A jogger trains by running through several small towns. He runs two different routes from Alser to Bahnsen. He knows three different routes from Bahnsen to Corning. From Corning to Denton, he knows five different running paths. How many different paths does he know from Alser to Denton?
25) Two old men A and B met on the bus. A asked B if he could guess exactly the ages of A's sons and gave B clues:
A: I have three sons. The product of their ages is 36 and the sum of their ages is the number of the bus we are sitting in.
B: Of course I know the number of the bus, but I can't still guess their ages. Can you give one more detail?
A: The biggest child has blue eyes
B: Now I get it! Their ages are...
Knowing that A and B are very intelligent. Can you explain how B found their ages and tell me what is the number of the bus?
Maciej carries a bookmark with this table on it to help him remember his secret four digit number. If his secret number is 8526, all he has to do is to remember the words HELP. To retrieve his number, he looks up the letters of the word HELP and finds the corresponding digits in the top row of the table. Another example: The word LOVE can be used to help Maciej remember the secret number 2525. Maciej has to remember a new secret number. Only three of the following words produce this new number. Which one does not?
If you wanted to buy a new Harry Potter book, you had to hustle to the store to get in line.
Above is an alphametic where each letter stands for a digit between 0 and 9. Zero cannot begin a word.
Let A = 6, E = 9, and U = 2. What values for the other letters fit into this equation?