Spend time with them. It is important to see in John 4 that the woman Jesus talked with was racially different than He was. She was from a different religion and was also known to be immoral. But none of these things stopped Jesus from reaching out to her. Talk about spiritual things.
Questions open up the door to talk, but remember the key to good questions is good listening.
If you are a good listener you will hear the person's thoughts and needs, and you can turn the conversation to spiritual answers, just as Christ did. Tell the Truth. Then share how they can receive Him. The Word of God is the only thing that will be effective in bringing people to Christ. A booklet that explains the gospel can be real helpful.