If \({ sec^270° -cot^220°\over2{(cosec^259°-tan^231°)} }= {2 \over m}\)then m is equal to:
Reema sold 48 articles for Rs. 2,160 and suffered a loss of 10%. How many articles should she sell for Rs. 2,016 to earn a profit of 12%?
Akhil rides first 12 km at a speed of 16 km/h and further 6 km at a speed of 20 km/h. Find his average speed (in km/h).
If \(sin α + csc α = tan{\pi\over 3}\), then the value of (sin3α + csc3α) is equal to:
Pipe A can fill a tank in 16 minutes and pipe B can empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?