Monday, March 10, 2008

CR [Unknown]

(1) All A are B.
(2) Some B are C.

Which of the following is true?
(A) All A are C.

(B) No A are C.
(C) Some A are C.
(D) No C are A.
(E) None of the above.


Solution:

Venn diagrams are one way we can keep track of this type of information.

Let's examine the two rules we have:

(1) all A are B.

From this, we know that if something is A, it's also B.

(2) Some B are C.

From this, we know that there's at least one B that's also C.

If we put the two statements together, we don't know anything for sure. Could some A also be C? Sure, but it's not definite.

Let's use a real-life example to make that clear:

All Dogs are Mammals.

Some Mammals are Cats.

Does this mean that some dogs are cats? Of course not!


Link to the actual post: http://www.beatthegmat.com/cr-question-t9070.html

4 comments:

Unclutterist said...

Glad to see I'm not the only geek actually taking the time to explain problems in my blog.

BTG760 said...

You are welcome. Actually I thought of making unsolved or difficult questions offline logbook for myself in the word. Then I thought why should not I publish it, so including me anyone can access it from anywhere.

Though I am bit offtrack from past few days but today I am getting free and from tomorrow getting on the track.

flexilearner said...

Your strengths & weakness are almost similar to mine - propose that we share the plan & progress - would be helpful for both of us

BTG760 said...

hmm... you can mail me...

EmailID: btg760 at gmail.com