## Realated Questions

In a survey of political preference, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what percentage of those asked favoured more than one?

In a tournament, there are n teams T

_{1}, T_{2}....,T_{n}, with n > 5. Each team consists of k players, k > 3. The following pairs of teams have one player in common. T_{1}& T_{2}, T_{2}& T_{3}, ...,T_{n-1}& T_{n}and T_{n}& T_{1}

No other pair of teams has any player in common. How many players are participating in the tournament considering all the n teams together?The average of the numbers of a set P, consisting of 20 numbers, is 20. There are 20 numbers in another set Q = {ai : i = 1, 2, 3, .20}. Now, all the 20 numbers, starting from a1 to a20, in that order, are shifted from the set Q to the set P, one after the other. During the process of shifting, it was observed that when the number ai was shifted from set Q to set P, the average of the numbers of set P increased by bi, where bi+1 - bi = 1, for 1 £ i £ 19. If

b1 = 2, what is the average of the original 20 numbers of set Q?