A person, standing exactly midway between two towers, observes the top of the two towers at angle of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower? (Given that tan 22.5° = $\sqrt{2}-1)$

Vijay can complete a work in 20 days, what percentage of the work would be completed in 6 days?

To complete a work A and B takes 8 days, B and C take 12 days, A, B and C take 6 days. How much time A and C will take

12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days.

4 men and 5 boys can do a piece of work in 20 days while 5 men and 4 boys can do the same work in 16 days. In how many days can 4 men and 3 boys do the same work?

Rajesh alone can do a piece of work in 6 days and Ramesh alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of Suresh, they completed the work in 3 days. How much is to be paid to Suresh?

Mr. A and Mr. B can do a piece of work in 8 and 12 days respectively. If both of them work together, in how many days the work will get completed ?

A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

How many times will minute hand and hour hand opposite in one day?

A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group?

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

Three men, four women, and six children can complete a work in 9 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 9 days?

A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ?

Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. If the boy is paid at the rate of 28$ a week, what should be the wages of the girl a week ?