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The next time October 31 falls on a Saturday is in 2015.
The next Christmas that falls on a Tuesday will be in 2012. The next one after that will be in 2018.
The next time February 1 will fall on a Wednesday is in 2016.
At the time of answering this (2014), the next October 31 which falls on a Saturday will be in the year 2015. After that, October 31 will occur again on a Saturday in the year 2020.
Following 2010, the next time July 28 will fall on a Wednesday will be in 2020.
July 4th, 2018 will be on a Wednesday.
After 2010, the next time, it falls on Thursday is January 2016.
The next time 29 Feb falls on a Monday will be in 2044.
The next time January first falls on a Friday will be the year 2016.
The next time July 25 will fall on a Wednesday will be in the year 2018.
The last time it happened was in 2002.