Which one of the following statements most accurately characterizes a difference between the two passages?

VictoriaL on April 16, 2020

True V. False

Hi, I am having trouble with the practice problems supplied. Just as I thought I grasped the concept, #3 and #4 threw me off. #3 states: Each of the following could be false except: As per the video the correct answer is must be true and the incorrect answers would not necessarily be true. I thought it was the opposite (as per video lesson as well). Further elaborating, could be false is equivalent to not necessarily true; my logical thinking (seems like it's not that logical now ha) leads me to think that the correct answer is not necessarily true and the incorrect answers must be true. Same exact confusion relates to the fourth question.

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Skylar on April 16, 2020

@VictoriaL, happy to help!

It is important to note that #3 and #4 are both Bizarro questions, which means they ask for the one exception to the phenomena stated. These require slightly different logic than the first two questions.

#3: "Each of the following could be false EXCEPT"

You are correct that "could be false" is equivalent to "not necessarily true." However, this is a Bizarro question, so anything that could be false/is not necessarily true would be incorrect. The correct answer is the one exception to the statement that "the following could be false." To be an exception, the opposite must be true. The opposite of "could be false" is "cannot be false," which is equivalent to "must be true." Therefore, the correct answer will be the one that must be true.

Incorrect (4 answer choices): could be false = not necessarily true
Correct (1 answer choice): cannot be false = must be true

#4: "All of the following statements must be false EXCEPT"

"Must be false" is equivalent to "cannot be true." However, this is a Bizarro question, so we are looking for the one answer that is an exception to the answer choices all being "must be false" statements. This means that the four answer choices that must be false/cannot be true are incorrect. Again, the correct answer choice will be the exception. The opposite of "must be false" is "not necessarily false." The equivalent of "not necessarily false" is "could be true." Therefore, the correct answer will be the one that could be true.

Incorrect (4 answer choices): must be false = cannot be true
Correct (1 answer choice): not necessarily false = could be true

Does that make sense? Please let us know if you have any other questions!

VictoriaL on April 19, 2020

Yes! That was a great explanation. Thank you!