CAT 2003 Slot 2 — QA Question 29

MiscellaneousEasy

Passage / Data

Answer the following question based on the information given below.

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

âââââââ

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?

Answer & solution

Correct answer: 4

Solution

From the second table,

g² = g * g = h
g³ = h * g = f
g⁴ = f * g = e

Hence, option (a).