Let A_1,A_2,A_3, ,A_ 100 be 100 sets such that n(A_i)=i+1 and A_1 A_2 A_3 A_ 100 . Then _ i=1 ^ 100 A_i contains ... elements.

JEE Main Mathematics question

Let be 100 sets such that and . Then contains ... elements.

Answer: (C)

The union of nested sets is the largest one, , with elements.

Question ID VK-003163