"Did" is fine. " the dilemma" is OK if you are referring to a dilemma that has previously been mentioned; otherwise it should be " a dilemma". You do not need a space before the question mark.
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RazerIs it right to use "did" in this question. "Did you face the dilemma when you used that term ?"I'm wondering if the past continuous might have worked better. [Were you facing the dilemma when you used that term?] It's hard to tell, with no given context.
Thanks
RazerThanks for ur reply. Yes, u r correct world dilemma has been used before by the person I'm taking to. Thanks for clearing my doubt. Was half sure abt it.No texting abbreviations, please! This is an English site