Some senators were sitting around discussing the latest defense department budget. Several of them asked the vice
Question:
Some senators were sitting around discussing the latest defense department budget. Several of them asked the vice president how much the latest missile system cost the tax payers. The vice president, who was known to be a clever sort, wouldn’t tell them straight out, but instead gave them clues. Note the first digit is on the left
- The number is 10 digits long (there are no decimal points) and each digit is different
- The first third and fifth digits are powers of three (remember 30= 1 is a power of three)
- The first second third fifth and ninth digits are odd. The first second seventh and ninth digits are prime (remember the smallest prime number is 2)
- The sum of the seventh and ninth digits is the third digit.
- The first digit is not one, the second digit is not two, and so on with no digit occupying its numbered place up to the tenth digit is not 0.
- No number is adjacent to a consecutive number. So 1 is not next to 0 or 2, 2 is not next to 1 or 3 and so on.
How much did the missile system cost?
Fundamentals of Cost Accounting
ISBN: 978-1259565403
5th edition
Authors: William Lanen, Shannon Anderson, Michael Maher