[HELP]

1. A railway track runs parallel to a road until a bend brings the
road to a level crossing. A cyclist rides along to work along the road
every day at a constant speed of 12 miles per hour. He normally meets a
train that travels in th'e same direction at the crossing. One day he
was late by 25 minutes and met the train 6 miles ahead of the level
crossing. Can you figure out the speed of the train?





2. A friend of mine bought a used pressure cooker for Rs. 60. She
somehow did not find it useful and so when a friend of hers offered
her Rs. 70 she sold it to her. However, she felt bad after selling it
and decided


to buy it back from her friend by offering her Rs. 80. After having
bought it once again she felt that she did not really need the
cooker. So she sold it at the auction for Rs. 90. How much profit did
she make? Did she at all make any profit?





3. There is a number, the second digit of which is smaller than its
first digit by 4, and if the number was divided by the digits'sum,
the quotient would be 7 . Can you find the number?





4. A factory manufacturing flywheels for racing cars has ten machines
to make them. The manufacturer'knows the correct weight for a flywheel.
However, one day one of the, machine begins to produce faulty
parts-:-either overweight or under-weight. How can the manufacturer
find the faulty machine in only two weighings





5. Recently I attended the twelfth wedding anniversary celebrations of my good friends Mohini and Jayant.


Beaming with pride Jayant looked at his wife and commented, 'At the
time when we got married Mohini was 3/4th of my age, but now she is
only 5/6th We began to wonder how old the couple much have been at the
time of their marriage! - Can you figure it out? from machine number
two and so forth, and weigh these against the correct weight for that
number of parts