[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 achines 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 mu31: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