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Year

CAT 2024

Section

Quantitative

Topic

Functions

Difficulty

Hard

Question

Slot-2

A function ff maps the set of natural numbers to whole numbers, such that f(xy)=f(x)f(y)+f(x)+f(y)f(x y)=f(x) f(y)+f(x)+f(y) for all x,yx, y and f(p)=1f(p)=1 for every prime number pp . Then, the value of f(160000)f(160000) is

1023

4095

2047

8191

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