Solution:

The jeweler cut 3 links from the single 3-link chain and he obtained three single links. The he joined the remaining three 3-link chains using them. In such manner, he had to make just 3 cuts. Refer the picture to understand better.

Solution:

41312432

Solution:

Remove the same 2 matchsticks from each figure and move figure towards left 45 degrees, It forms the letters V W X Y.

Solution:

One of the cop will move clockwise while the other will move anti-clockwise every day. In such a manner, they will catch the thief in minimum seven days.

Solution:

Bond was suspicious of the women as one never knocks its own door at the hotel.

Solution:

You can ask this question to any one person, "if I ask the man who is next you: which is the correct way and the road to the village, what would the person next to you answer?"
If you happened to ask this question to the liar, he will show you the wrong way.
And if you happened to ask this question to the one who says truth, he will also show you the wrong way.
Once you are done with this, take the other way. This will lead you to the village

Solution:

C7 => B8
Exchange pawn for a knight

Check-Mate

GameOver

Solution:

The two numbers are 4 and 13 whose product is 52 and sum is 17.

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 password is U472BMT.

Read aloud the line and you will sound something like "U Four Seven 2 B M T".

Solution:

A Spider