My uncle said to me, "How is your studies going on now?".
Answer: C
Correct answer: My uncle asked me how my studies were going on then
Four changes: said to becomes asked; the question order is dropped, so the subject comes before the verb; your becomes my; and now becomes then while is becomes the past. Studies is plural, so the verb is were.
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She said to him, "Where are you living"?
Answer: B
Correct answer: She asked him where he was living
Said to becomes asked, the inverted question order is straightened out, and are living moves back to was living. Was lived is a passive and has no place here.
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She said to me, "He mostly ignores me".
Answer: C
Correct answer: She said to me that he mostly ignored her
Me in the direct speech is the original speaker, so it becomes her. The present ignores then moves back to ignored. Keeping me would make the reporter the person ignored.
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Ali asked them, "Are you playing with me"?
Answer: C
Correct answer: Ali asked them if they were playing with him
A yes-or-no question needs if or whether; without it the reported clause has no link. You becomes they, me becomes him, and are playing becomes were playing.
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My younger sister says, "I do not tell a lie".
Answer: B
Correct answer: My younger sister says that she does not tell a lie
The reporting verb says is present, so there is no backshift - only the pronoun changes, from I to she. That change then forces do to agree as does.
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They said, "They have returned the books".
Answer: D
Correct answer: They said that they had returned the books
The present perfect have returned becomes the past perfect had returned. Had return is not a verb form, and the plain past returned loses the completed-before-the-report sense.
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