During a particular year, exactly ten people ($A - J$) visited a certain city on five different days between January 1st and April 30th, in a non-leap year; such that on each of the five days, exactly two of the ten people visited the city.

It is also known that:

1. $A$, who did not visit the city after $J$, visited the city $28$ days after $F$, who, in turn, did not visit the city with $B$.
2. $J$, who visited the city in March, visited the city at least $50$ days before $C$ visited but visited the city on the same day of the week as $C$.
3. $D$, who visited the city exactly $10$ days before $H$, visited the city with $G$.
4. Both $E$ and $I$ visited the city on February 10th, while $E$ and $H$ visited the city on the same day of the week.

On which day did $B$ visit the city?

Source : time.com

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