If tanx = cot(50+3x), then what is the value of x ?

A student has to score 33% marks to pass. He gets 117 marks and fails by 81 marks. Find the student’s marks percentage?

A pipe can fill a tank in 72 minutes. But there is a leak in the bottom of the tank due to which the tank is filled in 18 minutes more. Find in how many hours the leak can empty a full tank ?

If $$ {\sqrt{1+{473\over{256}}}=1+{x\over 16}}$$ then what does x equal to ?

If $$ {\sqrt{4^{n}}=1024}$$, then the value of n is:

If $$ {x+{9\over x}=6}$$  then find the value of $$ {x^{2}+{1\over x^{3}}}$$

If $$ {tan\ θ={a\over b}}$$ then $$ {a\sinθ+b\cosθ\over{a\sinθ-b\cosθ}}$$  is

Sin (45 + θ) – Cos (45 – θ) is: