Let `S = {1,2,3,..., 40}` and let A be a subset of S such that notwo elements in A have their sum divisible by 5. What is themaximum number of elements possible in A?

Let S={1,2,3,.....50} The number of non empty subsets A of S such that the product of elements is A is even

Let S={1,2,3,......,100}. The number of non-empty subsets A of S such that the product of elements in A is even is

Let S={1,2,3, …, 100} . The number of non-empty subsets A to S such that the product of elements in A is even is

Let T be the set of integers ( 3, 11, 19,27 .....451, 459,467} and S be a subset of T such that the sum of no two elements of S is 470. The maximum possible number of elements in S is

If A={1,2,3,4}, then the number of subsets of set A containing element 3 , is