This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Real Numbers > Class 10 Maths Chapter 1 Real Numbers – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 1 Real Numbers Quiz 8 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The largest number that divides 48 and 60 completely is: A) 6. B) 24. C) 12. D) 18. Show Answer Correct Answer: B) 24. 2. In Amalie's home town, the ratio of cars to people is 420 to 1000. What fraction shows this ratio in simplest form? A) $\frac{21}{25}$. B) $\frac{420}{1000}$. C) $\frac{21}{50}$. D) $\frac{21}{100}$. Show Answer Correct Answer: C) $\frac{21}{50}$. 3. If two positive integers a and b are written as a =x$^{3}$y$^{2}$ and b = xy$^{3}$ . Where x &y are prime numbers. Then HCF ( a, b) = ..... A) X$^{3}$y$^{2}$. B) X$^{3}$y$^{3}$. C) Xy$^{2}$. D) Xy. Show Answer Correct Answer: C) Xy$^{2}$. 4. How would 5/9 be classified? A) Rational and real. B) Whole and integer. C) Only real. D) Only irrational. Show Answer Correct Answer: A) Rational and real. 5. What is the last digit of 6$^{100}$ A) 6. B) 100. C) 7. D) 5. Show Answer Correct Answer: A) 6. 6. An odd positive integer is A) M+1. B) 4m+3. C) 3m+1. D) 6m+4. Show Answer Correct Answer: B) 4m+3. 7. Rosa is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the larges tile she can use?Problem can be solved using A) LCM. B) HCF. C) None. D) None of the above. Show Answer Correct Answer: B) HCF. 8. Solve the equation:3y + 7 = 16 A) Y = 3. B) Y = 5. C) Y = 10. D) Y = 2. Show Answer Correct Answer: A) Y = 3. 9. An example of a whole number is: A) 4/9. B) -9. C) 17. D) 5.2. Show Answer Correct Answer: C) 17. 10. For some integer n, the odd integer is represented in the form of: A) (c) 2n + 1. B) (b) n + 1. C) A) n. D) (d) 2n. Show Answer Correct Answer: A) (c) 2n + 1. 11. The LCM of 7, 14, and 21 is: A) 42. B) 21. C) 14. D) 7. Show Answer Correct Answer: A) 42. 12. A repeating decimal (like 4.7777 ..... ) is what type of number? A) Irrational. B) Whole Number. C) Rational. D) Integer. Show Answer Correct Answer: C) Rational. 13. 1) The largest number that will divide 398, 436, and 542 leaving the reminders 7, 11 and 15 respectively is A) 27. B) 17. C) 13. D) 11. Show Answer Correct Answer: B) 17. 14. A rational number can be expressed as a non terminating repeating decimal if the denominator has the factors A) Other than 2 or 5. B) 2 or 5 only. C) None of these. D) None of the above. Show Answer Correct Answer: A) Other than 2 or 5. 15. What is the conjugate of:$5+\sqrt{7}$ A) 18. B) $5-\sqrt{7}$. C) 32. D) $5+\sqrt{7}$. Show Answer Correct Answer: B) $5-\sqrt{7}$. 16. The product of two consecutive natural numbers is always: A) Even or odd number. B) Prime number. C) Odd number. D) Even number. Show Answer Correct Answer: D) Even number. 17. What is the most specific set for $\sqrt[]{25}$ A) Irrational. B) Integer. C) Natural. D) Whole. E) Rational. Show Answer Correct Answer: C) Natural. 18. Estimate the value of $\\sqrt{56}$ A) 5 and 6. B) 6 and 7. C) 7 and 8. D) 8 and 9. Show Answer Correct Answer: C) 7 and 8. 19. Two numbers are in the ratio 3:4 and their LCM is 120. The sum of the number is A) 36. B) 50. C) 70. D) 12. Show Answer Correct Answer: C) 70. 20. Aryon reads 4 books every 3 weeks. At this rate, how long will it take Aryon to read 20 books? A) 15 weeks. B) 10 weeks. C) 8 weeks. D) 24 weeks. Show Answer Correct Answer: A) 15 weeks. 21. The HCF (26, 169) = 13 then LCM (26, 169) is: A) 338. B) 13. C) 52. D) 26. Show Answer Correct Answer: A) 338. 22. If 'n' is any natural number, then $\left(12\right)^n$ A) 5. B) 0. C) 2. D) 7. Show Answer Correct Answer: B) 0. 