Solution:

Yes, some people are going get really tiny pieces but you were allowed for that right. Also, there is another way of doing it. Can you think of it?

Solution:

You might be laughing by looking at the answer now. This is how you would have trashed the figure if you were unable to solve it right? But did you know that this could possibly give you the required solution?

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:

To do it, the marbles must be arranged as the vertices of an octahedron. If you are unsure, check the image below.

Solution:

The solution is one of the possible way. Can you find an alternate solution?

Solution:

Move the coins as given in the figure and you will get the required result.

Solution:

See the figure for the answer. Wasn't it a bit tricky?

Solution:

98

Explanation : ab + a(a-1)
7 * 8 + 7(7-1)
= 56 + 42

Solution:

The slot number in which the car is parked is 87. Just invert the image and you will know why.

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.