This quiz works best with JavaScript enabled. Home > Unit V Mathematical Reasoning And Aptitude > Mathematical Logic – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Mathematical Logic Quiz 7 (10 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The equivalent statement formed by negating the hypothesis and conclusion of the converse of a conditional statement A) Inverse. B) Converse. C) Conditional Statement. D) Contrpositive. Show Answer Correct Answer: D) Contrpositive. 2. A logical argument that shows a statement is true A) Conditional Statement. B) Proof. C) Truth Value. D) Conjecture. Show Answer Correct Answer: B) Proof. 3. A statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. A) Undefined terms. B) Defined terms. C) Axioms and postulates. D) Theorems. Show Answer Correct Answer: C) Axioms and postulates. 4. If you drive safely, then the life you save may be your own. (2) AJ drives safely. (3) The life AJ saves may be his own. Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid? A) Law of Detachment. B) Law of Syllogism. C) Law of Contrapositive. D) Invalid. Show Answer Correct Answer: A) Law of Detachment. 5. What is the contrapositive of the statement: "If a figure is a triangle, then it has 3 sides."? A) If a figure has 3 sides, then it is a triangle. B) If a figure is not a triangle, then it does not have 3 sides. C) If a figure does not have 3 sides, then it is not a triangle. D) If a figure is a triangle, then it does not have 3 sides. Show Answer Correct Answer: C) If a figure does not have 3 sides, then it is not a triangle. 6. If the binding of the book is broken, then the student will have to pay for a new one. Michael has to pay for a new book, so he concludes the binding on his book is broken. Is he correct? A) Yes. B) No. Show Answer Correct Answer: B) No. 7. Mr. Nguyen is a cat.All cats can meow.Therefore, Mr. Nguyen can meow. A) Valid and Sound. B) Valid and Unsound. C) Invalid and Sound. D) Invalid and Unsound. Show Answer Correct Answer: B) Valid and Unsound. 8. Negating both the hypothesis and conclusion of the converse of the conditional is the ..... A) Conditional. B) Converse. C) Inverse. D) Contrapositive. Show Answer Correct Answer: D) Contrapositive. 9. A type of proof that uses arrows to show the flow of a logical argument A) Two-column proof. B) Proof. C) Flow proof. D) Paragraph proof. Show Answer Correct Answer: C) Flow proof. 10. P1: If the Dodgers score this inning, then they will win the game. P2: If they win the game, then they will be in first place. C: Therefore, if the Dodgers score this inning, then they will be in first place. A) Modus Ponens. B) Modus Tollens. C) Disjunctive Syllogism. D) Chain Argument. E) Constructive Dilemma. Show Answer Correct Answer: D) Chain Argument. ← PreviousNext →Related QuizzesMathematical Logic Quiz 1Mathematical Logic Quiz 2Mathematical Logic Quiz 3Mathematical Logic Quiz 4Mathematical Logic Quiz 5Mathematical Logic Quiz 6Mathematical Logic Quiz 8Alphabet Series QuizAnalytical Reasoning QuizArithmetic Operations QuizArithmetic Series QuizAverage Applications QuizAverages QuizBlood Relations QuizCoding Decoding QuizCompound Interest QuizData Sufficiency QuizDecimals QuizDirection Sense QuizDiscount QuizDivisibility Rules QuizFamily Relations QuizFractions QuizGeometric Series QuizHcf And Lcm QuizLetter Coding QuizLetter Series QuizMathematical Aptitude QuizMathematical Reasoning QuizMental Mathematics QuizMissing Number Series QuizMixed Series QuizNumber Coding QuizNumber Patterns QuizNumber Series QuizNumber System QuizNumerical Reasoning QuizPercentage Applications QuizPercentages QuizProblem Solving Techniques QuizProfit And Loss QuizProportion QuizQuantitative Comparison QuizQuantitative Reasoning QuizRanking And Ordering QuizRatio And Proportion QuizRatio Applications QuizRatio QuizRelationships QuizSimple Interest QuizSimplification QuizSpeed Time Distance QuizSymbol Coding QuizTime And Distance QuizTypes Of Reasoning Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books