This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Real Numbers > Class 10 Maths Chapter 1 Real Numbers – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 1 Real Numbers Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $\frac{11}{8}-\frac{2}{3}$ A) $\frac{16}{40}$. B) $\frac{17}{40}$. C) $\frac{16}{24}$. D) $\frac{17}{24}$. Show Answer Correct Answer: D) $\frac{17}{24}$. 2. Explain the difference between rational and irrational numbers. A) Rational numbers are infinite; irrational numbers are finite. B) Rational numbers are always whole numbers; irrational numbers are always decimals. C) Rational numbers can only be positive; irrational numbers can only be negative. D) Rational numbers are fractions of integers; irrational numbers cannot be expressed as fractions. Show Answer Correct Answer: D) Rational numbers are fractions of integers; irrational numbers cannot be expressed as fractions. 3. Before you decide the classification of a number, you might need to change the number into a A) Decimal number. B) Variable. C) Frog. D) PEMDAS. Show Answer Correct Answer: A) Decimal number. 4. What two integers fall between 26 and 29? A) 27, 28. B) 26, 27. C) 28, 29. D) None of the above. Show Answer Correct Answer: A) 27, 28. 5. Product of two irrational numbers is A) Rational number. B) Irrational number. C) Rational or irrational number. D) None of the above. Show Answer Correct Answer: C) Rational or irrational number. 6. What kind of real number is this? Check all that applies. $-0.\overline{4}$ A) Rational Numbers. B) Integers. C) Whole Numbers. D) Irrational Numbers. E) Natural Numbers. Show Answer Correct Answer: A) Rational Numbers. 7. What will be the least possible number of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length? A) 20. B) 21. C) 22. D) 23. Show Answer Correct Answer: C) 22. 8. The number 4p + 3 will always be A) Multiple of 3. B) Odd. C) Even. D) Even or odd. Show Answer Correct Answer: B) Odd. 9. 1) Two numbers are in the ratio 19:13. If their HCF is 5, then the numbers are A) 85, 105. B) 105, 95. C) 95, 65. D) 65, 55. Show Answer Correct Answer: C) 95, 65. 10. If p & q are two co-prime numbers then HCF (p, q) =? A) Pq. B) P. C) 1. D) Q. Show Answer Correct Answer: C) 1. 11. $64^{\frac{1}{3}}$ A) 6. B) 12. C) 4. D) 8. Show Answer Correct Answer: C) 4. 12. Last digit of 6 power n is ..... A) 7. B) 6. C) 0. D) 5. Show Answer Correct Answer: B) 6. 13. The square root of 2 is: A) A natural number. B) A rational number. C) A whole number. D) An irrational number. Show Answer Correct Answer: D) An irrational number. 14. The number:0.211211121111211111 ..... is A) Terminating decimal. B) Non-terminating repeating decimal. C) Non-terminating and non-repeating decimal. D) None of the above. Show Answer Correct Answer: C) Non-terminating and non-repeating decimal. 15. State the multiplicative identity property of real numbers A) Real numbers multiplied by 2 always yield the same result. B) Any real number multiplied by 1 equals the original number. C) Multiplying any real number by 0 results in the original number. D) The product of two real numbers is always greater than the original numbers. Show Answer Correct Answer: B) Any real number multiplied by 1 equals the original number. 16. If the HCF of 65 and 117 is expressible in the form 65 m-117, then the value of m is A) 1. B) 3. C) 2. D) 4. Show Answer Correct Answer: C) 2. 17. What is the HCF of two consecutive odd numbers? A) 1. B) 2. C) 0. D) 3. Show Answer Correct Answer: A) 1. 18. $125^{-\frac{1}{3}}$ A) 5. B) 5-1. C) 25. D) 1/5. Show Answer Correct Answer: D) 1/5. 19. What is a rational number? A) A rational number is a number that cannot be written as a fraction. B) A rational number is a number that can be written as a fraction. C) A rational number cannot be a repeating decimal. D) None of the above. Show Answer Correct Answer: B) A rational number is a number that can be written as a fraction. 