Nine students were selected for the final of Senior girls Quiz competition in Acharaya Public School. The students are (A,B,C)- 8th standard, (P,Q,R)-9th standard and (L,M,N)- 10th standard. The final round consists of three teams of three each with not more than two students from the same standard.
The formation of each team is also subject to the following conditions:
(i) N and B cannot be present in the same team
(ii) The teams consisting of students from eight standard must have at-least one tenth standard student in their team
(iii) P and M should be present in the same team
(iv) When Q is selected at-least one among A and C must be selected
If one of the team consists of two ninth standard students, in how many ways can the teams be formed?
If B is not selected in the same team as P, then who should be definitely present in B's team?
If Q and L are present in the same team, then who is definitely present in the same team as N?
For the following questions answer them individually
A, B, C, D, ..., X, Y, Z are the players who participated in a tournament. Everyone played with every other player exactly once. A win scores 2 points, a draw scores 1 point and a loss scores 0 point. None of the matches ended in a draw. No two players scored the same score. At the end of the tournament, by ranking list is published which is in accordance with the alphabetical order. Then
P, Q, R and S are four statements. Relation between these statements is as follows.
I. If P is true, then Q must be true.
II. If Q is true, then R must be true.
III. If S is true, then either Q is false or R is false.
Which of the following must be true?
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