Solution:

Need for Speed.

Explanation:
Clearly, ds/dt refers to speed. Concluding with whats written already, the movie name is Need for Speed.

Solution:

White should move the rook from
A1 to D1 and hence complete the castling move.

Solution:

At 01:05

Solution:

Put one black rock in one sack and put all the rest in the other one. In such manner you will get about 3/4 probability of surviving.

Solution:

Since each one of them gave one answer wrong, this means that each one of them gave two answers right.

Let us assume that Student A gave a wrong answer to the first question. This will mean that Student B also gave a wrong answer for the first. This will conclude that the rest of the two answers given by them are correct. However, the answers are different and thus it is not possible.

Thus both Student A and Student B must be right with the first question and the answer to the first is two.

If you keep applying the same logic, you will come to a conclusion that following are the correct answers:
Q1. Two
Q2. Three
Q3. Two

Solution:

8/(1−1/5)

Solution:

The attached picture gives away the solution. If you can find another solution, do send us yours.

Solution:

Daughter.

Solution:

The brain teaser can be solved as shown in the image below.

Solution:

From top to bottom, the flavors are :

nutty-chocolate
peppermint
orange
Jamaica
walnut

Solution:

Everyone will done one day or other.

Abraham Lincoln era is too old and we expect most of them(if not all) to be dead by now.