Problem #1
The product of four consecutive whole numbers is 3024. What are these numbers?
Problem #2
An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's by two digits, the 3's by three digits, and the 4's by four digits. What is the number?
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Solutions from 11/06/2014
Problem #1
A chauffeur always arrives at the train station at exactly five o'clock to pick up his boss and drive her home. One day his boss arrives an hour early, starts walking home, and is picked up by the chauffeur on the way out to the train station. They arrive at home twenty minutes earlier than usual. How long did she walk before she met her chauffeur?
Problem #2
Write a ten-digit number so that the first digit tells how many zeros there are in the number, the second how many ones, the third how many twos, and so forth.
Congratulations to Abhimanyu Bhargava, who was the winner of the last set of puzzles.
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