I have a cheque returned police case in Dubai, U.A.E. In the DS-160 form, what should I reply to:
Have you committed any crime?
How will they know about the Dubai police case?
Have you committed a crime?
Is the "cheque returned police case" a crime?
If so, the answer is yes even if minor. If no, and you haven't committed any other crimes, the answer is no. Lying will just make you less trustworthy and open a way to refusal.
US immigration authorities can obtain this information, so they will know.