23. The decimal expansion of the rational number $\frac{22}{5^2.2^3}$ A) Two decimal place. B) Three decimal place. C) Four decimal place. D) One decimal place. Show Answer Correct Answer: A) Two decimal place. 24. What is the sign of the product of an even number of factors with the same sign? A) Positive. B) Negative. C) It depends. D) None of the above. Show Answer Correct Answer: A) Positive. 25. P/q form of the decimal 0.875 is A) 25/31. B) 6/7. C) 7/8. D) 7/12. Show Answer Correct Answer: C) 7/8. 26. There are 312, 260 and 156 students in class X, XI AND XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students A) 52. B) 63. C) 48. D) 56. Show Answer Correct Answer: A) 52. 27. LCM of 0.5, 1.5 and 0.25 is A) 0.5. B) 7.5. C) 0.75. D) 0.05. Show Answer Correct Answer: C) 0.75. 28. What is the significance of the number line in understanding real numbers? A) The number line has no relevance in mathematics. B) The number line is used solely for plotting geometric shapes. C) The number line only represents integers and not real numbers. D) The number line is significant as it provides a visual representation of real numbers, facilitating comparison and understanding of their properties. Show Answer Correct Answer: D) The number line is significant as it provides a visual representation of real numbers, facilitating comparison and understanding of their properties. 29. The decimal expansion of an irrational number may be A) Non terminating and repeating. B) Non terminating and non repeating. C) Terminating. D) Terminating and repeating. Show Answer Correct Answer: B) Non terminating and non repeating. 30. To solve this equation, which property would be useful:x+5=17 A) Additive inverse. B) Additive Identity. C) Multiplicative Identity. D) Multiplicative Inverse. Show Answer Correct Answer: A) Additive inverse. 31. A number can be rational and irrational. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 32. Any positive odd integer will be of the form? A) 2m + 1. B) 2m-1. C) 3m. D) None of these. Show Answer Correct Answer: A) 2m + 1. 33. Order the following numbers from greatest to least:-0.3, 1, -2, 0.75 A) 1, 0.75, -2, -0.3. B) 1, 0.75, -0.3, -2. C) 0.75, 1, -2, -0.3. D) -2, 1, 0.75, -0.3. Show Answer Correct Answer: B) 1, 0.75, -0.3, -2. 34. Which of the following is a rational number? A) $\pi$. B) $\sqrt[]{44}$. C) $\sqrt[]{75}$. D) $95.\overline{3}$. Show Answer Correct Answer: D) $95.\overline{3}$. 35. If a = 2$^{3}$x3, b = 2x3x5, c = 3$^{n}$x5 and LCM(a, b, c) =2$^{3}$x3$^{2}$x5, then n= A) 4. B) 1. C) 3. D) 2. Show Answer Correct Answer: D) 2. 36. What is H.C.F. of 29 and 31 A) 29. B) 1. C) 5. D) 23. Show Answer Correct Answer: B) 1. 37. LCM of 7 and 11 is A) 11. B) 7. C) 1. D) 77. Show Answer Correct Answer: D) 77. 38. Which of the following statements is NOT true? A) All integers are whole numbers. B) All rational numbers are real numbers. C) All whole numbers are rational numbers. D) Some rational numbers are integers. Show Answer Correct Answer: A) All integers are whole numbers. 39. What is the product of a rational and an irrational number? A) Always an integer. B) Always a rational number. C) Always an irrational number. D) Sometimes rational and sometimes irrational. Show Answer Correct Answer: C) Always an irrational number. 40. For some integer p, every even integer is of the form A) P. B) 2p. C) P + 1. D) 2p + 1. Show Answer Correct Answer: B) 2p. 41. Solve the equation 2x + 5 = 11 for x A) X = 2. B) X = 3. C) X = 6. D) X = 4. Show Answer Correct Answer: B) X = 3. 