## Realated Questions

In a survey conducted to find out the readership of three newspapers A, B and C, it was found that the number of people who read newspaper A is at least 20 and at most 40, the number of people who read newspaper B is at least 50 and at most 70, the number of people who read newspaper C is at least 70 and at most 83. It was also found that 8 people read all the three newspapers and 85 people read at least two of the three newspapers. Find the minimum number of people who read both A and B but not C

Consider the sets

*Tn*={*n*,*n*?+1,*n*?+2,*n*?+3,*n*?+4}, where n = 1,2,3,….96. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6,12,18,….Consider the sets S

*=*{2, 3, 4, ..., 2n + 1}, where*n*is a positive integer larger than 2007. Define X as the average of the odd integers in S*.*What is the value of X –