If m : n = 2 : 1, evaluate $\frac{3{{m}^{2}}-2{{n}^{2}}}{{{m}^{2}}+mn}$

Evaluate $2\sqrt{28}-3\sqrt{50}+\sqrt{72}$

If 6, P and 14 are consecutive terms in an Arithmetic Progression (A.P), find the value of P.

If 25_y = 1111_two ,find the value of y

Evaluate $\frac{{{\log }_{3}}9-{{\log }_{2}}8}{{{\log }_{3}}9}$

If T ={ Prime numbers} and

M = {odd numbers} are subsets of

$\mu =\{x:0<x\le 10\text{ and }x\text{ is an integer }\!\!\}\!\!\text{ }$find $(T'\cap M')$

If  7 + y = 4(mod 8). Find the least value if $10\le y\le 30$

Simplify, correct to three significant figures, ${{(27.63)}^{2}}-{{(12.37)}^{2}}$ 

Solve $\frac{y+1}{2}-\frac{2y-1}{3}=4$

 Evaluate ${{(0.064)}^{-\tfrac{1}{3}}}$