The correct answer is Option 3, i.e., ‘Tripti said she was going shopping and asked if she could get me something’.
The given sentence is in the Direct Speech because it quotes actual words.
Therefore, it has to be changed into Indirect Speech.
We notice that the reporting verb is in the Past tense (‘said’).
Moreover, the part in Direct Speech consists of two sentences- a statement and a question- both of which have to be changed to Indirect Speech.
When the Reporting verb is in the Past tense, the Simple Present tense is changed to the Simple Past tense (‘am going’ to ‘was going’ and ‘can’ to ‘could’).
If the reporting verb ‘said’ is followed by a noun/pronoun, it is usually replaced by ‘told’ followed by the same noun/pronoun in the Indirect Speech.
When a question is reported in the Indirect Speech, it is introduced by a verb like ‘asked’ in place of the reporting verb. And when it is a Yes/No question, ‘asked’ is followed by ‘if’ or ‘whether’.
The second sentence in the Direct Speech is reported in the Indirect Speech by joining it with the first sentence with a conjunction.
Therefore, the same sentence in Indirect Speech will be ‘She told me that she was going shopping and asked me if she could get me something’.
Option 3 is the right answer as it comes the closest to the above sentence.