IIT-JEE 2010 · Paper 1, Chemistry question 19

Groups in this form of lysine.

• $\ce{-NH3+}$ (side chain): already protonated, it is an acid (proton donor), not a base.
• $\ce{-NH2}$ (α-amino): a free amine, basic.
• $\ce{-COO-}$: a carboxylate, the conjugate base of the acid, basic (it can accept a proton).

So there are 2 basic groups.

Answer: 2