Find the normal valences for the elements given (C,H,N). Usually this information is just rote memorization or in a tabular form somewhere in your textbook or in a handout the Teacher provides.
Assume the three H's of CH3 are attached to carbon (C). Assume that there is some bond between carbon and nitrogen (N). Will it be a single bond? Double? Write out the Lewis dot structure for the CH3N radical and add sufficient hydrogens to pair up with the unpaired electrons on Nitrogen (N).
Your Lewis dot structure should have complete octets (8 valence electrons) for both Carbon and Nitrogen. Note that this is a little different than saying that there should be 8 valence electrons for the outer shell of the compound. Compounds should be written so that the elements that make them up have complete octets. Hydrogen only needs two electrons, by the way...
CH3NH2 is the correct answer.
Hint: use different symbols to represent the electrons from each of the different elements to help you keep track of where the electrons are coming from. eg. little dots for hydrogen, little open circles for carbon and little X's from Nitrogen...