Question
The set of all positive integers is the union of 2 disjoint subsets {f(1),f(2),f(3),...}& {g(1),g(2),g(3),...}, where f(1)<f(2)<f(3)<.....& g(1)<g(2)<g(3)<...... g(n)=f(f(n))+1 for n = 1,2,3,......
What is the value of g(1)?
Answer: Option B
:
B
f(x) is a set of all odd numbers and g(x) is a set of all even numbers. Thus, g(1) = f(f(1)) + 1 = 2.
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B
f(x) is a set of all odd numbers and g(x) is a set of all even numbers. Thus, g(1) = f(f(1)) + 1 = 2.
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