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While critics have written off the APG company’s new Model T chandelie

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While critics have written off the APG company’s new Model T chandelie  [#permalink]

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New post Updated on: 05 Nov 2018, 02:36
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Question Stats:

55% (01:16) correct 45% (01:27) wrong based on 298 sessions

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While critics have written off the APG company’s new Model T chandelier, owing to its poor sales across the globe, the Model T is actually not a complete failure because it has managed to sell 10,000 pieces in Eastern Europe, a market in which rival companies haven’t even managed to sell 5,000 pieces of their respective chandeliers.

Which of the following is assumed in the above argument?


(A) If a chandelier does not sell well in the Eastern European market, then it is a complete failure.

(B) The Eastern European market is the biggest market for chandeliers.

(C) If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.

(D) The Model T is the only type of chandelier manufactured by the APG company.

(E) If the Model T had not sold in good numbers in Eastern Europe, then it could have been considered a complete failure.



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Originally posted by carcass on 08 Dec 2017, 12:12.
Last edited by Bunuel on 05 Nov 2018, 02:36, edited 1 time in total.
Renamed the topic and edited the question.
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Re: While critics have written off the APG company’s new Model T chandelie  [#permalink]

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New post 08 Dec 2017, 19:37
1
carcass wrote:
While critics have written off the APG company’s new Model T chandelier, owing to its poor sales across the globe, the Model T is actually not a complete failure because it has managed to sell 10,000 pieces in Eastern Europe, a market in which rival companies haven’t even managed to sell 5,000 pieces of their respective chandeliers.

Which of the following is assumed in the above argument?

(A) If a chandelier does not sell well in the Eastern European market, then it is a complete failure.
(B) The Eastern European market is the biggest market for chandeliers.
(C) If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.
(D) The Model T is the only type of chandelier manufactured by the APG company.
(E) If the Model T had not sold in good numbers in Eastern Europe, then it could have been considered a complete failure.


A is wrong since it didn't convey the correct opposite meaning.
B is wrong since the argument provided no information to support that.
D provided an information, true or false, is irrelevant to the argument.
E is wrong since it follows the wrong logic: "If X then Y" => "If not X then not Y".
C is correct.
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Re: While critics have written off the APG company’s new Model T chandelie  [#permalink]

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New post 09 Dec 2017, 03:08
1
broall wrote:
carcass wrote:
While critics have written off the APG company’s new Model T chandelier, owing to its poor sales across the globe, the Model T is actually not a complete failure because it has managed to sell 10,000 pieces in Eastern Europe, a market in which rival companies haven’t even managed to sell 5,000 pieces of their respective chandeliers.

Which of the following is assumed in the above argument?

(A) If a chandelier does not sell well in the Eastern European market, then it is a complete failure.
(B) The Eastern European market is the biggest market for chandeliers.
(C) If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.
(D) The Model T is the only type of chandelier manufactured by the APG company.
(E) If the Model T had not sold in good numbers in Eastern Europe, then it could have been considered a complete failure.


A is wrong since it didn't convey the correct opposite meaning.
B is wrong since the argument provided no information to support that.
D provided an information, true or false, is irrelevant to the argument.
E is wrong since it follows the wrong logic: "If X then Y" => "If not X then not Y".
C is correct.


Hey Broall,
I marked option C as the OA. Just a thought. What is the negation of If X, then Y? Is it If X, then not Y.
(C) If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.
Negation- If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.
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Re: While critics have written off the APG company’s new Model T chandelie  [#permalink]

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New post 09 Dec 2017, 06:33
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sunny91 wrote:
Hey Broall,
I marked option C as the OA. Just a thought. What is the negation of If X, then Y? Is it If X, then not Y.
(C) If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.
Negation- If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.


Correct logic is: "If X, then Y" => "If not Y, then not X"
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Re: While critics have written off the APG company’s new Model T chandelie  [#permalink]

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New post 09 Dec 2017, 07:46
broall wrote:
sunny91 wrote:
Hey Broall,
I marked option C as the OA. Just a thought. What is the negation of If X, then Y? Is it If X, then not Y.
(C) If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.
Negation- If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.


Correct logic is: "If X, then Y" => "If not Y, then not X"


Hey Broall,
I agree with the logic "If X, then Y" => "If not Y, then not X. However, I was looking for the negation of option C that will destroy the argument in case of assumption.
Kindly let me know if my negation of option C is correct.
(C) If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.
Negation- If a chandelier sells well in the Eastern European market, then it can be considered a complete failure. So, the argument weakens. Please rectify if the negation is wrong.
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Re: While critics have written off the APG company’s new Model T chandelie  [#permalink]

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New post 09 Dec 2017, 19:05
sunny91 wrote:
broall wrote:
sunny91 wrote:
Hey Broall,
I marked option C as the OA. Just a thought. What is the negation of If X, then Y? Is it If X, then not Y.
(C) If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.
Negation- If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.


Correct logic is: "If X, then Y" => "If not Y, then not X"


Hey Broall,
I agree with the logic "If X, then Y" => "If not Y, then not X. However, I was looking for the negation of option C that will destroy the argument in case of assumption.
Kindly let me know if my negation of option C is correct.
(C) If a chandelier sells well in the Eastern European market, then it cannot be considered a complete failure.
Negation- If a chandelier sells well in the Eastern European market, then it can be considered a complete failure. So, the argument weakens. Please rectify if the negation is wrong.


Yep, I think you are right.
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Re: While critics have written off the APG company’s new Model T chandelie  [#permalink]

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New post 31 Oct 2018, 10:43
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Actually, the negation of "If X, then Y" is "If X, MAYBE not Y." Let me give you an example:

Proposed Conditional: If you play the lottery, you will win millions of dollars.

Do you agree with this proposed conditional? Probably not! So we want to negate it. Should we say "If you play the lottery, you will NOT win millions of dollars"? Wait, that doesn't seem right. People do win the lottery; it's just not a very common outcome. If we say "It's not true that if you play the lottery, you will win millions of dollars," what we mean is "It is possible to play the lottery and NOT win millions of dollars." The proposed sufficient condition (playing the lottery) can happen without the proposed necessary condition (winning millions).

Negated Conditional: If you play the lottery, you MAY NOT win millions of dollars.

Now what about a conditional that you think is wrong in ALL cases?

Crazy Conditional: If you are in China, you are in Africa.

WHAT?!? This is clearly false and we want to negate it, but it seems funny to say "If you are in China, you MAY NOT be in Africa," right? It feels better to say "If you are in China, you ARE NOT in Africa." Of course, that is true. However, the previous version (MAY NOT) is true, too. If you ARE NOT in Africa, then you MAY NOT be there. It's this weaker version that we can commit to every time that we negate a conditional. The stronger version may be true, too, but that's always the case with negations. Consider the negation of "I love today's popular music." The negation is "I do not love today's popular music." It may be the case that I *hate* this music, but that's additional information that's not required for a negation.

So, long story short:

NOT (X --> Y) = X --> MAYBE NOT Y
or
NOT (X --> Y) = X is possible without Y
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Re: While critics have written off the APG company’s new Model T chandelie &nbs [#permalink] 31 Oct 2018, 10:43
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