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A function f maps the set of natural numbers to whole numbers, such that f(xy) = f(x)f(y) + f(x) + f(y) for all x, y and f(p) = 1 for every prime number p. Then, the value of f(160000) is
Question Posted on 21 Sep 2025
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CAT 2024 Question Paper QA Slot 2 Question 5
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A function f maps the set of natural numbers to whole numbers, such that f(xy) = f(x)f(y) + f(x) + f(y) for all x, y and f(p) = 1 for every prime number p. Then, the value of f(160000) is
(1)4095
(2)8191
(3)2047
(4)1023
Answer:-(1)4095
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