It depends on the context. We cannot say from that one sentence which tense is appropriate.
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smarko1983 I used simple past in this sentence, and that is wrong:It isn't wrong if the sentence refers to past history.
smarko1983why is the "have also got" and "have begun" correct?It's correct if the sentence refers to recent past or past otherwise related to now.
smarko1983Here is the whole paragraph:And what were your answers throughout?
smarko1983Many computer users (get, also) have also got on the Internet and (begin) have begun communicating with other computer users around the world.I think you chose the correct forms throughout the text. In the specific sentence you asked about (above). I don't think the past simple is wrong but, without specific past-time reference, the present perfect