[HELP]

1. The sum ot two numbers is ten. Their product is twenty. Can you find the sum of the reciprocals of the two numbers?





2. Is it possible that there are 53 Tuesdays in a non-leap year? What is the probability?





3.A friend of mme asked me to write down any multidigit number. But, he
put a condition, the number should not end with a zero.I put down the
number 96452Then he asked me to add up the five digits and subtract the
total from the original number. I did and here is what I got: 96452 -
26 = 96426 He then asked me to cross out anyone of the five digits
and tell him the remaining numbers. I crossed out the 2 and told him
the rest of the digits. I neither told him the original number nor what
I had done with it. Yet 'pop' he told me the exact number I had crossed
out.


How do you explain it?





4. It was Mammu's birthday and I decided to buy for her some sweets.
There was an old woman in the candy shop. I noticed something very
strange, while she was weighing out the sweets. She had just six
wieghts and a balance scale. That's all she had. With just this she was
able to weigh any unit number of ounces of candy-right from 1 to 364.


Can you say what the six weights were?





5. Here is an epitaph of the celebrated Greek mathematician of 250
A.D., Diophantus. Can you calculate- his age from this? DlOPHANTUS
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 IS DIOPHANTUS?