CAT Quant Practice Problems

Question: The set of all positive integers is the union of two disjoint subsets:

{f(1), f(2), ..., f(n), ...} and {g(1), g(2), ..., g(n), ...}, where

f(1) < f(2) < ... < f(n) ..., and g(1) < g(2) < ... < g(n) ..., and

g(n) = f(f(n)) + 1 for all n ≥ 1.

What is the value of g(1)?

0
2
1
Cannot be determined
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