20. The factors of 800 are A) 2$^{6 }$x 5$^{2}$. B) 2$^{5 }$x 5$^{3}$. C) 2$^{6 }$x 5$^{3}$. D) 2$^{5 }$x 5$^{2}$. Show Answer Correct Answer: D) 2$^{5 }$x 5$^{2}$. 21. Which one is not a perfect square? A) 49. B) 144$^{}$$^{}$. C) 100. D) 117. Show Answer Correct Answer: D) 117. 22. The decimalexpansion of 21/24 will terminate after how many places ofdecimal? A) 3. B) 1. C) 2. D) 4. Show Answer Correct Answer: A) 3. 23. If the product of two positive integers is equal to the product of their HCF and LCM is true then, the HCF (32, 36) is A) 2. B) 6. C) 4. D) 8. Show Answer Correct Answer: C) 4. 24. (Choose all correct answers) $-\frac{2}{3}$ A) Whole number. B) Integer. C) Rational number. D) None of these. Show Answer Correct Answer: C) Rational number. 25. List all the classifications of numbers that apply to the real number.-1/4$^{}$ A) None. B) Rational, Integer, Whole. C) Natural, Whole, Integer, Rational. D) Rational. Show Answer Correct Answer: D) Rational. 26. A circular field has a circumference of 360 km. Two cyclists Peter and John start together and can cycle at speeds of 12 km/h and 15 km/h, respectively, round the circular field. The time taken by them to meet again at the starting point is A) 180 hrs. B) 130 hrs. C) 150 hrs. D) 120 hrs. Show Answer Correct Answer: D) 120 hrs. 27. Ex 1. Add.-10+15 A) -25. B) 5. C) -5. D) 25. Show Answer Correct Answer: B) 5. 28. The exponent of 2 in the prime factorization of 480 A) 5. B) 3. C) 2. D) 7. Show Answer Correct Answer: A) 5. 29. What is the additive inverse of 2/3? A) 3/2. B) -2/3. C) 2/3. D) -3/2. Show Answer Correct Answer: B) -2/3. 30. The area of a square is 45.5 cm$^{2}$. Which of the following is closest to the length of one side of the square? A) 11 cm. B) 7 cm. C) 6 cm. D) 23 cm. Show Answer Correct Answer: B) 7 cm. 31. Name the set or sets to which each real number belongs. $\frac{13}{4}$ A) Integer. B) Irrational. C) Natural Number. D) Rational. E) Whole Number. Show Answer Correct Answer: D) Rational. 32. Who is known as the 'Prince of Mathematicians'? A) Carl Friedrich. B) Euler. C) Newton. D) Archimedes. Show Answer Correct Answer: A) Carl Friedrich. 33. The values of the remainder r, when a positive integer a is divided by 3 are(a) 0, 1, 2(b) Only 1(c) Only 0 or 1(d) 1, 2 A) A. B) D. C) C. D) B. Show Answer Correct Answer: A) A. 34. There are two positive integers, a and b. Given that their HCF is 15. Which of the followings cannot be their LCM? A) 125. B) 105. C) 225. D) 195. Show Answer Correct Answer: A) 125. 35. Calculate the difference between 9.6 and-3.2 A) 12.8. B) -2.8. C) 15.2. D) 6.4. Show Answer Correct Answer: A) 12.8. 36. Which set of rational numbers is arranged from greatest to least? A) D 9/8, 7/6, -5/12, -1.1, -10/5, -3.6. B) C-3.25, 1/8, 7/5, 0.5, 1/3, 5/6. C) B 7/6, 0.9, 1/2, 3/8, -1/10, -0.7. D) A-6/5, -1/2, 0, 1/9, 0.6, 1.0. Show Answer Correct Answer: C) B 7/6, 0.9, 1/2, 3/8, -1/10, -0.7. 37. If x3=343 then x is A) 9. B) 7. C) 13. D) 0. Show Answer Correct Answer: B) 7. 38. Is 8.27 rational or irrational? A) Rational. B) Irrational. C) Both. D) None of the above. Show Answer Correct Answer: A) Rational. 39. Three groups of students used different methods to estimate the diagonal length of a patio in feet. Their results were:4/13 ft, 14 2/5 ft, and 14.33 ft. Which list shows these diagonal lengths in order from greatest to least? A) 14 2/5, 4/13, 14.33. B) 14.33, 14 2/5, 4/13. C) 4/13, 14 2/5, 14.33. D) 14 2/5, 14.33, 4/13. Show Answer Correct Answer: B) 14.33, 14 2/5, 4/13. 40. Classify this number:-12 A) Real irrational. B) Real rational integer. C) Real rational. D) Real. Show Answer Correct Answer: B) Real rational integer. 