Select the correct direct form of the given sentence.

Shyam asked me how I had persuaded his sister.

"How did you persuade my sister?" Shyam asked me. 

The correct direct form of the given sentence is:

"How did you persuade my sister?" Shyam asked me.

This is because direct speech is the exact words that someone spoke. In the direct form, the subject and tense of the verb do not change.

The other options are incorrect because they change the direct form of the sentence in some way:

• "How are you persuading my sister?" Shyam asked me. - This sentence changes the past tense to the present tense.
• "How did you persuaded my sister?" Shyam asked me. - This sentence removes the auxiliary verb "have."
• "How have you persuade my sister?" Shyam asks me. - This sentence changes the past tense to the present tense and removes the auxiliary verb "have."