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1) quite a few -- I think all the ccd nikon dslr had 1/500 flash sync and a few could go much higher (my d70 could sync at 1/8000!) I think the current DX D7xxx can sync at 1/320. Then there is High speed Sync mode but I don't think that is what you mean. I have a feeling at the back of my teeth, that some of the later film SLR also could do 1/280 or 1/300 sync F4/F5/F6? maybe FE2 ? 2) not sure, I am guessing D3/D300 ?3) dunno - totally guessing 35mm?
2) D90 ?
Here's a good one: Name the three settings that can affect a RAW file, other than the exposure triangle and bit-depth settings (14/12, compression)