CAT Quant Practice Problems

Question: Answer the question on the basis of the tables given below.

Two binary operations ⊕and ∗ are defined over the set {a, e, f, g, h} as per the following tables:

Thus, according to the first table f ⊕ g = a , while according to the second table g∗h = f , and so on. Also, let f2 = f ∗ f, g3 = g∗ g∗ g , and so on.

What is the smallest positive integer n such that gn = e?

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