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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:

​​​​​​​

​​​​​​​

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:

Answer & solution

  • A

    e

  • B

    f

  • C

    g

  • 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).

CAT 2003 Slot 2 QA Q30: Upon simplification, f ⊕ [f * {f ⊕ (f * f)}] equals: — Solution | TheCATExam