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If \({sin^2\theta\over tan^2\theta-sin^2\theta}=5\), then the value of \(\frac{24\cos^2\theta-15\sec^2\theta}{6\ \rm cosec^2 \theta-7\cot^2\theta}\) is:

A sum of Rs 6000 is deposited for 3 years at 5% per annum, compound interest compounded annually. The difference of interests for 3 and 2 years will be (in Rs.)

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?

By selling an article for Rs. 1,170, Elisa suffers as much loss as she would have gained by selling it at a profit of 22%. If she sells it for Rs. 1,450, then her profit/loss per cent (correct up to one decimal place) is: