@kidarby we would diagram the first sentence as follows:
"If Suarez is not the most qualified of the candidates for sheriff, then Anderson is."
not SMQC ==> AMQC not AMQC ==> SMQC
"Thus, if the most qualified candidate is elected and Suarez is not elected, then Anderson will be."
PR: MQC ==> E not E ==> not MQC
P: S = not E not E ==> not SMQC
So not SMQC ==> AMQC
C: AMQC ==> E
(B) exhibits this exact patter of reasoning:
"If the lowest bidder on sanitation contract is not Dillon, then it is Ramsey."
not DLBSC ==> RLBSC not RLBSC ==> DLBSC
"So if the contract goes to the lowest bidder and it does not go to Dillon, then it will go to Ramsey."
PR: LB ==> C not C ==> not LB
P: D = not C not C ==> not DLBSC
So not DLBSC ==> RLBSC
C: RLBSC ==> C
Notice that you are given either/or options for most qualified (stimulus) and lowest bidder (B).
We are then told that if this criterion (i.e. most qualified/lowest bidder) is elected (stimulus) or awarded the contract (B) and it is not one of our two options (i.e. Suarez/Dillon), then it must be the other (i.e. Anderson/Ramsey).
Hope this helps! Please let us know if you have any other questions.