JEE MATHEMATICS MCQ: SET THEORY

1 Easy

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Application +4 | -1

{A_1},{A_2}, \ldots ,{A_{100}}

are sets such that

n\left( {{A_i}} \right) = i + 2,{A_1} \subset {A_2} \subset {A_3} \ldots \subset {A_{100}}

and

\cap _{i = 3}^{100}{A_i} = A,

then

n\left( A \right) =

View answer and explanation

Correct option: C

Option C (5) is correct because the intersection of nested sets from A3 to A100 is A3, and n(A3) = 3 + 2 = 5.

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