Logical Reasoning

PT135 · S1 · Q25 Interior decorator: All coffeehouses

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Interior decorator: All coffeehouses and restaurants are public places.

Given

All coffeehouses CH or R → P and restaurants are public places.

Most well-designed WD + P -most↣ FA public places feature artwork.

If a public place is P + ~C → ~WD uncomfortable it is not well designed.

All comfortable C + P → SI public places have spacious interiors.

25.

If all of the interior decorator's statements are true, then which one of the following must be true?

  1. Any restaurant that has a

    Reversal

    This reverses the R + SI → C fourth statement.

    5% picked this

  2. Most public places that feature

    Reversal

    This reverses the P + FA -most↣ WD second statement.

    5% picked this

  3. Most coffeehouses that are well

    Reversal

    While most public places that are well designed feature artwork, it does not follow that most coffeehouses that are well designed feature artwork. This reverses the first statement and assumes that all public places are coffeehouses.

    25% picked this

  4. Correct

    Any well-designed coffeehouse or restaurant

    Why this is right

    All coffeehouses are CH → P public places (first statement). All well-designed WD → C or ~P places are either comfortable or not public (third statement). If follows that any WD + CH → C + P well-designed coffeehouse is a comfortable public place. All comfortable public C + P → SI places have spacious interiors (fourth statement). It follows that any WD + CH → SI well-designed coffee house has a spacious interior.

    Skill tested: Must be True · how this choice captures the argument's function is the move to repeat next time.

    60% picked this

  5. Any coffeehouse that has a

    Reversal

    This reverses the CH + SI → WD inference from the first, third and fourth statements.

    5% picked this

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