41. Name the set or sets to which each real number belongs. $\frac{10}{11}$ A) Natural Number. B) Rational. C) Whole Number. D) Irrational. E) Integer. Show Answer Correct Answer: B) Rational. 42. What property is this?1a = a A) Multiplicative Inverse. B) Commutative Property of Multiplication. C) Multiplicative Identity. D) Distributive Property. Show Answer Correct Answer: C) Multiplicative Identity. 43. Natural numbers are A) 0, 1, 2, 3, 4, . B) 1, 2, 3, 4, . C) , -3, -2, -1, 0, 1, 2, 3. D) Values less than zero. Show Answer Correct Answer: B) 1, 2, 3, 4, . 44. HCF and LCM for the numbers 270, 405 and 315 A) 27, 2835. B) 54, 5670. C) 36, 4320. D) 45, 5670. Show Answer Correct Answer: D) 45, 5670. 45. What is the best classification for this number? .78787878 ..... A) Irrational. B) Integer. C) Rational. D) Whole. Show Answer Correct Answer: C) Rational. 46. Repeating decimals are ..... numbers. A) Irrational. B) Rational. C) All the above. D) None of the above. Show Answer Correct Answer: B) Rational. 47. Which among the following options is irrational? (non-repeating and non-terminating) A) 0.2. B) 3.1415926535 . C) $\left(0.2\right)^2$. D) 10.2. Show Answer Correct Answer: B) 3.1415926535 . 48. Write down the decimal expansions of:13/ 62500 A) 0.00208. B) 0.00512. C) 0.0208. D) 0.00416. Show Answer Correct Answer: A) 0.00208. 49. 8 is a part of the following sets: A) Whole Number. B) Integer. C) Rational. D) All of the above. Show Answer Correct Answer: D) All of the above. 50. Non-terminating and non-recurring decimals are called irrational numbers. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 51. What is the most specific set for $0.\overline{3}$ A) Integer. B) Rational. C) Irrational. D) Whole. E) Natural. Show Answer Correct Answer: B) Rational. 52. Which of the following does not belong to the set of real numbers? A) $\sqrt{5}$. B) $\sqrt{-25}$. C) $-9.123333$. D) $\left(\frac{1}{16}\right)^3$. Show Answer Correct Answer: B) $\sqrt{-25}$. 53. If p is positive and z is zero, -pz is A) Positive. B) Zero. C) Undefined. D) Negative. Show Answer Correct Answer: B) Zero. 54. The HCF of 95 and 152 is ..... A) 38. B) 19. C) 57. D) 1. Show Answer Correct Answer: B) 19. 55. Integers are whole numbers and their opposites. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 56. My LCM answer is always ..... then the given coprime numbers. A) Smaller. B) Bigger. C) All the above. D) None of the above. Show Answer Correct Answer: B) Bigger. 57. The three rational numbers between 3 and 4 are: A) 11/4, 12/4, 13/4. B) 12/7, 13/7, 14/7. C) 13/4, 14/4, 15/4. D) 5/2, 6/2, 7/2. Show Answer Correct Answer: C) 13/4, 14/4, 15/4. 58. The rational number among the following is ..... A) $\sqrt{32}$. B) $\sqrt{122}$. C) $\sqrt{121}$. D) $\sqrt{44}$. Show Answer Correct Answer: C) $\sqrt{121}$. 59. $\frac{8.05\times10^4}{2.3\times10^2}$ A) $5.75\times10^2$. B) $3.5\times10^6$. C) $8.28\times10^6$. D) $3.49\times10^2$. Show Answer Correct Answer: D) $3.49\times10^2$. 60. Golf balls come in a variety of packages. A particular brand of golf ball comes in a package of 6 golf balls and a package of 18 golf balls. The package with 6 golf balls costs $ 3.45, and the package with 18 golf balls costs $ 6.78. Which is the better deal? What is the unit price of the better deal? A) 18-ball pack at $ 0.58 per golf ball. B) 6-ball pack at $ 0.19 per golf ball. C) 6-ball pack at $ 0.38 per golf ball. D) 18-ball pack at $ 0.38 per golf ball. Show Answer Correct Answer: D) 18-ball pack at $ 0.38 per golf ball. ← 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 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 8Class 10 Maths Chapter 1 Real Numbers Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books