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17 Jan 2025, 20:34
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B
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Question Stats:
66% (01:37) correct
34%
(01:53)
wrong
based on 354
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All of the one-way streets in the city have dedicated bike lanes. City buses do not travel on any street with a dedicated bike lane. Parking is allowed only on streets that do not have a dedicated bike lane. City bus number nine travels the full length of Batchelder Avenue.
If the statements above are true, which one of the following must also be true?
A. Batchelder Avenue is a one-way street.
B. Batchelder Avenue is not a one-way street.
C. Parking is allowed on Batchelder Avenue.
D. Parking is not allowed on Batchelder Avenue.
E. Parking is not allowed on any street on which buses do not travel.
A. Batchelder Avenue is a one-way street.
B. Batchelder Avenue is not a one-way street.
C. Parking is allowed on Batchelder Avenue.
D. Parking is not allowed on Batchelder Avenue.
E. Parking is not allowed on any street on which buses do not travel.
22 Jan 2025, 02:30
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Gigii101
All one-way streets -> Dedicated bike lanes --- (1)
Dedicated bike lane -> No city bus --- (2)
From 1 and 2,
All one-way streets -> No city buses --- (3)
Parking -> No dedicated bike lane --- (4)
City bus -> Batchelder Avenue --- (5)
Must be true?
A. Batchelder Avenue is a one-way street. Definitely incorrect from (3 & 5)
B. Batchelder Avenue is not a one-way street. This seems correct from (3 & 5), based on reverse causality (If city bus travels on a street then it's not a one-way street), let's hold it
C. Parking is allowed on Batchelder Avenue. This is an interesting choice, but on a closer look, it's not a must true statement. From 4, we know that parking is allowed on streets with no dedicated bike lane and Batchelder Avenue doesn't have a dedicated bike lane, but it's not necessary that parking will be allowed on all streets with no dedicated bike lanes, it may be but it's not required to be true.
D. Parking is not allowed on Batchelder Avenue. Similar reasoning as C holds true here, may be true but we don't know for sure.
E. Parking is not allowed on any street on which buses do not travel. This incorrectly translates (4), correct reverse causality will be that if a street has a dedicated bike lane then parking is not allowed, we can't comment on anything else apart from this.
IMO: B
bhaskar1999
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06 Oct 2025, 06:44
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A. Batchelder Avenue is a one-way street.
Contradicts the deduction: if it were one-way, it would have a bike lane, but we've deduced it doesn’t.
C. Parking is allowed on Batchelder Avenue.
Could be true, but not guaranteed: the premises tell us parking may be allowed if there’s no bike lane, but they don’t guarantee that every street without a bike lane allows parking.
D. Parking is not allowed on Batchelder Avenue.
Opposite of C: equally possible but not forced. No premise demands prohibition of parking on streets without bike lanes.
E. Parking is not allowed on any street on which buses do not travel.
Overreaches: the premises don’t link “no bus traffic” universally to “no parking.” Some streets might have no buses but no bike lanes, allowing parking.
Thus B is the only choice that must be true given all premises
(1) Every one-way street has a dedicated bike lane.
(2) Buses do not travel on streets that have a dedicated bike lane.
(3) Bus #9 travels the full length of Batchelder Avenue.
From (2) + (3): Batchelder cannot have a dedicated bike lane (because a bus would not go on a street with a bike lane).
By using the contrapositive of (1): If a street does not have a dedicated bike lane, then it is not a one-way street.
Since Batchelder has no bike lane, it must not be one-way.
Contradicts the deduction: if it were one-way, it would have a bike lane, but we've deduced it doesn’t.
C. Parking is allowed on Batchelder Avenue.
Could be true, but not guaranteed: the premises tell us parking may be allowed if there’s no bike lane, but they don’t guarantee that every street without a bike lane allows parking.
D. Parking is not allowed on Batchelder Avenue.
Opposite of C: equally possible but not forced. No premise demands prohibition of parking on streets without bike lanes.
E. Parking is not allowed on any street on which buses do not travel.
Overreaches: the premises don’t link “no bus traffic” universally to “no parking.” Some streets might have no buses but no bike lanes, allowing parking.
Thus B is the only choice that must be true given all premises
(1) Every one-way street has a dedicated bike lane.
(2) Buses do not travel on streets that have a dedicated bike lane.
(3) Bus #9 travels the full length of Batchelder Avenue.
From (2) + (3): Batchelder cannot have a dedicated bike lane (because a bus would not go on a street with a bike lane).
By using the contrapositive of (1): If a street does not have a dedicated bike lane, then it is not a one-way street.
Since Batchelder has no bike lane, it must not be one-way.
