The answer is: True

The original significance of 25th December is that it was a well-known festival day celebrating the annual return of the sun. 21st December is the winter solstice (shortest day of the year and thus a key date on the calendar), but 25th December is the first day that ancients could clearly note that the days were definitely getting longer and the sunlight was returning. On this day the Romans worshipped the 'Unconquered Sun' or Sun god.

The date for Christmas was chosen by the Roman Catholic Church. Because Rome dominated most of the "Christian" world for centuries, the date became tradition throughout most of Christendom.

So, why was 25th December chosen to remember Jesus Christ's birth? Since no one knows the day of his birth, the Roman Catholic Church felt free to choose this date. The Church wished to replace the pagan festival with a Christian holiday. The psychology was that is easier to take away an unholy (but traditional) festival from the population, when you can replace it with a good one.