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JEE MATHEMATICS MCQ: SET THEORY

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If n(Ai)=i+1n\left( {{A_i}} \right) = i + 1 and A1⊂A2⊂A3⊂…⊂A99,{A_1} \subset {A_2} \subset {A_3} \subset \ldots \subset {A_{99}}, then n(Ui=199Ai)=n\left( {U_{i = 1}^{99}{A_i}} \right) =
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Correct option: C
100
Option C (100) is correct because the union of nested sets is the largest set, and n(A_99) = 99 + 1 = 100.

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