1. Tell me where she lives.

2. He asked me how she should do.

3. He showed them how to open the bottle.

4. Do you know why he was late?

5. I don't remember when she arrived.

6. I wonder how he open the door.

7. I doubt why he didn't come here.
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Would you check the sentences? Are they all grammatical?

All are correct.

I'm not sure of the meaning of #7, but grammatically, it's correct.

Let's analyze each sentence one by one to determine their grammaticality:

1. Tell me where she lives.
This sentence is grammatically correct. It is a direct question asking for the location of the person's residence.

2. He asked me how she should do.
This sentence is not grammatically correct. It should be rewritten as "He asked me how she should do it."

3. He showed them how to open the bottle.
This sentence is grammatically correct. It describes an action where someone taught others how to open a bottle.

4. Do you know why he was late?
This sentence is grammatically correct. It is a direct question asking for the reason behind someone's lateness.

5. I don't remember when she arrived.
This sentence is grammatically correct. It states a lack of recollection regarding the time of someone's arrival.

6. I wonder how he open the door.
This sentence is not grammatically correct. It should be rewritten as "I wonder how he opened the door."

7. I doubt why he didn't come here.
This sentence is not grammatically correct. It should be rewritten as "I doubt why he didn't come here."

In summary, sentences 1, 3, 4, and 5 are grammatically correct, while sentences 2, 6, and 7 need minor revisions to be grammatically accurate.