Quantifiers Questions - - Question 18

Human resources director:  While only some recent university graduates consider work environment an important factor ...

DominiqueDiane April 16, 2021

Can you demonstrate how to combine the statements in order to reach the appropriate answer choice?

The question does not include how to combine the statements, so I was wondering if this can be demonstrated?

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Victoria May 1, 2021

Hi @DominiqueDiane,

Happy to help!

Let's go line by line through the stimulus.

"[S]ome recent university graduates consider work environment an important factor in choosing a job"

Recent grads - some - Work environment important
Work environment important - some - Recent grads

"[A]ll [recent university graduates] consider salary an important factor"

Recent grads --> Salary important
Salary not important --> Not recent grads

"[T]he only workers who consider stress level an important factor in choosing a job are a few veteran employees." In other words, the only workers who consider stress level important are not recent grads.

Remember "the only" introduces a sufficient condition.

Stress important --> Not recent grads
Recent grads --> Stress not important

"[E]very recent university graduate considers vacation policy an important factor."

Recent grads --> Vacation important
Vacation not important --> Not recent grads

So, what can we conclude? Remember that we can combine an S&N statement with a quantifiers statement if the sufficient condition is common and the arrow points away from the quantifier.

Work environment important - some - Recent grads --> Salary important

Work environment important - some - Recent grads --> Stress not important

Work environment important - some - Recent grads --> Vacation important

Therefore, we can conclude that:

1) Some people who consider work environment an important factor also consider salary to be an important factor.

2) Some people who consider work environment an important factor do not consider stress to be an important factor.

3) Some people who consider work environment an important factor also consider vacation to be an important factor.

Notice that our third conclusion above is restated by answer choice (B), making it our correct answer.

Hope this helps! Please let us know if you have any further questions.