The average of three numbers is \[\left( \mathbf{9m}+\mathbf{8} \right)\]. Two of the three numbers are \[\left( \mathbf{2m}+\mathbf{3} \right)\] and\[\left( \mathbf{4m}+\mathbf{5} \right)\]. Express the third number in terms of m in the simplest form.
In the given figure, \[\angle \mathbf{A}=\mathbf{80}{}^\circ ,\text{ }\angle \mathbf{B}=\mathbf{60}{}^\circ ,\text{ }\angle \mathbf{C}=\mathbf{2X}{}^\circ \] and \[\angle \mathbf{BDC}=\mathbf{Y}{}^\circ \], BD and CD are bisectors of ZB and ZC respectively. Find the value of X and Y.
Which one of the following is equal to\[~{{\mathbf{2}}^{\mathbf{3}}}+{{\mathbf{2}}^{\mathbf{3}}}+{{\mathbf{2}}^{\mathbf{3}}}+{{\mathbf{2}}^{\mathbf{3}}}\] ?
There are 300 cats in a village and 75 of them are brown, 65 of them are black, 90 of them are white and rest of them are of mixed colours. What is the percentage of mixed colour cats in the village?