Logical Reasoning

PT153 · S3 · Q24 All of the one-way streets

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All of the one-way streets in the city have dedicated bike lanes.

Statements

conditionals (all, any, only)

one-way street → dedicated bike lane

dedicated bike lane → city buses don't travel

parking allowed → no dedicated bike lane

fact City bus #9 travels the full length of Batchelder Avenue

Evaluate

Whenever we see conditionals on Inference questions, we're asking ourselves two things: 1. Does this conditional chain to any other conditional? 2. Are there any facts I can apply this conditional to (usually via the contrapositive)?

In this case there are three conditionals and they do seem to have overlapping ingredients that could allow them to chain together.

no parking allowed one-way → dedicated → and street bike lane no city buses

The contrapositive chain

city bus no not a or → dedicated → one-way parking allowed bike lane street

This contrapositive chain can be applied to the fact we get in the final sentence.

If City Bus 9 goes the full length of Batchelder Avenue, then we know that Batchelder Avenue has no dedicated bike lane and is not a one-way street. (We have no idea if parking is or isn't allowed).

Goal

Look for anything provable, but the most likely answers would maximize the amount of synthesizing we can do:

- Batchelder Avenue is not one way - Batchelder Avenue has no dedicated bike lane

24.

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

  1. Batchelder Avenue is a one-way

    Contradicted

    Since there's a city bus that travels on Batchelder, we know that it's not a one-way street. city bus no not a or → dedicated → one-way parking allowed bike lane street

    1% picked this

  2. Correct

    Batchelder Avenue is not a

    Why this is right

    Since there's a city bus that travels on Batchelder, we know that it's not a one-way street. city bus no not a or → dedicated → one-way parking allowed bike lane street

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

    78% picked this

  3. Parking is allowed on Batchelder

    Unknown

    All we know about Batchelder is that a city bus travels its full length, which tells us that there's no dedicated bike land and that it's not a one-way street. But we have no idea whether or not parking is allowed. city bus no not a or → dedicated → one-way parking allowed bike lane street

    13% picked this

  4. Parking is not allowed on

    Unknown

    All we know about Batchelder is that a city bus travels its full length, which tells us that there's no dedicated bike land and that it's not a one-way street. But we have no idea whether or not parking is allowed. city bus no not a or → dedicated → one-way parking allowed bike lane street

    4% picked this

  5. Parking is not allowed on

    Unknown Relationship

    This answer is trying to posit a conditional relationship between "city bus" and "parking allowed" but there's no arrow connecting them at all. city bus no not a or → dedicated → one-way parking allowed bike lane street

    4% picked this

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