Is it possible to use should in the main clause of untrue past conditionals? For example:

If you hadn't made that mistake,you should have passed your test.

As we know, would ,could or might can be used in the main clause of untrue past conditionals.Does it hold true for should ?

Original Post
2nd person, I'd use "would," as that would have been the normal consequence.

You could use "should" in:

A gentleman from Idaho: a drama in prologue and three acts‎ by Frank Carlos Griffith - American drama - 1889 - 48 pages

If you hadn't said that, you should have been scalped and gouged.

where it expresses a necessity as seen by the speaker.

However, as this is an older text, there's the possibility that "should" replaces in fact a present-day "would," expressing the speaker's expectation.
A more recent and better example is:

Fundamentals of sailing, cruising, and racing‎ - Page 366
by Stephen Colgate - Sports & Recreation - 1996 - 384 pages

If you hadn't reduced sail previously, you should have at least prepared for the
possibility of having to.

where "should" expresses a requirement, a must, as seen by the speaker, in a certain hypothetical situation. In this case, its use with 2nd person is justified.
If you hadn't made that mistake,you should have passed your test.

This does not seem right to me.

'If you hadn't made that mistake, you might/could/would have passed your test' is correct and logical.

You could use 'should' in a sentence like this, something like the one in Jerry's example:

  • If you made that mistake, you should have at least mentioned to your instructor that the question was poorly presented.

    It may be that the writer of the question is a speaker of British English. That might account for the 'should' instead of the 'would' in the past hypothetical.
  • Could it possibly mean this interpretation, Rachel?

    If you hadn't made that mistake, I expect that you would have passed your test.

    Since should can be used to express expectation, it seems to me that this is what may be meant -- although I think it's an awkward and uncommon use of this modal perfect for this meaning.

    Of course, we normally use this modal perfect when expressing advice opposite to what really happened, as in

    You didn't pass your test? Aha! I saw how little you prepared for it. You really should have studied much more.

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