, March, April June,july,August, and October. The conferences are on dates 6th or 21st of a given month. Each conference is attended by some number of people. If the month contains odd number of days then number of people attending the conferenc is odd. Like conference in March (31 days) was attended by odd number of people and conference in April (30 days) was attended byeven number of people. A had conference on June 6. Q ͛s conference was before A. Q's conference was attended by 55 people and he hadconference on 21stof a month. There was one conference between Q'

s and S's conference. The number of peopleattending S's conference was 6 less than the number of people who attended Q's conference. There were 3 conferences between D's conference and the conference attended by 26 peopleD had conference before the conference attended by 26 people. D's conference was not in January. There were 2 conferences between T's conference and the conference attended by 26 people. The number of people who attended T's conference was greater than the number of people who attended S's conference but less than the number of people who attended Q͛s conference. The number of people who attended T's conference was a multiple of 3. E and P had conference in same month but not April. There was one conference between the conferences of E and U. There were 2 conferences between F's conference and the conference attended by 16 people. F had conference before the conference attended by 16 people. The total number of people who attended the conferences of U and Q was twice the total number of people who attended the conferences of A and B.Conference of C and that attended by 18 people was in same month. The total number of people who attended the conferences of E and P was 20. The number of people who attended E's conference was greater than the number of people who attended the conference of F and P. The number of people who attended the conference of T was greater than the number of people who attended the conference of B by 24. The one who had conference in March had more number of people attending it than B but less than 30. There were more than 3 conferences between the conferences of R and S.

Which of the following is true with respect to the given arrangement?

1:

There are 3 conferences between the conferences of A and F

2:

The total number of people attending the conferences of B and R is 44

3:

The conference of U is in October.

4:

The total number of people attending the conferences of F and R is 34

5:

A and C have conferences in same month

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