Two pipes A and B individually can fill a tank in 15 hours, and 12 hours respectively, and C can empty the full tank in 4 hour. If all three pipes are open at 8, 9, and 11 am respectively. At what time tank will be completely empty?

A person borrows Rs 4000 from a bank at 7 ½% per annum compound interest, compounded annually. At the end of every year, he pays Rs 1500 as part of the repayment of loan & interest. How much does he still owe to the bank after 3 such installments?

The angle of elevation of the top of a chimney and roof of the building from a point on the ground are x and 45° respectively. The height of buidling is h metre. Then the height of the chimney,(in metre) is

A and B together can do a certain work in 36 days, whereas B and C together can do it in 30 days. A, B and C together can complete the same work in 24 days. In how many days can A alone complete \(33 \frac{1}{3} \)% of the same work?