What work can one never finish?

There is an exact a week gap between Christmas and New Year. Hence, It is obvious that the new year that comes right after Christmas comes on the same day of the week.

A Strange thing happened in the Year 1777. Christmas occurs on Wednesday and New Year on Monday. How is that possible?

A pet show was happening in my locality. I went down along with my kids. In that show, I noticed that all except two of the entries were cats. All except two were dogs and all except two were Monkeys.

Can you find out how many of each animals were present in that pet show?

What has 88 keys?

Vin Diesel is pulling a theft and has planned to run away with all the cash kept in the safe. But the only way to open the safe is the 13 character password. He has a set of five clues given to him by a trustworthy source.

Exactly two of the below statements are false.
The password is contained within this sentence.
The password is not in this hint.
The password is within only one of these statements.
At least one of the above statements is a lie.

Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT

What can you catch but never throw?

As you can see that fifteen matches have been used to form an arrangement. What you have to do is remove any six of them to make them ten.

People make me, save me, change me, raise me. What am I?

I can be cracked, made, told, and played. What am I?