Is it wrong to lie when filling out personality questionnaires when seeking employment?

Here's an example of a common question: “True or False—Do you know anyone who has ever stolen anything?” The answer is obviously true, but It seems that my honest answers have not been getting me interviews. If I keep answering honestly, I am going to starve. If I say false, I get to eat. What is the best way to reconcile this dilemma? Should I continue to tell the truth or not?