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Why 'C' is not right?

A person who is staying in a house and not paying the rent may not be necessarily be the owner. He may be a defaulter.

Similar to the question, Lester might not have received the raise but it doesn't mean that she received a poor performance evaluation.

Can anyone explain why 'E' is answer instead?
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Quote:
No one who works at Leila's Electronics has received both a poor performance evaluation and a raise. Lester has not received a raise, so it must be that he has received a poor performance evaluation.

The flawed reasoning in the argument above is most similar to the reasoning in which one of the following arguments?

The given argument is illogical since it is possible that if do not own a house, can live rent free in it. For. e.g. parents own the house, but children live rent free in it.


Quote:
(A) No one who lives in a house both owns it and pays rent on it. So, since my next-door neighbors pay rent on their house, it must be that they do not own it.
This argument is logical, since if paying rent, then cannot own the house.


Quote:
(B) No one who lives in a house both owns it and pays rent on it. My next-door neighbors own their house. Therefore, it must be that they do not pay rent on it.
This argument is logical, since if own the house then cannot pay rent on it too.


Quote:
(C) My neighbors have not paid any rent on their house. Since anyone who lives in a house but does not rent it owns it, it must be that they own it.
The highlighted part is not parallel in structure to No one has received both a poor performance evaluation and a raise.


Quote:
(D) My next-door neighbors do not own their house. Since no one who lives in a house both owns it and pays rent on it, it must be that my next-door neighbors pay rent on their house.
Parallel to the given stimulus and hence the correct answer option.


Quote:
(E) Anyone who lives in a house but does not own it pays rent on it. My next-door neighbors do not own their house. Therefore, it must be that they pay rent on it.
The highlighted part is not parallel in structure to No one has received both a poor performance evaluation and a raise.
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L rest:- PP and Raise. 1G doesnt get raise , then she must have PP.

similarly in house both thing rent and ownership. if someone doesn't pay rent,, then they must owner.
Or if someone doesn't;t owns the house must pay the rent.
both cases are true/Correct.



(A) No one who lives in a house both owns it and pays rent on it. So, since my next-door neighbors pay rent on their house, it must be that they do not own it.
its about paying the rent -incorrect
(B) No one who lives in a house both owns it and pays rent on it. My next-door neighbors own their house. Therefore, it must be that they do not pay rent on it.
same as A - incorrect
(C) My neighbors have not paid any rent on their house. Since anyone who lives in a house but does not rent it owns it, it must be that they own it.
Incorrect- mention that they don't rent means they own it .
(D) My next-door neighbors do not own their house. Since no one who lives in a house both owns it and pays rent on it, it must be that my next-door neighbors pay rent on their house.
similar reason - COrrect as was first thought in prethinking
(E) Anyone who lives in a house but does not own it pays rent on it. My next-door neighbors do not own their house. Therefore, it must be that they pay rent on it.
same problem as C - incorrect

IMO-D
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Pre-thinking:

Let
Poor performance evaluation = X
Raise = Y

The argument is as follows:

X --> Not (Y)
Y --> Not (X)

We know that if A --> B, then Not (A) does not imply Not (B). The flawed argument is exactly that ie;

Lester Not (Y) --> X [ie; Not (Not (X))]. Therefore, we need another argument which states A --> B and Not (A) --> Not (B). Let us examine the answer options, in which:

Let
Owns house = X; Pays rent = Y.


(A) No one who lives in a house both owns it and pays rent on it. So, since my next-door neighbors pay rent on their house, it must be that they do not own it.
The argument states:

X --> Not (Y)
Y --> Not (X)
Since, Y --> Not (X)
This does not replicate the flaw in the original argument. Eliminate.


(B) No one who lives in a house both owns it and pays rent on it. My next-door neighbors own their house. Therefore, it must be that they do not pay rent on it.
The argument states:

X --> Not (Y)
Y --> Not (X)
Since, X --> Not (Y)
This does not replicate the flaw in the original argument. Eliminate.


(C) My neighbors have not paid any rent on their house. Since anyone who lives in a house but does not rent it owns it, it must be that they own it.
The argument states:

Not (Y) --> X
Since, Not (Y) --> X
This does not replicate the flaw in the original argument. Eliminate.


(D) My next-door neighbors do not own their house. Since no one who lives in a house both owns it and pays rent on it, it must be that my next-door neighbors pay rent on their house.
The argument states:

X --> Not (Y)
Y --> Not (X)
Since, Not (X) --> Y
This replicates the flaw in the original argument and is the correct answer.


(E) Anyone who lives in a house but does not own it pays rent on it. My next-door neighbors do not own their house. Therefore, it must be that they pay rent on it.

The argument states:

Not (X) --> Y
Since Not (X) --> Y
This does not replicate the flaw in the original argument. Eliminate.


Hope this helps.
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