Question

Let E denote the set of all natural numbers 'n' such that 3 < n < 100 and the set {1,2,3,...,n} can be partitioned in 3 subsets with equal sums. Find the number of elements of E.​

Answer 1

Answer:

E={4,5,6,7,8,.....,99}

i.e the no. of elements in set E is 96

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Answer 2

64 is the correct answer