A tap can fill a tank in 4 hours. Another tap can fill the same tank in 6 hours. If both the taps are opened at the same time, then in how much time will the empty tank be filled completely?

If \(sin {πx\over 2}=x^2-2x+2\), then the value of x is 

If tan A = 1/2 and tan B = 1/3, then the value of A + B is

A, B and C can individually complete a task in 24 days,16 days and 32 days respectively. If A and C start the work and worked for 6 days and left, then the number of days required by B to complete the remaining task, is :