1. ## Logic Question

1. If all Quarks are Quirks and some Quirks are Quorks, which of the following is necessarily true?

(A) All Quirks are Quarks
(B) Some Quorks are Quirks
(C) Some Quorks are Quarks
(D) No Quarks are Quorks
(E) Cannot be determined

AND

2. In the Land of Oz, there are two kinds of beings – Munchkins, who always tell the truth; and humans, who always lie.
Polly tells Lucia “we are both humans.” Who is what?

(A) Both are human
(B) Both are Munchkins
(C) Polly is human; Lucia is a Munchkin
(D) Lucia is human; Polly is a Munchkin
(E) Cannot be determined

2. Although my logic is a bit rusty these days, I will say:

3. Well, Maud, you must be a Munchkin since your logic is pretty good. :-)

4. KW,

You must be human because I usually have no common sense!

5. Originally Posted by kweaver
1. If all Quarks are Quirks and some Quirks are Quorks, which of the following is necessarily true?

(A) All Quirks are Quarks
(B) Some Quorks are Quirks
(C) Some Quorks are Quarks
(D) No Quarks are Quorks
(E) Cannot be determined
Question is "Which of the following is necessarily true?" therefore a single false example eliminates the answer.
(A) No, Consider "All Squares are Rectangles"; reply "All Rectangles are Squares".
(B) Yes, Some A=B therefore some B=A. Classic Union of Sets.
(C) No, Consider "All Female Cows are Cows, some Cows are Male Cows"; reply "Some Male Cows are Female Cows".
(D) No, Consider "All Male Cows are Cows, some Cows are Mammals"; reply "No Mammals are Male Cows".
(E) No, (B) can be determined to be "necessarily true".

6. Originally Posted by kweaver
1. If all quarks are quirks and some quirks are quorks, which of the following is necessarily true?

(a) all quirks are quarks
(b) some quorks are quirks
(c) some quorks are quarks
(d) no quarks are quorks
(e) cannot be determined

and

2. In the land of oz, there are two kinds of beings – munchkins, who always tell the truth; and humans, who always lie.
Polly tells lucia “we are both humans.” who is what?

(a) both are human
(b) both are munchkins
(c) polly is human; lucia is a munchkin
(d) lucia is human; polly is a munchkin
(e) cannot be determined
b, c

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