Sufficient & Necessary Questions - - Question 43

All highly successful salespersons are both well organized and self-motivated, characteristics absent from many sales...

Valerie October 4, 2016

How did we arrive to C?

(C) "No SP who are WK to their peers regret their career choices." WK ==> RCC NOT RCC ==> NOT WK But we know that if WK ==> HS, and ALL HS==> WO AND SM NOT HS==> NOT WK. NOT SM OR NOT WO==> NOT HS So how did we arrive to answer choice C if being WK means also being HS which requires BOTH WO AND SM, while C gives us only one (SM) of the two necessaries? SM ==> NOT RCC RCC ==> NOT SM This is where I see the problem: RCC ==> NOT SM ==> NOT HS ==> NOT WK ( this one is fine) but WK ==> HS ==> SM [here we would need the second necessary "AND WO"] ==> NOT RCC Please clarify. What am I doing wrong?

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Mehran October 5, 2016

@Valerie thanks for your message. Let's take a closer look.

"All highly successful salespersons are both well organized and self-motivated,"

HSS ==> WO & SM
not WO or not SM ==> not HSS

"characteristics absent from many salespersons who are not highly successful."

not HSS-some-not WO or not SM

"Further, although only those who are highly successful are well known among their peers,"

WKAP ==> HSS

Note: I used HSS here instead of HS because I know that the first S & N statement was about "highly successful salespeople" so I want to keep the variables consistent.

not HSS ==> not WKAP

no salespersons who are self-motivated regret their career choices.

SMS ==> not RCC
RCC ==> not SMS

Okay, now using these, we can create the following transitive chain:

WKAP ==> HSS ==> (WO &) SM ==> not RCC

Note: I put WO in parenthesis because it is SM that invokes the final part of the chain here.

Contrapositive of the chain is as follows:

RCC ==> not SM ==> not HSS ==> not WKAP

This allows us to properly conclude:

WKAP ==> not RCC
RCC ==> not WKAP

This is exactly what (C) states.

"No salespersons who are well known among their peers regret their career choices."

WKAP ==> not RCC
RCC ==> not WKAP

As such, (C) would be the correct answer.

Hope that helps! Please let us know if you have any other questions.

Valerie October 5, 2016

@Mehran ooooh... I see now. Thank you!

Gordon October 14, 2022

@Merahn....

"characteristics absent from many salespersons who are not highly successful."

not HSS-some-not WO or not SM

Please, did you work WO & SM--> HS, to arrive at your answer:

not HS--> not WO or not SM?

If so, I thought "people who are", always constitute a sufficient condition, making the diagram:
"characteristics absent from many salespersons who are not highly successful." to be:

not HS---> WO & SM

not WO or not SM-->HS?

OR,

not HS---> not WO & not SM, to be

WO or SM--> HS