42. The ratio between the LCM and HCF of 5, 15, 20 is: A) 4:3. B) 11:1. C) 9:1. D) 12:1. Show Answer Correct Answer: D) 12:1. 43. Which of the following is NOT a subset of the rational numbers? A) Integers. B) Whole Numbers. C) Irrational numbers. D) Perfect square integers. Show Answer Correct Answer: C) Irrational numbers. 44. Irrational numbers are closed under addition. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 45. The square root of 5 is between what two integers? A) 4 and 5. B) 2 and 3. C) 3 and 4. D) 9 and 10. Show Answer Correct Answer: B) 2 and 3. 46. Which of the following has a non-terminating, repeating decimal representation? A) 3/8. B) 4/25. C) 1/7. D) 2/5. Show Answer Correct Answer: C) 1/7. 47. Is-15/-5 a natural number? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 48. Which word does NOT describe 5? A) Whole. B) Rational. C) Integer. D) Irrational. Show Answer Correct Answer: D) Irrational. 49. Mrs. Nelson collects figurines that each weigh $2^{-2}$ $2^7$ A) $\frac{2^7}{2^2}\pounds$. B) $2^5\pounds$. C) $\left(2\right)^7\left(2\right)^{-2}\pounds$. D) $\frac{1}{2^{14}}\pounds$. Show Answer Correct Answer: D) $\frac{1}{2^{14}}\pounds$. 50. To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library.There are two sections.-Section A and Section B of grade X.There are 32 students in Section A and 36 students in Section B.Based on the above information answer the following questions.If teh product of two positive is equal to the product of their HCF and LCM is true, then HCF(32, 36) is A) 6. B) 2. C) 4. D) 8. Show Answer Correct Answer: C) 4. 51. Multiply:$\left(4+\sqrt{2}\right)\left(4-\sqrt{2}\right)$ A) $16-\sqrt{2}$. B) 18. C) 14. D) $4-\sqrt{2}$. Show Answer Correct Answer: C) 14. 52. Ex 2. Subtract-11-5 A) 16. B) -6. C) -16. D) 6. Show Answer Correct Answer: C) -16. 53. The decimal expansion of 22/7 is A) Terminating. B) Non-terminating and repeating. C) Non-terminating and Non-repeating. D) None of the above. Show Answer Correct Answer: B) Non-terminating and repeating. 54. What property is this?(n+13) + 4 = n + (13+4) A) Commutative Property. B) Associative Property. C) Distributive Property. D) Additive Identity. Show Answer Correct Answer: B) Associative Property. 55. If a = 4 and c = (-1/2), find c/a. A) 1/8. B) 2. C) -2. D) -1/8. Show Answer Correct Answer: D) -1/8. 56. The number 100 is a perfect square. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 57. Find the largest number which divides 70 and 125 leaving remainder 5 and 8 respectively. (2015) A) 125. B) 70. C) 25. D) 13. Show Answer Correct Answer: D) 13. 58. The product of H.C.F and L.C.M of the smallest prime number and the smallest composite number is A) 4. B) 10. C) 8. D) 6. Show Answer Correct Answer: C) 8. 59. Homework is assigned every ..... and due ..... A) Monday, Tuesday. B) Monday, Friday. C) Monday, Thursday. D) None of the above. Show Answer Correct Answer: B) Monday, Friday. 60. L.C.M. of two co-prime numbers is always A) Product of numbers. B) Sum of numbers. C) Difference of numbers. D) None. Show Answer Correct Answer: A) Product of numbers. ← PreviousNext →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 1 Real Numbers Quiz 1Class 10 Maths Chapter 1 Real Numbers Quiz 2Class 10 Maths Chapter 1 Real Numbers Quiz 3Class 10 Maths Chapter 1 Real Numbers Quiz 4Class 10 Maths Chapter 1 Real Numbers Quiz 5Class 10 Maths Chapter 1 Real Numbers Quiz 6Class 10 Maths Chapter 1 Real Numbers Quiz 7Class 10 Maths Chapter 1 Real Numbers Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books