Upon simplification, f &oplus; [f * {f &oplus; (f * f)}] equals:

CAT 2003 Slot 2 — QA Question 30

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.

Upon simplification, f ⊕ [f * {f ⊕ (f * f)}] equals:

Correct answer: h

Solution

f ⊕ [f * {f ⊕ (f * f)}]

Using the simplification rule, start from the innermost bracket.

f * f = h

f ⊕ e = f

f ⊕ f = h

Hence, option (d).