Let's break down the statements.
Statement 1: "All young scientists are open-minded." (If a person is a Young Scientist (YS), they are Open-Minded (OM)).
Statement 2: "No open-minded men are superstitious." (The set of Open-Minded Men (OMM) and the set of Superstitious people (S) are disjoint).
Deduction from Statements: The first statement talks about "young scientists" (which includes men and women). The second statement talks about "open-minded men". From S1, we know young scientists are open-minded. So, young male scientists are open-minded men. From S2, we know open-minded men are not superstitious. Therefore, the only definite conclusion we can draw is: No young male scientists are superstitious.
Evaluating the Conclusions: \[\begin{array}{rl} \bullet & \text{Conclusion I: No scientist is superstitious. The statements only talk about "young scientists". We have no information about older scientists. An older scientist could be superstitious. So, I does not follow.} \\ \bullet & \text{Conclusion II: No young people are superstitious. The statements only talk about "young scientists". We have no information about young people who are not scientists (e.g., young artists, young business people). They could be superstitious. So, II does not follow.} \\ \end{array}\] Since neither conclusion is a logical certainty, the correct answer is that neither I nor II follows.
"In order to be a teacher, one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor."
Which of the following is true?
Statements: 1. All cakes are ice cream 2. No ice cream is chocolate
Conclusions: 1. Some cakes are chocolate 2. No cake is chocolate Choose the correct option:
Statements: All apples are fruits. All fruits are tasty.
Conclusions: 1. All apples are tasty. 2. Some tasty things are apples.
Consider the following statements followed by two conclusions.
Statements: 1. Some men are great. 2. Some men are wise.
Conclusions: 1. Men are either great or wise. 2. Some men are neither great nor wise. Choose the correct option:
How many triangles are there in the figure given below? 