Another type of pension many seniors receive is Social Security. Up to 85 percent of your Social Security benefits can be taxed at the federal level depending on your income. The District of Columbia and 27 states (Alabama, Arizona, Arkansas, California, Delaware, Georgia, Hawaii, Idaho, Illinois, Indiana, Kentucky, Louisiana, Maine, Maryland, Massachusetts, Michigan, Mississippi, New Jersey, New York, North Carolina, Ohio, Oklahoma, Oregon, Pennsylvania, South Carolina, Virginia and Wisconsin) don’t tax Social Security.