If `f: N -> N` is defined as (2,n=3k. 10-n, n = 3k + 1, 10, n = 3k +2, `k in Z` then `{n in N : f(n) gt 2}` =

If f:N rarr N is defined as (2,n=3k.10-n,n=3k+1,10,n=3k+2,k in Z then {n in N:f(n)>2}=

If f: N to Z is defined by: f(n) ={{:(2, if, n=3k, k in Z),(10-n, if, n=3k+1, k in Z),(0, if, n=3k, k in Z):} , then {n in N: f(n) gt 2) =

f: N rarr N is defined as f(n) = {{:(2","n=3",",k in Z),(10-n","n=3k+1",",k in Z),(0","n=3k+2",",k in Z):} then {n in N : f(n) gt 2}=

If N denotes the set of all positive integers and if f : N -> N is defined by f(n)= the sum of positive divisors of n then f(2^k*3) , where k is a positive integer is

Let A = { n in N | n^(2) le n + 10,000 } B = { 3k + 1 | k in N } and C = { 2 k |k in K } , then the sum of all the elements of the set A cap (B - C) is equal to ______

A = {3k| k in N} B = {3k -1|k in N} and C = {3k-2| k in N}. Then A , B and C are disjoint sets .

A function f from integers to integers is defined as f(x)={(n+3, n "is odd"),(n/2 , n "is even"):} . If k is an odd integer and f(f(f(k)))=27 then the sum of digits of k is