TheCATExam
Sign in

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:

​​​​​​​

​​​​​​​

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

  • 4

  • B

    5

  • C

    2

  • D

    3

Solution

From the second table,

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

Hence, option (a).

CAT 2003 Slot 2 QA Q29: What is the smallest positive integer n such that g n = e? — Solution | TheCATExam