Bunuel
There are rumors that the Premier will reshuffle the cabinet this week. However, every previous reshuffle that the Premier has made was preceded by meetings between the Premier and senior cabinet members. No such meetings have occurred or are planned. Therefore the rumors are most likely false.
Which one of the following most accurately expresses a principle of reasoning employed by the argument?
(A) When a conclusion follows logically from a set of premises, the probability that the conclusion is true cannot be any less than the probability that the premises are all true.
(B) A hypothesis is undermined when a state of affairs does not obtain that would be expected to obtain if the hypothesis were true.
(C) It is possible for a hypothesis to be false even though it is supported by all the available data.
(D) Even if in the past a phenomenon was caused by particular circumstances, it is erroneous to assume that the phenomenon will recur only under the circumstances in which it previously occurred.
(E) If two statements are known to be inconsistent with each other and if one of the statements is known to be false, it cannot be deduced from these known facts that the other statement is true
It is a tricky question and takes a few re-reads. At first, all options seemed wrong. The argument is pretty simple.
There are rumors that the Premier will reshuffle the cabinet this week.
All previous reshuffles were preceded by meetings between the Premier and senior cabinet members.
No such meetings have occurred or are planned.
Conclusion: The rumors are most likely false.
So the logic used is that if that is how it happened in the past, that is how it will happen in future too. We need something which says the same thing.
(A) When a conclusion follows logically from a set of premises, the probability that the conclusion is true cannot be any less than the probability that the premises are all true.
Incorrect. Our conclusion does not follow logically from the premises. Our premises needed another statement saying 'in future it will happen the way it happened in the past' for the conclusion to logically follow. So this cannot be the principle.
(B) A hypothesis is undermined when a state of affairs does not obtain that would be expected to obtain if the hypothesis were true.
The problem here is to identify what the hypothesis is. Note the first statement of the argument. The hypothesis is that "the Premier will reshuffle the cabinet this week". Now this all makes sense. The argument is undermining the hypothesis because the state of affairs (reshuffle) does not obtain that which it would be expected to obtain (meetings) if the hypothesis were true (if reshuffle had to happen). So this is the correct answer.
(C) It is possible for a hypothesis to be false even though it is supported by all the available data.
The hypothesis is not supported to available data.
(D) Even if in the past a phenomenon was caused by particular circumstances, it is
erroneous to assume that the phenomenon will recur only under the circumstances in which it previously occurred.
The argument assumes that it is
correctto assume that the phenomenon will recur only under the circumstances in which it previously occurred. Hence the principle of the argument is opposite to what is stated here.
(E) If two statements are known to be inconsistent with each other and if one of the statements is known to be false, it cannot be deduced from these known facts that the other statement is true
We don't know two statements which are inconsistent with each other.
Answer (B)