Solution:

Although it looks complicated, the answer is simple. The password to his computer is JIGSAW.
1st letter of Jug = J
2nd letter of Birthdays = I
3rd letter of Fights = G
4th letter of Cars =S
2nd letter of Laptops = A
1st letter of Watch = W

Solution:

It was easy as it was daytime. They did not need headlights or the light on the number plate.

Solution:

Diwali was celebrated as a mark of Lord Krishna win over the Narakasuna by killing him. Now Krishnavathaar comes after Raamavathaar in the Dasavataar. Therefore, Lord Rama could not have celebrated Diwali.

Solution:

Look at her hand. She has five fingers besides the obvious thumb that is not visible. This is not possible and that is what is wrong with the picture.

Solution:

This picture comprises of 31 hands and 155 fingers.

Solution:

Source Code.

The movie name is - Source Code. Well, if you are even a bit technical or have managed blogs or websites, it was not so difficult to guess that. Right?

Solution:

We believe you know that square is also a rectangle.

Solution:

The number 20 fits in place of question mark.

This is because (number in first column) / (number in second column) * 8 = number in third column.

Here (left number / middle number) * 8 = right number
E.g. (35 / 20) * 8 = (7/4) * 8 = 7 x 2 = 14
The same process can be used to find out the missing digit.

Solution:

In the picture you can see which matchsticks we have moved.

Solution:

The sword could not have the words 'World War I' engraved on it. At that time, only one world war had taken place. No one knew that a second was to happen in future. Thus if it was engraved, the mention of the number was impossible.