## Realated Questions

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 –A set of S consists of

i). All odd numbers from 1 to 55.

ii). All even numbers from 56 to 150.

What is the index of the highest power of 3 in the product of all the elements of the set S?