Question
Statements: At least some blue are red.
Some black are pink. Every red is black. None pink is green. Conclusions: I. At least some blue are pink. II. Some black are not green. III. 10% red are green. In the question, assuming the given statements to be true, find out which of the following conclusion(s) among the given four conclusions is/are definitely true and then give your answer accordingly.Solution
At least some blue are red (I) + Every red is black (A) → Some blue are black (I) + Some black are pink (I) → No conclusion. Hence conclusion I does not follow. Some black are pink (I) + None pink is green (E) → Some black are not green (O). Hence conclusion II follows. Every red is black (A) + Some black are pink (I) → No conclusion. Hence conclusion III does not follow.
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