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jn0r
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I just couldn't believe someone is testing me on such a concept.
Of course, I blundered it :shh:
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Hello experts,

Can't this question be considered as cause and effect question? please explain. Also, what is the contrapositive of the conclusion.
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Johnny1989
Can't this question be considered as cause and effect question? please explain.
It's not really a cause-and-effect question even though it does involve causes and effects since the logic supporting the correct answer doesn't involve any determination of whether one thing causes another.
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jn0r
If the city builds the proposed convention center, several national professional organizations will hold conventions there. And if several large conventions are held in the city, the total number of visitors will of course increase. Tax revenues will certainly increase if the number of visitors increases. Thus, building the convention center will increase the city's tax revenues.

The conclusion of the argument follows logically if which one of the following is assumed?

(A) If the number of visitors to the city does not increase, then the city's tax revenues will not increase.
(B) If the number of visitors to the city increases, then the amount of money spent by visitors will increase.
(C) The city's tax revenues will not increase unless the convention center is built.
(D) People who are now regular visitors to the city will continue to visit the city if the new convention center is built.
(E) If several national professional organizations hold their conventions in the convention center, those conventions will be large.


The argument:

If
the city builds the proposed convention center (will it happen?)=> several org will hold conventions there (Are they large?) => If several large conventions are held => the total number of visitors will increase => tax revenues will increase.

Conclusion: Building the convention center will increase the city’s tax revenues.



Pre-thinking:

The (hypothetical) conclusion is based on the hypothesis that the center will be built. It is therefore not a hidden/missing assumption.

While we know that “several” org will hold (several) conventions, there is a doubt as to whether they will be large.

Note that “IF” (hypothesis) such conventions are numerous and large, then the number of visitors will increase and consequently tax revenues will increase.


With that in mind, let us check what the options offers.



(A) If the number of visitors to the city does not increase, then the city's tax revenues will not increase.

We know as per premises that: Tax revenues will certainly increase if the number of visitors increases.
The increase in visitors is not necessarily a required condition for the effect (increase in tax revenues). This is just one condition enabling the effect. If it does not happen, the tax revenues could still increase by other means used by the city. We do not know or care. This does not help infer our conclusion and is therefore not our assumption. OUT


(B) If the number of visitors to the city increases, then the amount of money spent by visitors will increase.

We know as per premises that: Tax revenues will certainly increase if the number of visitors increases.
How tax revenues will increase is irrelevant. Note that the mere increase in visitors could increase the total spent without the amount spent by visitors increasing. They all pay the same low amount, but there are more visitors. OUT


(C) The city's tax revenues will not increase unless the convention center is built.

As specified above, the conclusion relies on the center being built. This is a hypothetical conclusion which already includes such hard premise. What happens in case the center is not built is not our concern.
Could tax revenues increase by other means used by the city? Sure, but it is out of scope.

Negate it=> The city's tax revenues will increase even if the convention center is not built.

It could still be true that building the center will increase tax revenues. The conclusion holds. OUT


(D) People who are now regular visitors to the city will continue to visit the city if the new convention center is built.

What if all the regular visitors are upset and stop visiting the city (negation), but there are so many new visitors attracted by the center, that the total number of visitors increases. In such case, building the center will still increase the tax revenues. The argument does not rely on regular visitors continuing to visit the city. OUT


(E) If several national professional organizations hold their conventions in the convention center, those conventions will be large.

This solves the gap in the argument. While we know as per premises, that several org will hold conventions there, we have no idea about their size. Now we add that such conventions will be large (missing premise).

=> If several large conventions are held, then the number of visitors will increase and consequently tax revenues will increase. CORRECT



I hope it helps
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