Logical Reasoning

PT132 · S2 · Q19 In West Calverton, most

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In West Calverton, most pet stores sell exotic birds, and most of those that sell exotic birds also sell tropical fish.

Given

In West Calverton, most pet PS -most→ SEB stores sell exotic birds.

Most of those [pet stores] PS + SEB -most→ STF that sell exotic birds also sell tropical fish.

Any pet store there that sells PS + STF + ~SEB → SG tropical fish but not exotic birds does sell gerbils.

No independently owned IO + PS → ~SG pet stores in West Calverton sell gerbils.

19.

If the statements above are true, which one of the following must be true?

  1. Most pet stores in West

    Out of Scope

    The statements do not discuss pet stores that are not independently owned.

    4% picked this

  2. No pet stores in West

    Negation

    This negates the third PS + STF + SEB → ~SG statement.

    16% picked this

  3. Some pet stores in West

    Unsupported Relationship

    The third statement indicates SG ↢some↣ SEB that some pet stores in West Calverton that sell gerbils do not sell exotic birds, but that does not mean that some pet stores that sell gerbils do sell exotic birds.

    8% picked this

  4. Correct

    No independently owned pet store

    Why this is right

    This follows from IO + PS → ~(STF + SEB) the third and fourth statements.

    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 independently owned pet store

    Unsupported Relationship

    (E) is talking about indie stores that don't sell fish. Since they're indie stores, we know they won't sell gerbils (indie --> ~gerbil). But we don't learn anything by knowing it's a store that doesn't sell tropical fish. We don't have any rule for stores that DON'T sell tropical fish. So all we know about the stores (E) is talking about is that they don't sell gerbils. We don't know whether or not they sell exotic birds.

    11% picked this

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