Let N denote the set of natural numbers and A= \{n^2: n \in N\} and B= \{n^3: n \in N\}. Which one of the following is correct?

Correct Answer is : A∩B must be a proper subset of {m6:m∈N}

The complement of (A \cup B) is an infinite set

A \cap B must be a proper subset of \{m^6: m \in N\}

UPSC NDA II 2010 Mathematics Paper

Question : 97 of 120

Marks: +1, -0

Let N denote the set of natural numbers and A={n2:n∈N} and B={n3:n∈N}. Which one of the following is correct?

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