1. Select the pair of sentences that relate logically with the given statement: Either Swetha is sick or she is careless.a) Swetha is not sickb) Swetha is not carelessc) Swetha is Sickd) Swetha is careless daabbaad

Identify the correct contrariety to each of the following proposition from the given choices. 36.All senators are in favor of divorce. A a. None of the senators are in favor of divorce. c. Some of the senators are in favor of divorce. b. All senators are in favor of divorce. d. None of them. 37. All eye diseases are contagious. A a. Some eye disease is not contagious. c. All eye disease is not contagious. b. No eye disease is contagious. d. None of them. 38. No propaganda is pure truth. C a. Some propaganda is pure truth. c. All propaganda is pure truth. b. Few propaganda is pure truth. d. None of them. 39. Rule number 2 is about the existence of the middle term in the subject of the? B a. middle term b. conclusion c. Major premise d. Minor premise 40. Some plants are organisms. (NOT VALID) But, animals are not plants. So, animals are not organisms. 41. In this syllogism, the fallacy is all about the? A a. Term b. Premise c. Conclusion d. process 42. RULE 4 states that the___________ must be universal in extension, at least once in the premises. A a. middle term b. minor term c. major term d. none Given E: Proposition Some lands are not productive - Some lands are unproductive 43. With reference to the Given E proposition, which of the pattern is correct? D a. E obverts to A b. I obverts to O c. A obverts to E d. O obverts to I 44. The following are elements of categorical proposition except one. Which item is it? B a. Subject b. Copula c. quantifier d. Predicate 45. It is that part of a proposition about which something is either affirmed or denied. D a. Subject b. Copula c. quantifier d. Predicate Given D: Proposition No honest man is untrustworthy - Every honest man is trustworthy. 46. With reference to the Given D proposition, which one is the correct pattern? C a. E obverts to A b. I obverts to O c. A obverts to E d. O obverts to I 47. Which of the following statements about the law of contrary opposition is NOT correct? C a. It cannot be true at the same time. If A is true, E is false. b. It cannot be true at the same time. If E is true, A is false. c. It can be false at the same time. That is, if A is false, E is doubtful. d. It cannot be true at the same time. If I is true, O is false. 48. The following statements about the law of contradictory opposition are correct except one. Which statement is it? B a. It cannot be both true; if A is true then O is false. c. It cannot be both false; if A is false then O is true. b. It cannot be both false; if E is false then O is true. d. It cannot be both true; if E is true then I is false. 49. The process of reasoning wherein the mind derives a new proposition from an existing proposition, with no new truth created. A a. inference b. judgment c. term d. definition 50. The following statements about logical opposition are correct except one. Which statement is it? C a. Contrary opposition exists between A and I. c. Subcontrary opposition exists between O and I. b. Contradictory opposition exists between A and O. d. Subaltern opposition exists between E and O.

Each question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.A : X is an actor. Some actors are pretty. X is pretty.B : Some men are cops. All cops are brave. Some brave are cops.C : All actors are brave. Some men are actors. Some men are brave.D : All actors are pretty. X is not an actor. X is not pretty.

Consider the following statements Anyone passing his math exams and winning the lottery is happy. Anyone who studies or is lucky can pass all his exams. Ravi did not study but he is lucky. Anyone who is lucky wins the lottery. Translate these sentences into predicate logic form. Convert them to Conjunctive Normal Form(CNF) if required. Prove by resolution that Ravi is happy

Let 𝑝 and 𝑞 be the proposition variables denoting𝑝: It is below freezing.𝑞: It is snowing.Write the following propositions using variables, 𝑝 and 𝑞, and logical connectives.a. It is below freezing and snowingb. It is below freezing but not snowingc. It is not below freezing and it is not snowing.d. It is either snowing or below freezing (or both).e. If it is below freezing, it is also snowing.f. It is either below freezing or it is snowing, but it is not snowing if itis below freezing.g. That it is below freezing is necessary and sufficient for it to besnowing

Identify the types of words in this group: either, or, because, and. A)    conjunctions B)    prepositions C)    interjections D)    conditions