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Question

Consider the following statements:
1. The set of irrational numbers between \(\sqrt2\) and \(\sqrt5\) is infinite.
2. The set of all odd integers less than100 is finite.
Which statement(s) is/are correct?

This question was previously asked in
NDA I 2022 GAT Previous Year Paper (10-Apr-2022)
The correct answer is

1 only

Only 1 is true. Every nonempty real interval contains infinitely many irrational numbers. Odd integers below 100 include all negative odd integers, so that set is also infinite; statement 2 is false.

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