Radio Astronomy Systems Research Group

Can you connect all of the dots in the grid below following these rules: ¹⁾

1. You have to connect all the dots with a continuous line (no pencil lifts)

2. You can't cross a line or use diagonals

3. The underscore is a space that you cannot go through

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Start with 4 white and 4 black stones in the order shown.

The goal is to have the stones alternate after only 4 moves:

Here are the rules for each move:

1. You must move two stones at a time.

2. Only adjacent stones may be moved.

3. Stones are only adjacent if the is no space between them

3. You must leave spaces if you create them. ²⁾

answer

There are five boxes filled with coins. All the coins look and feel identical. However, the coins in four of the boxes weight 10 grams each, while the coins in the fifth box weigh 11 grams each. You have a scale and can weigh any combination of coins. How can you determine which box holds the heavier coins in only a single weighing? ³⁾

answer