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Could anyone please explain the below answers?

No one but (she,her) ever made a perfect score on the test.

ans :her

We thought the actress to be (she,her) but we weren't sure.

ans: her

She is one of those gifted writers who (turns,turn) out one best seller after another.

ans: turn
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gullianoNo one but (she,her) ever made a perfect score on the test.ans :her
Correct. But is a preposition in the sentence and all prepositions are followed by object forms: with me, about him, from us.
gullianoWe thought the actress to be (she,her) but we weren't sure.ans: her
Correct, but so is she. She is extremely formal, though. I remember Sir Humphrey Appleby using it in the marvellous British comedy series Yes, Prime Minister when he confessed to the prime minister something he had done in his youth: "It was I."
gullianoShe is one of those gifted writers who (turns,turn) out one best seller after another.ans: turn
Correct again.Emotion: yes One is singular, but the antecedent is writers.

CB
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Cool BreezegullianoWe thought the actress to be (she,her) but we weren't sure.ans: herCorrect, but so is she. She is extremely formal, though. I remember Sir Humphrey Appleby using it in the marvellous British comedy series Yes, Prime Minister when he confessed to the prime minister something he had done in his youth: "It was I."
Are you sure ? The question's from word power made easy and the book specifically says that she is incorrect.

I get the explanation for
It was I.

Here I is complement subject, so we don't use 'him'.

But does that apply to this sentence.

Thanks for your help. Emotion: smile
"Are you sure ?"
Yes. - CB
but isn't 'to' here a preposition? As preposition should be followed by
object form, isn't her the correct answer?

Thanks for ur time & patience. Emotion: smile
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no, 'to' is infinitive here.