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CAT 1996 — QA Question 7

Composite FunctionsEasy
Passage / Data

Direction: Answer the questions based on the following information.

A, S, M and D are functions of x and y, and they are defined as follows.

A(x, y) = x + y

S(x, y) = x – y

M(x, y) = xy

D(x, y) = xy, y ≠ 0

What is the value of M(M(A(M(x, y), S(y, x)), x), A(y, x)) for x = 2, y = 3?

Answer & solution

  • A

    60

  • B

    140

  • C

    25

  • 70

Solution

M(M(A(M(x, y), S(y, x)), x), A(y, x)) = M(M(A(M(2, 3),

S(3, 2)), 2), A(3, 2)) = M(M(A((2x3), (3 - 2)), 2), A(3, 2))

= M(M(A(6, 1), 2), A(3, 2)) = M(M((6 + 1), 2), (3 + 2))

= M(M(7, 2), 5) = M((7 × 2), 5) = M(14, 5) = (14 × 5) = 70.

CAT 1996 QA Q7: What is the value of M(M(A(M(x, y), S(y, x)), x), A(y, x)) for x = 2, y = 3? — Solution | TheCATExam