Let `ai = {i, i+1, i+2, .....}`. then set `{n, n+1, n+2, n+3, .....}` is the _________ of the set ai.

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

If the mean of the set of numbers x_(1),x_(2),x_(3),...,x_(n) is bar(x), then the mean of the numbers x_(i)+2i,1<=i<=n is

Suppose a_1,A_2,.....,A_30 are thirty sets each with five elements and B_1, B_2,.......,B_n are n sets each with 3 elements. Let uuu_(i = 1)^30 A_i = uuu_(i=1)^n = S. Assume that each element of S belongs to exactly 10 elements of A_i and exactly 9 of B_j. Find n

Let A_1 , A_2 , ....., A_m be m sets such that O(A_i) = p for i = 1,2,....,m and B_1 , B_2,....,B_n sets such that O(B_j) = q for j = 1,2,....,n. If uuu_(j=1)^m A_i = uuu_(j=1)^n B_j = S and each element of S belongs to exactly alpha number of A_j's and beta number of B_j's, then

Find the value of ( i^2 + n ) ( i^2 + n - 1 ) ( i^2 + n - 2 ) .......( i^2 + 1 )

If the mean of the set of numbers x_(1),x_(2),...x_(n) is bar(x), then the mean of the numbers x_(i)+2i,1<=i<=n is