(d)
Basicity of amines depends upon the availability of lone pair of electrons of nitrogen for donation. Electron releasing group increases the electron density over nitrogen, thus increases the basic character. 3${^\circ}$ methyl amine although contains three electron realeasing groups but is least basic because of steric hindrance. Hence, the order of basic character is
$\left( CH_{3} \right)_{2}NH > CH_{3}NH_{2} > \left( CH_{3} \right)_{3}N$