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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.)
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 and B alone can complete a piece of work in 4 days and 8 days, respectively. In how many days will the work be completed, if they both work on alternate days starting with A?
A man, a woman and a boy can complete a work in 3, 4 and 12 days, respectively. How many boys must assist one man and one woman to complete the same work in one day?
Two pipes can fill a tank in 15 hours and 4 hours, respectively, while a third pipe can empty it in 12 hours. How long (in hours) will it take to fill the empty tank if all the three pipes are opened simultaneously?