Site hosted by Angelfire.com: Build your free website today!

BOOK OF MATHEMATICS

Puzzles 9 & 10

Puzzle 9 : Problem on Starting a Business

Here is a question on business strategy.
There is an express way in Coastal California, which has houses and buildings only on one side of the road the other side being the ocean. Let us take an isolated stretch of this road 30 miles in length connecting points A and B. The distribution of houses and population on this stretch (on one side of the road) is absolutely uniform. This stretch does not have any burger joints (MAC or Burger King) at all. Then 'Buddy Burger' a Chicago based company invited applications from businessmen to franchise burger selling on this stretch.
First came businessman X. He assumes that no one else is going to start a joint on this stretch.
Which is the best place for him to position his 'Buddy Burger' joint?
After X showed results Y came in. He assumed that no one else is going to start a third joint on this stretch.
Which is the best place for him to position his 'Buddy Burger' joint?
Greed has it; Our man Z came in then assuming that no one else is going to start a fourth joint on this stretch.
Which is the best place for him to position his 'Buddy Burger' joint?
Remember that all three shops are identical in product offerings, ambience, price etc.
Can you think what will happen after all the three start running the shop ?

Send your solutions before January 1

Puzzle 10: Problem on Gold Coins again

Here is a tougher version of the "gold coins" problem
(Refer Puzzle 7).
Assume that there were only 5 goldsmiths. one, some or all of them might be cheating. Further, cheating could be by reducing one gram or adding one gram. I.e. the coins could be 7 gram or 9 gram, if they are not correctly made. The only consolation is that when a goldsmith cheats, he is consistent. I.e. if he is making 7-gram coins, all his coins will be 7 grams. Now the question is how you will find out all the guilty with details of the guilt in just ONE weighing !!!!!!

Send your solutions before January 15

Puzzles 1&2

Puzzles 3&4

Puzzles 5&6

Puzzles 7&8

Puzzles 9&10

Puzzles 11&12

Ans 1&2

Ans 3&4

Ans 5&6

Ans 7&8

Ans 9&10

Ans 11&12

 

LinkExchange
LinkExchange Member