If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$

Four years ago, the age ratio of A and B was 2: 3 and after four years this ratio will be 5: 7. What is his present age?

A crosses a rectangular field at a speed of 52 m / min along its diagonal in 15 seconds and B crosses the ground at the same time by walking at a speed of 68 m / min along its arms. The area of the field is

If $$ {a={1+x\over 2-x}}$$, then find the value $$ {1\over {a+1}}+{2a+1\over{a^{2}-1}}$$ ?

A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-

Kundan, Dharma and Guard start a venture together. Dharma and Guard invest 4,000 and 3,000 respectively while Kundan invests 1,000 initially and after 6 months withdraws his capital and decides to work as working partner with 30% stake in the profit. If Kundan gets 800 at the end of the year, what was the total profit? 

A sum of money at simple interest amount to Rs.4800 in 3 years and Rs.5600 in the 5 years. The sum is

If sin²a = cos³a then the value of cot⁶ a – cot²a?