Solution:

Caesar is a King
Brutus is a Spy
Cassius is a Bureaucrat

Brutus is not the king, since if he is, then Caesar would also be the king.
Cassius is not the king, since his statement would then be a lie.

Therefore Caesar is the king. Hence Cassius is the bureaucrat, and Brutus is the spy.

Solution:

888 + 88 + 8 + 8 + 8 = 1000

Solution:

It can be done in 8 moves as shown in the animated image below.

Solution:

Blue could only be wearing white or red and we know that there is already someone else wearing the white shirt so Mr. Blue could only be wearing the red shirt.

Mr. White could have only been wearing a blue or a red shirt, and red is already taken, so Mr. White is wearing a blue shirt.

Mr. Red now has to be wearing a white shirt.

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:

The mules is moving in circular path and hence outside legs travels more distance than inner legs.

Solution:

prinka is 10, in a system that awards five for each vowel.

Solution:

The answer is 'R'

It represents the gear stick. The number 1-5 represents gears and the last one thus should be reverse i.e. R.

Solution:

A Spider

Solution:

Move and then pour all juice from second glass to fifth glass.

Solution:

The Password.

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