JEE MATHEMATICS MCQ: SET THEORY

1 Easy

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Understanding +4 | -1

Let

{A_1},{A_2},{A_3} \ldots ,{A_{100}}

be 100 sets such that

n\left( {{A_i}} \right) = i + 1

and

{A_1} \subset {A_2} \subset {A_3} \subset \ldots \subset {A_{100}},

then

U_{i = 1}^{100}{A_i}

contains… elements

View answer and explanation

Correct option: C

101

Option D (101) is correct because the union of nested sets is the largest set, and n(A_100) = 100 + 1 = 101.

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