Puzzles contest - 99

[HELP]

1.here are two whole numbers, difference of their squares is a cube and
the difference of their cubes is a square. These are the smallest
possible numbers. Can you find the numbers?



2. I have two 10 paise coins. If 4/5 of what I have is 8/9 of what you have. how much do you have?



3. Four married couples 'played a tennis tournament of 'mixed doubles'.
A man and a woman always played against a man and a woman. However, no
person zver played with or against any other person more than once.
They all played together in two courts on three successive days.

Can you show how they could have done it?



4. Which would you say is heavier, a pound of cotton or a pound of gold?



5. Last time I visited a friend's farm near Bangalore he gave me a bag
containing 1000 peanuts. From this I took out 230 peanuts for myself
and gave away the bag with the remainder of peanuts to three little
brothers who live in my neighbourhood and told them to distribute the
nuts among, themselves in proportion to their ages-which together
amounted to 171/2 years. Tinku, Rinku and Jojo,
the three brothers, divided the nuts in the following manner: As often
as Tinku took four Rinku took three and as often as Tinku took six Jojo
took seven. With this data can you find out what were the respective
ages of the bQYs and how many nuts each got?

[seshubtech]

1. 1 0

2. 18 paise

4. Same

[Rena]

Hi,


3.

Day 1:

FIRST COURT:

First and fourth men against second man and second lady

SECOND COURT:

Thirdman and first lady against fourth man and second lady

Day 2:

FIRST COURT:

First man and fourth lady against thirdman and second lady

SECOND COURT:

Fourth man and first lady against second man and fourth lady

Day 3:

FIRST COURT:

First man and second lady against fourth man and third lady

SECOND COURT:

second man and first lady against third man and fourth lady.