This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 14 Mathematical Reasoning – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 9 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The number of diagonals that can be drawn by joining the vertices of an octagon is A) 28. B) 48. C) 20. D) None of these. Show Answer Correct Answer: C) 20. 2. In a box of sweets $^{1}$/$_{2}$ of the sweets are gold. The rest are purple.What is the ratio of gold sweets to purple sweets? A) 1:1. B) 1:2. C) 1:3. D) 2:1. Show Answer Correct Answer: A) 1:1. 3. ..... rhombuses are quadrilaterals. A) All. B) Some. C) All the above. D) None of the above. Show Answer Correct Answer: A) All. 4. 51 is a prime number A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 5. If (R) boys have 25 dollars less than the girls, who have 76 dollars, how much is R worth? A) 53. B) 52. C) 50. D) 51. Show Answer Correct Answer: D) 51. 6. :Melody needs to calculate her monthly water bill. Her family used 18, 900 gallons at a rate of $ 1.12 per hundred gallons. There is also a monthly account fee of $ 5.90 per household. What is her total bill? A) 211.68. B) 217.58. C) 205.90. D) 205.78. E) Not enough information is given. Show Answer Correct Answer: B) 217.58. 7. Debra's job description allocates her time among her tasks as shown in the graph at theleft.If Debra works 40 hours this week, how many of those hours should be spent on customerservice? A) 10. B) 20. C) 15. D) 5. Show Answer Correct Answer: C) 15. 8. The contrapositive of "if p then q" is A) If ~p then ~q. B) If q then p. C) If ~q then ~p. D) If p then ~q. Show Answer Correct Answer: C) If ~q then ~p. 9. ..... squares are regular quadrilaterals. A) All. B) Some. C) All the above. D) None of the above. Show Answer Correct Answer: A) All. 10. The graph of a linear inequality represents A) A curve. B) A region. C) A point. D) A line. Show Answer Correct Answer: B) A region. 11. Which of the following is not a statement? A) How are you?. B) New Delhi is in India. C) Every square is a rectangle. D) 2 + 3 = 5. Show Answer Correct Answer: A) How are you?. 12. Mrs. Brown wants to assign eight homework problems to her Algebra 1 class tonight. If there are eleven problems she could choose from, how many different homework sets could she assign? A) 495. B) 990. C) 165. D) 88. Show Answer Correct Answer: C) 165. 13. A computer chip is designed to be 3.2 cm long, but the actual manufactured length can beup to 0.015 cm larger or smaller than the designed length. Which of the following lengths, in centimeters, of manufactured chips would be acceptable? A) 3.24. B) 3.35. C) 3.19. D) 3.25. E) 3.18. Show Answer Correct Answer: C) 3.19. 14. If three numbers are in the ratio of 4:3:8 and the smallest of these numbers is 42, find the largest of these numbers. A) 120. B) 104. C) 96. D) 112. Show Answer Correct Answer: A) 120. 15. Betsy made cupcakes to bring to work. After the Science Department ate 2/7 and the Math Department ate 18/7, she had 1/7 left. How many cupcakes did Betsy make? A) 7. B) 3. C) 21. D) 15/7. E) 2. Show Answer Correct Answer: B) 3. 16. Dana works four 10-hour days during the week and is off every Friday. If the first Friday ofthe month falls on the 3rd, which of the following dates during that month will also be aFriday? A) 24th. B) 20th. C) 16th. D) 18th. E) 13th. Show Answer Correct Answer: A) 24th. 17. The corner points of feasible region are obtained by A) Solving inequalities. B) Solving equations of boundary lines. C) Guessing values. D) Trial and error. Show Answer Correct Answer: B) Solving equations of boundary lines. 18. State whether the following statement is true or falseAll quadratic equations have two equal roots A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 19. What is the probability of rolling a 3 on a fair six-sided die? A) 1/6. B) What is the probability of rolling a 3 on a fair six-sided die?. C) What is the probability of rolling a 3 on a fair six-sided die?. D) What is the probability of rolling a 3 on a fair six-sided die?. Show Answer Correct Answer: A) 1/6. 20. If n represents a negative number, which of the following expressions represents a positivenumber? A) N/-5. B) 5n. C) $n^5$. D) 0.5n. E) 5n. Show Answer Correct Answer: A) N/-5. 21. The relation that is represented by the equation y = 20-2x has the domain {3, 4, 5, 6}. Which of the following sets is the range of the relation? A) {12, 13, 14, 15}. B) {3, 4, 5, 6}. C) {8, 10, 12, 14}. D) {14, 16, 18, 20}. Show Answer Correct Answer: C) {8, 10, 12, 14}. 