Conclusion " eating a caramel is less likely to result in a cavity than eating a pretzel is."
Author arrives this conclusion by correlation.
The Longer Pretzels remains in contact with teeth- Greater the likelihood of the cavity.
Pretzels(P) are similar to Caramels(C) in this regard.
The Lesser Caramel remains in contact with teeth lesser the likelihood of a cavity.
But the clear flaw in the reasoning is may be P and C are similar but the correlation between P and Cavity cannot be drawn accross C and Cavity.
(B) relies on the ambiguous use of a key termThere is no ambiguous use of a key term even if we do not about terms like "cavity", "pretzels" or "Caramels" Argument can still be true. Argument does not depends on the key terms.
(C) makes a general claim based on particular examples that do not adequately represent the respective classes that they are each intended to represent"makes a general claim based on particular examples" - Correct a General claim that "The Lesser Caramel remains in contact with teeth lesser the likelihood of a cavity" is made as a conclusion by the author . But the second half of the sentence "do not adequately represent the respective classes that they are each intended to represent". We cannot say only these two adequately represent or does not represent the respective class. Author does not based the argument on sample size of these two.
(D) mistakes the cause of a particular phenomenon for the effect of that phenomenonAuthor Says If A occurs more frequently than likelihood of B occurrence is also more.
Here A - Pretzel contact with teeth and B- cavityA and C are similar.
C- Caramel contact with teethNow If C occurs less frequently than likelihood of B occurrence is also less.
There is no mistake in the cause and effect, Since A and C can individually leads to more or less likelihood of B. Author argument is based on since A and C are correlated therefore likelihood of more or less B depends on this coorelation.
E) is based on premises that cannot all be trueKeyword is
"all". We cannot say that this all can or cannot be true. May be some part of it can be true.Also the premise in the passage is generally true, otherwise the conclusion cannot be drawn based on the premise.
(A) treats a correlation that holds within individual categories as thereby holding across categories as wellA - Pretzel contact with teeth, B- Cavity and C- Caramel contact with teethMore A causes more likelihood of B. Correlation in individual category of A
A and C are related.
Less C causes less likelihood of B. Correlation in individual category of C.
Why? A and C are similar. Author assumes what is true for "A and C" should also be true for "B and C". Author is treating a correaltion in individual category of A as holding accross individual category of C. This is the flaw in the author's reasoning.