Solution:

You must put labels on the tablets as A and B before using. In that case, if you pour tablets together, you will get 3A, 2A 1B, 1A 2B or 3B. If they are from the same bottles you can take one from another bottle and save the remaining two for another day. If you get two from same and one from other, you can draw one from another bottle and you will have two pairs of which you can eat one and save the other.

Solution:

It is a paradox and thus finding an answer of the question is totally in vain.

Solution:

The answer is very simple. All she had to do is take the fifteen cards from the top and reverse them. This would make another pile out of that and there will be two piles - one of 15 cards and one of 37 cards. Also both of them will have the same number of inverted cards.

Just think about it and if the mathematical explanation will help you understand better, here it is.
Assume that there were p inverted cards initially in the top 15 cards. Then the remaining 37 cards will hold 15-p inverted cards.
Now when she reverses the 15 cards on the top, the number of inverted cards will become 15-p and thus the number of inverted cards in both of the piles will become same.

Solution:

1296

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:

If you are thinking 5 times powerful, then you are in a completely wrong direction. The answer will be the square root of ten i.e. 3.16.

Thus if it was half a point higher on the Richter scale, the earthquake will be 3.16 times more powerful.

Solution:

He simply suggested that one of the brothers will be allowed to divide the land but he must take into consideration that it will be the other one who will have a choice of selecting his land between the two halves first.

Thus both will be happy in such manner.

Solution:

204

Solution:

If they are standing back to back, then it is possible.

Solution:

This quite an easy question and the answer is Rachel.

Since she is in the room, she is also a primate and being human, she is the smartest of all.