This quiz works best with JavaScript enabled. Home > Unit V Mathematical Reasoning And Aptitude > Mathematical Logic – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Mathematical Logic Quiz 6 (10 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Sum of 5 and 7 is greater than 10 A) Statement. B) Not a statement. C) All the above. D) None of the above. Show Answer Correct Answer: A) Statement. 2. P1: Either LeBron James plays on the Heat, or he plays on the Lakers.P2: LeBron James does not play on the Heat.C: Therefore, LeBron James plays for the Lakers. A) Modus Ponens. B) Modus Tollens. C) Disjunctive Syllogism. D) Chain Argument. E) Constructive Dilemma. Show Answer Correct Answer: C) Disjunctive Syllogism. 3. For real numbers x and y, define xRy if and only if x-y is divisible by 3. Then the relation R is A) Only reflexive. B) Reflexive and symmetric. C) Reflexive but not transitive. D) Reflexive, symmetric and transitive. Show Answer Correct Answer: D) Reflexive, symmetric and transitive. 4. Given: If you are at least 18 years old, then you can apply for a credit card. Given: Kelly applied for a credit card. Conclusion: Kelly is at least 18 years old. A) Law of Detachment. B) Invalid. Show Answer Correct Answer: B) Invalid. 5. Are the following argument valid and sound?Premise 1:All multiples of 16 are even numbers.Premise 2:64 is a multiple of 16.Conclusion:64 is an even number. A) Valid and sound. B) Valid but not sound. C) Not valid but sound. D) Not valid and not sound. Show Answer Correct Answer: A) Valid and sound. 6. Identify the property used here:9=x, then x=9 A) Reflexive. B) Symmetric. C) Transitive. D) Substitution. Show Answer Correct Answer: B) Symmetric. 7. P1: If you go get gas, then you can drive your car. P2: You cannot drive your car.C: Therefore, you cannot go get gas. A) Modus Ponens. B) Modus Tollens. C) Disjunctive Syllogism. D) Chain Argument. E) Constructive Dilemma. Show Answer Correct Answer: B) Modus Tollens. 8. What is the importance of assumptions in logical reasoning? A) Assumptions are always true and do not need validation. B) Assumptions are crucial as they underpin arguments and influence the validity of conclusions in logical reasoning. C) Assumptions are irrelevant in logical reasoning. D) Assumptions only complicate arguments without adding value. Show Answer Correct Answer: B) Assumptions are crucial as they underpin arguments and influence the validity of conclusions in logical reasoning. 9. Which of the following is a false statement? A) $5^2=10\ or\ 4\div8=2$. B) $8+9=17\ and\ 8\times4=32$. C) Some pyramids have a square base. D) All multiples of 6 are multiples of 3. Show Answer Correct Answer: A) $5^2=10\ or\ 4\div8=2$. 10. P1: If Tori is a medical doctor, then she went to medical school.P2: Tori never went to medical school.C: Therefore, Tori is not a medical doctor. A) Modus Ponens. B) Modus Tollens. C) Disjunctive Syllogism. D) Chain Argument. E) Constructive Dilemma. Show Answer Correct Answer: B) Modus Tollens. ← PreviousNext →Related QuizzesMathematical Logic Quiz 1Mathematical Logic Quiz 2Mathematical Logic Quiz 3Mathematical Logic Quiz 4Mathematical Logic Quiz 5Mathematical Logic Quiz 7Mathematical 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