Brain Teasers
1. A box contains 3 identical pairs of black socks, 4 identical pairs of white socks and 5 identical pairs of blue socks. If you close your eyes and pull out socks from the box, what is the smallest number of socks that you need to pull out to ensure that you have at least one matching pair?
2. In how many distinct ways can you rearrange the letters in the word BANANA?
3. Three boxes are presented to you. At most one of them contains some gold. Each box has printed on it a clue about its contents. The clues are:
Box 1: The gold is not here.
Box 2: The gold is not here.
Box 3: The gold is in Box 2.
Only one clue is true; the other two are false. Which box has the gold?