22. 6 > 2Determine whether is a statement or not A) A statement. B) Not a statement. C) All the above. D) None of the above. Show Answer Correct Answer: A) A statement. 23. In linear programming, decision variables must be A) Non-negative. B) Integers. C) Fractions only. D) Negative. Show Answer Correct Answer: A) Non-negative. 24. Look at this series:42, 41, 43, 42, 44, 43, ..... What number should come next? A) 44. B) 42. C) 46. D) 45. Show Answer Correct Answer: D) 45. 25. Which number does not belong:36, 49, 64, 100, 121 A) 121. B) 49. C) 36. D) 100. Show Answer Correct Answer: A) 121. 26. What is the formula for inverse proportion? A) Y = k-x. B) Y = k * x. C) Y = k + x. D) Y = k / x. Show Answer Correct Answer: D) Y = k / x. 27. Complete the following compound statement by writing the word 'or' or 'and' to form a true statement.4$^{2 }$= 8 [ ..... ] 7 x 0 = 0 A) Or. B) And. C) All the above. D) None of the above. Show Answer Correct Answer: A) Or. 28. The graph shows the population of a city over 10 years. What was the population of the city 5 years ago? A) The population 5 years ago is double the current population. B) The population 5 years ago can be found by looking at the population on the graph 5 years before the current year. C) The population 5 years ago is the same as the current population. D) The population 5 years ago is half of the current population. Show Answer Correct Answer: B) The population 5 years ago can be found by looking at the population on the graph 5 years before the current year. 29. All multiples of 10 are multiples of 5 and Parallelogram has perpendicular diagonals. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 30. What is the distance between-4 and 4 on the number line? A) 0. B) 4. C) 8. D) 16. Show Answer Correct Answer: C) 8. 31. Write the contrapositive of the given if-then statement:If a triangle is equilateral, then it is isosceles. A) If a triangle is equilateral., then it is isosceles. B) If a triangle is not isosceles, then it is not equilateral. C) If a triangle is not isosceles, then it is equilateral. D) If a triangle is isosceles, then it is equilateral. Show Answer Correct Answer: B) If a triangle is not isosceles, then it is not equilateral. 32. Determine if the sentence is a statement not statement.What is the sum of 3 and 6? A) Statement. B) Not Statement. C) All the above. D) None of the above. Show Answer Correct Answer: B) Not Statement. 33. A compound statement can also be formed by combining two given statement using the word "and" or "or" . A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 34. Constraints in an LPP are always A) Cubic equations. B) Linear equations or inequalities. C) Trigonometric equations. D) Quadratic equations. Show Answer Correct Answer: B) Linear equations or inequalities. 35. Is 12 is divisible by 2? A) Statement. B) Not Statement. C) All the above. D) None of the above. Show Answer Correct Answer: B) Not Statement. 36. Premise 1:Ahmad fails the test.Premise 2:Muthu fails the test.Premise 3:Adam fails the test.Conclusion:All students of the class fail the test. A) Weak and not cogent. B) Strong and not cogent. C) Strong and cogent. D) None of the above. Show Answer Correct Answer: A) Weak and not cogent. 37. True or False:1 m = 100 cm or 1 m = 1000 mm A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 38. Which property is illustrated by the equation $a + b = b + a$ A) Distributive Property. B) Commutative Property. C) Associative Property. D) Identity Property. Show Answer Correct Answer: B) Commutative Property. 39. Discussions are being held to gather 1.3 trillion dollars for climate finance. How many zeros are in one trillion? A) 9. B) 6. C) 12. D) 15. Show Answer Correct Answer: C) 12. 40. If n is a positive number, which of the fractions below has the GREATEST value? A) N/10. B) N/6. C) N/8. D) Not enough information is given. E) N/4. Show Answer Correct Answer: A) N/10. 41. What is mathematical reasoning primarily concerned with? A) Manipulating and analyzing objects. B) Drawing geometric shapes. C) Memorizing formulas. D) Performing calculations. Show Answer Correct Answer: A) Manipulating and analyzing objects. 