weiyichen1986 Wrote:Hi, I am wondering can anyone diagram this question for me?
What i have is:
GH--->Kill prey
GH---->High ratio
Wild Cat(most)--->GH
DC(some)---->GH
can i infer from here that DC(some)---->High Ratio, which is D???
Your statements look good, though remember that "some" statements can work in either direction. So I would notate them:
1. Good Hunters ---> Kill Prey
2. Good Hunters ---> High Ratio
3. Wild Cats -most-> Good Hunters
4. Domestic Cats <-some-> Good Hunters
There are many things we can infer from these claims...
1+2 = Kill Prey <-some-> High Ratio
1+3 = Wild Cats -most-> High Ratio
2+3 = Wild Cats -most-> High Ratio
1+4 = Domestic Cats <-some-> Kill Prey
2+4 = Domestic Cats <-some-> High Ratio
While I would notate the conditional/quantified statements in the stimulus, during a test I would not notate all of the potential inferences - too much work!
Answer choice (D) combines statements 2+4 and as it is a "some" statement, it can be stated either forward or backward: some domestic cats have a high muscle-to-fat ratio or some cats with a high muscle-to-fat ratio are domestic.
Let's look at the incorrect answer choices:
(A) is an interesting answer choice in that for those who use Venn Diagrams, it may appear tempting.
While both options express versions of the idea that all good hunters have a high muscle-to-fat ratio, the option on the left makes it appear that some cats with a high muscle-to-fat ratio are not good hunters - though this does not have to be true as can be seen from the option on the right.
(B) is tempting if we believe that "some" statements refer to something less than half, but 98% of cats would still represent "some" cats. Some simply equals one or more.
(C) represents a negation of the 2nd statement.
(E) combines statements 1+2 but arrives at the wrong quantifier. It should have said "some."
Hope that helps!
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