Solution:

Valar Dohaeris

Explanation:
"Valar Dohaeris" is a phrase commonly used in Braavos, means "all men must die".
The common response of "Valar Dohaeris" is "Valar Dohaeris" means "all men must serve."

Solution:

This puzzle has no answer if you are considering this figure in a 2d domain. However if you follow it on a three-dimensional plane, you can do it like shown in the figure given.

Solution:

One Minute building

building 62 => Sixty second building => One minute building

Solution:

This is more of a philosophical question than being a riddle or a puzzle. The action of Brian directly led to the result which is the death of Chris. Thus he murdered Chris. In a sense, Chris died due to the lack of water. It is the circumstances that ultimately led to his death.

Solution:

At each draw, the number of strawberry candies are either decreasing by 2 or not decreasing at all. In the case of orange candies, at each draw, they are either increasing by 1 or decreasing by 1.

Thus on an assumed outset with at least one candy in the jar to begin with, if the number of strawberry candies are 0 or are even in numbers, they will finish off leaving an orange candy at the end. If otherwise, the remaining candy will be a strawberry one.

Solution:

2003.

Explanation:
Its a series of prime numbes.

Solution:

The Password.

Explanation:
Clues 2 and 5 are correct and rest are lies.

Solution:

It can be solved as below.

Solution:

Karate Kid (car + at + tea + kid)

Solution:

Step 5 is invalid, because we are dividing by (x-y), and since x=y, we are thus dividing by 0. This is an invalid mathematical operation (division by 0), and so by not following basic mathematical rules

Solution:

2 cakes

At each toll bridge you are required to give half of your cakes, and you receive one back. Which leaves you with 2 cakes after every bridge.