If $$x=(\sqrt2+1)^{1\over3} $$, the value of $$(x^3-{1\over {x^3}}) $$ is

The value of $${\sqrt{40+\sqrt{9\sqrt{81}}} }$$ is

The area of a triangle with vertices A (0, 8), O (0, 0), and B (5, 0) is :

A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at : 

What is the area (in sq. cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm ?

In the given figure, from the point P two tangents PA and PB are drawn to a circle with center O and radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord AB is 5 cm. then what is the value (in degrees) of ∠COD?

A and B under took a work Rs 2200. A alone can do the work in 10 days and B alone can do the work in 12 days. If they work together, then what will be the difference (in Rs) in the amount they receive?  

For each 200 rupees spent by the research department, sales departments spend 20 rupees. For every 400 rupees spent by the sales department, the advertising department spends 150 rupees. The triple ratio of the money spent by the research department to the money spent by the sales department to the money spent by the advertising department can be expressed as: