Daily Drills 22 - Section 22 - Question 2

Quore, Inc., must increase productivity 10 percent over the course of the next two years, or it will certainly go ban...

AlexanderX July 15, 2019

Why C is not correct

Obviously, we have to choose one of the condition as our sufficient and negate another one as our necessary. But why the C choice is not correct? Is there any order we have to follow before we chose a condition? Plz help me for that, thanks.

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Ravi July 30, 2019

@AlexanderX,

(C) says B - >not P10%

(C) is saying that failing to increase productivity 10 percent over
the next 2 years is a necessary condition for going bankrupt, but it's
not. It's a sufficient condition. It sounds like you may have the
process for either/or statements mixed up. You said that you take one
of the conditions, make it the sufficient, and then negate the other
one as the necessary condition. However, this is not correct.

What you do with either/or statements:

Take one of the conditions, NEGATE it, and make it the SUFFICIENT condition.

Take the other condition, and make it the necessary condition.

This is why (A) is correct.

We can take P10%, negate it, make it the sufficient condition, and
make B the necessary condition

not P10% - >B

Alternatively, we can take B, negate it and make it the sufficient
condition, and make P10% the necessary condition.

/B - >P10%

These statements are each other's contrapositive and are logically equivalent.

Does this make sense? Let us know if you have any more questions!