For the following questions answer them individually
When a = 61, b = 63 and c = 65, then what is the value of a$$^{3}$$ + b$$^{3}$$ + c$$^{3}$$ - 3abc?
If$$\frac{1}{x+2}=\frac{3}{y+3}=\frac{1331}{z+1331}=\frac{1}{3}$$, then what is the value of $$\frac{x}{x+1}+\frac{4}{y+2}+\frac{z}{z+2662}?$$
If$$\ x^{2}+\frac{1}{x^{2}}=\frac{7}{4}$$ for x > 0, then what is the value of x +Â $$\frac{1}{x}$$?
If x + y + z = 0, then what is the value of $$\frac{x^{2}}{yz}+\frac{y^{2}}{xz}+\frac{z^{2}}{xy}$$?
In ΔPQR, ∠P : ∠Q : ∠R = 1 : 3 : 5. What is the value (in degrees) of ∠R - ∠P?
A circular wire of length 168 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 5 : 7. What is the length (in cm) of the diagonal of the rectangle?
In ΔABC, a line parallel to side BC cuts the side AB and AC at points D and E respectively and also point D divide AB in the ratio of 1 : 4. If area of ΔABC is 200 cm$$^{2}$$, then what is the area (in cm$$^{2}$$) of quadrilateral DECB?
In the given figure, PB is one-third of AB and BQ is one-third of BC. If the area of BPDQ is 20 $$cm^{2}$$, then what is the area (in$$\ cm^{2}$$) of ABCD?