42. Find the mean, median, mode, and range of the following set of numbers:10, 11, 11, 12, 13, 14, 17, 18, 20 A) Mean:14, Median:13, Mode:11, Range:10. B) Mean:14, Median:13, Mode:11, Range:05. C) Mean:14, Median:13, Mode:09, Range:10. D) Mean:13, Median:12, Mode:11, Range:10. Show Answer Correct Answer: A) Mean:14, Median:13, Mode:11, Range:10. 43. What is 9775 rounded to the nearest hundred? A) 10, 000. B) 9775. C) 9000. D) 9800. Show Answer Correct Answer: D) 9800. 44. "If and only if" indicates A) Implication. B) Biconditional. C) Negation. D) Conjunction. Show Answer Correct Answer: B) Biconditional. 45. A shipment of 84 cell phones was sent in two types of boxes. Some boxes contained 6phones and others contained 8 phones. An equal number of each type of box was used. How many of each type of box was used? A) 36. B) 6. C) 42. D) 12. Show Answer Correct Answer: B) 6. 46. A teacher has 12 pieces of candy for each of his 20 students. However, 5 students do notwant any. If all the candy is distributed evenly to the remaining students, how many pieceswill each receive? A) 16. B) 18. C) 24. D) 20. Show Answer Correct Answer: A) 16. 47. A car traveled 200 miles in 4 hours. What was the average speed of the car in miles per hour? A) 150 miles per hour. B) 25 miles per hour. C) 50 miles per hour. D) 100 miles per hour. Show Answer Correct Answer: C) 50 miles per hour. 48. Using the quantifier "all" or "some", write a true statement based on the following sentence. ' ..... polygons have diagonals.' A) All. B) Some. C) All the above. D) None of the above. Show Answer Correct Answer: B) Some. 49. Write the equation of the line that passes through (0, 4) and has a slope of 2. A) Y= 2X+3. B) Y= 6X+9. C) Y= 4X+5. D) Y= 2X+4. Show Answer Correct Answer: D) Y= 2X+4. 50. ) Rosa is sewing a trim on a quilt. The quilt is $3\frac{1}{2}$ A) $8\frac{3}{4}$. B) $17\frac{1}{2}$. C) $8\frac{1}{2}$. D) 17 ft. Show Answer Correct Answer: D) 17 ft. 51. Reasoning based on specific examples and patterns used to form conjectures is called ..... reasoning. A) Inductive. B) Deductive. C) All the above. D) None of the above. Show Answer Correct Answer: A) Inductive. 52. If COW = 36, DOG = 26, CAT =? A) 26. B) 23. C) 25. D) 24. Show Answer Correct Answer: D) 24. 53. Which of the following is a counterexample to the statement: "All prime numbers are odd" ? A) 3. B) 2. C) 5. D) 7. Show Answer Correct Answer: B) 2. 54. Which game would BEST help develop logical-mathematical intelligence? A) Chess. B) Musical chairs. C) Hide and seek. D) Charades. Show Answer Correct Answer: A) Chess. 55. Both the diagonals of a rectangle have same length.Which one is negation of above statement? A) It is true that Both the diagonals of a rectangle have same length. B) It is false that Both the diagonals of a rectangle do not have same length. C) It is not accepted that both the diagonals of a rectangle do not have same length. D) There is atleast one rectangle whose both diagonals do not have same length. Show Answer Correct Answer: D) There is atleast one rectangle whose both diagonals do not have same length. 56. Identify the pattern in the sequence:2, 6, 12, 20, 30, ..... A) 25. B) 42. C) 36. D) 50. Show Answer Correct Answer: B) 42. 57. When you want to share your ideas it is useful to ..... A) Use a lot of complicated words. B) Write as much as possible. C) Use a lot of facts and data. D) Make it as difficult as possible to read so people think you are smart. Show Answer Correct Answer: C) Use a lot of facts and data. 58. Fill in the blank:The symbolic representation of 'One does not succeed' is ..... p:One works hard.q:One succeeds. r:The temperature outside is hot. s:It is not true that the heater is working. A) ~r. B) ~s. C) ~q. D) ~p. Show Answer Correct Answer: C) ~q. 59. What is the cube root of 3? A) Statement. B) Not Statement. C) All the above. D) None of the above. Show Answer Correct Answer: B) Not Statement. 60. Simplify:3/5 + 2/7 =? A) 30/35. B) 29/35. C) 31/35. D) 25/35. Show Answer Correct Answer: B) 29/35. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 1Class 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 2Class 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 3Class 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 4Class 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 5Class 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 6Class 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 7Class 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books