Tuesday, March 11, 2008

SOME INTERESTING PUZZLES

A puzzle is a problem that challenges the skill and ability of a person. In a basic puzzle you piece together objects in a logical way in order to come up with the desired shape, picture or solution.Puzzles are often contrived as a form of entertainment, but they can also stem from serious mathematical or logistical problems. In such cases, their successful resolution can be a significant contribution to mathematical research. Solutions to puzzles may require recognizing patterns and creating a particular order. People with a high inductive reasoning aptitude may be better at solving these puzzles than others. Puzzles based on the process of inquiry and discovery to complete may be solved faster by those with good deduction skills.

Here are some puzzles that i found interesting and entertaining. Try to answer the questions without looking at the answers. I hope that it would be interesting!!!!!!!

1. Make the left arrangement look like the right arrangement by moving only 3 circles from the left arrangement.

2. Take a look at the sketch and tell how many triangles are there in the figure.

3. Here is an epitaph of the celebrated Greek mathematician of 250 A.D., Diophantus. Can you calculate his age from this?

DIOPHANTUS PASSED ONE SIXTH OF HIS LIFE IN CHILDHOOD, ONE TWELFTH IN YOUTH, AND ONE SEVENTH MORE AS A BACHELOR; FIVE YEARS AFTER HIS MARRIAGE A SON WAS BORN WHO DIED FOUR YEARS BEFORE HIS FATHER AT HALF HIS FINAL AGE.HOW OLD WAS DIOPHANTUS?

4. It was a day to celebrate and on this day a whole family met. The gathering consisted of one-grandfather, one grandmother, two fathers, two mothers, four children, 3 grand children, one brother, 2 sisters, 2 sons, 2 daughters, 1 father in law, 1 mother in law, 1 daughter in law. The gathering all together had 7 members. How can you explain it?

5. Is a 'size-16' knitting needle twice as thick as 'size-8' knitting needle?

ANSWERS

1. Assume that each ball is numbered as 1,2,3.... etc in ascending order in the left arrangement. Now to get the right arrangement just move ball 9 in place of ball 1, ball 7 in place of ball 2 and ball 10 in place of ball 3.

2. There are 47 different triangles.

3. Let us assume a is 'Diophantus' age. So a/6 + a/12 + a/7 + 5 + a/2 + 4 = a. On Solving this equation we get a=84. Hence Diophantus lived to be 84 years old.

4. There were 2 girls and a boy, their father and mother, and their father's father and mother.

5. No. Knitting needles confirm to the Standard Wire Gauge sizes and the larger the S.W.G number, the smaller is the diameter of the wire.

1 comment:

Shobhit said...

prb1 . what u mean by 7in place of 1,9 in place of2 and 10 in place of 3.is it swaping