A can do one-third of a work in 15 days, B can do 75% of the same work in 18 days and C can do the same work in 36 days. B and C work together for 8 days. In how many days will A alone complete the remaining work?

Find the value of \(cot30°+cot75°+cot45°-sin90°+sin45° \over sin60°+cos30°+ tan15°+cos45°\)

If \((2\space sin A+cosecA)=2\sqrt2\), where 0° < A < 90°, then the value of \(2(sin^4A+cos^4A)\) is:

Sudha bought 80 articles at the same price. She sold some of them at 8% profit and the remaining at 12% loss resulting in an overall profit of 6%. The number of items sold at 8% profit is: