If x²+4y²=17 and xy=2, where x>0,y>0, then what is the value of x³+8y³?

3¹¹ + 3¹² + 3¹³ + 3¹⁴ is divisible by which of the following?

A rectangular LCD has an area of 480 $${{cm^2}}$$ and a perimeter of 92 $${{cm^2}}$$ . If the size of the LCD is defined of the diagonal, then what the size of the LCD?

The value of $$ {tan\ 40°+tan\ 20° +\sqrt{3}\ tan20° tan40°}$$?

At what rate per annum will Rs. 32000 yield a compound interest of Rs. 5044 in 9 months interest being compounded quarterly?

If $$64^{x+1}={64\over 4^x}$$, then the value of x

The average of six numbers is 3.52. The average of two of them is 3.7, while the average of other two is 2.5. What is the average of the remaining two?

A 300-meter-long train moving with an average speed of 126 km/hr. crosses a platform in 24 seconds. A man crosses the same the same platforms in 5 minutes. What is the speed of man in meter/second?