Entry to 
Thursday
Lion Image Source, Unicorn Image Source
The Lion told the truth on Thursday when it said “yesterday (Wednesday), I was lying.” This matches the truth/lie schedule for Thursday.
The unicorn said “so was I” stating that it also lied yesterday (Wednesday) which is a lie because Wednesday is the day it tells the truth. Therefore, this also matches the truth/lie schedule for Thursday.
The murderer is the Mother
This one nearly broke my brain :-)
Today is January 1st. Stan’s birthday is December 31st. The day before yesterday is December 30th. Last year, Stan was 32 the day before his birthday (December 30th, which is also "the day before yesterday" since today is January 1st), then turned 33 on his birthday, December 31st of last year. This year he turned 34 on December 31st, and next year he will be 35.
I must pick a date where yesterday, the day before yesterday, and today can equate to multiple years. January 1st or December 31st must work for this scenario. Next, I must phrase my answer in such a way that can explain how Stan “was 32 the day before yesterday and next year he will be 35.”
The key is to select a pivotal date where today, yesterday, and the day before yesterday can equate to multiple years. When I select Jan 1st for today, that allow me to use last year, this year, and next year to try to account for 4 years of Stan’s age. If Stan is 35 next year, then he will be 34 this year, and therefore last year he was 33 and the “day before yesterday which is also the day before his birthday (December 30th) he was 32.
The man is a Catholic Priest
There is no possible way that the father of the mother can also be the father of the mother’s daughter. Therefore, I need think outside the box and determine who or what is also known as a “father?” Catholic priests are referred to as “fathers.”
Both you and your friend need a minimum of 5 apples each person. One would give 5 to the other which results in one person having 10 more than the other.
If two people need to have the same number of apples and the goal is for one person to have 10 more than the other, 10 has to the total minimum number of apples as a starting point. Anything less than 10 total apples will not work. For example, if there are 8 total apples, each would have 4. If one gives the other all 4 of her apples, the other person would only have 8 more. However, any even number that is greater than 10 also will work. For example, if there are 16 total apples, each would have 8. If one person gives away 5 apples, that person will have 3 remaining, while the other person will have 8+5 = 13. Therefore, one person will have 10 more apples than the other.
The key is when one person gives the other person 5 apples.
