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This is a straight forward deductive logic question asking for an inference/conclusion that can be derived from the given data. The option we are looking for must be true.
Stimulus:
Most single party countries have corrupt national govt.
Some multiparty countries also have corrupt national govts
All corrupt national govt countries have weak local govt.
If you want to forget the data and just focus on logic,
Most S are C.
Some M are C.
All C are W.
Before you move ahead, ensure you understand that the relation is as shown in the figure.
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(A) Every country with weak local govt. has a single political party.
i.e. All W are S - Not necessary.
(B) Some countries with weak local govts have multiple parties.
Some W are M. - Definitely true. Correct answer(C) Some countries with weak local govts do not have corrupt national govts.
Some W are not C. - Here, remember that the circle of W could overlap with C. In that case, there will be no W who are C. Hence this is possible but not necessarily true.
(D) Majority of countries with weak local govts are single party countries.
Most W are S. - Not necessary. It is true that most S are W but most W are S is not necessary. Look at the diagram.
(E) We do not know how many multiparty and single party countries are there so this is irrelevant.