This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Real Numbers > Class 10 Maths Chapter 1 Real Numbers – Quiz 13 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 1 Real Numbers Quiz 13 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Ms. Sublett's class has a ratio of boys to girls of 3 to 1. If there are 4 girls in the class, how many boys are there? A) 18 boys. B) 12 boys. C) 10 boys. D) 15 boys. Show Answer Correct Answer: B) 12 boys. 2. Logarithmic form of 2 $^{10 }$= 1024 A) Log $_{2 }$1024 = 10. B) Log $_{2 }$10 = 1024. C) Log $_{10}$ 1024 = 2. D) Log $_{10 }$2 = 1024. Show Answer Correct Answer: A) Log $_{2 }$1024 = 10. 3. Euclid Division Lemma is used to find A) HCF. B) LCM. C) Both HCF and LCM. D) None of the above. Show Answer Correct Answer: A) HCF. 4. Total number of rational numbers exist between any two two rational numbers A) 2. B) 5. C) Infinite. D) None of these. Show Answer Correct Answer: C) Infinite. 5. The HCF and LCM of two numbers are 5 and 30, respectively. If one number is 10, what is the other number? A) 30. B) 15. C) 25. D) 20. Show Answer Correct Answer: B) 15. 6. What are the counting numbers (1, 2, 3 ..... )? A) Rational Numbers. B) Irrational Numbers. C) Whole Numbers. D) Natural Numbers. Show Answer Correct Answer: D) Natural Numbers. 7. Whole numbers are natural numbers together with "zero." A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 8. After rationalize the denominator of $\frac{7}{3\sqrt{3}-2\sqrt{2}}$ A) 13. B) 37. C) 19. D) 5. Show Answer Correct Answer: C) 19. 9. As per euclid division lemma when divisor is 3 then possible integers are ..... A) 3q, 3q+1, 3q+2. B) 3q+1, 3q+2, 3q+3. C) 3, 4, 5, 6. D) None. Show Answer Correct Answer: A) 3q, 3q+1, 3q+2. 10. Which of the following rational numbers have terminating decimal expansion? A) $\frac{7}{126}$. B) $\frac{2}{21}$. C) $\frac{13}{125}$. D) $\frac{5}{18}$. Show Answer Correct Answer: C) $\frac{13}{125}$. 11. $\left(1.9\times10^3\right)\left(4.5\times10^2\right)$ A) $8.55\times10^6$. B) $8.55\times10^1$. C) $8.55\times10^5$. D) $8.55\times10^0$. Show Answer Correct Answer: C) $8.55\times10^5$. 12. The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is A) 5. B) 100. C) 60. D) 20. Show Answer Correct Answer: C) 60. 13. HCF of 2 and 4 is A) 8. B) 2. C) 10. D) 4. Show Answer Correct Answer: B) 2. 14. Two tankers contain 850 liters and 680 liters of petrol. Find the maximum capacity of a container which can measure the petrol of each tanker in the exact number of times. (2012) A) 10. B) 170. C) $850\times680$. D) 850. Show Answer Correct Answer: B) 170. 15. -4 is not a whole number because: A) It's negative and whole numbers are positive. B) It's irrational. C) It cannot be turned into a fraction. D) It is even. Show Answer Correct Answer: A) It's negative and whole numbers are positive. 16. Which is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively ..... A) 13. B) 3. C) 585. D) 9. Show Answer Correct Answer: A) 13. 17. The HCF of 52 and 130 is A) 26. B) 52. C) 13. D) 130. Show Answer Correct Answer: B) 52. 18. True or False:Zero is a counting number. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 19. Express 0.245245245 as a fraction in simplest form. A) 27/100. B) 27/1100. C) 24/1100. D) 27/110. Show Answer Correct Answer: D) 27/110. 20. The number 1.101001000100001 ..... is A) Natural number. B) Rational. C) Irrational. D) Integer. Show Answer Correct Answer: C) Irrational. 21. Give the most specific classification for $-\left(3\right)^2$ A) Whole. B) Integers. C) Natural. D) Rational. E) Irrational. Show Answer Correct Answer: B) Integers. 22. The decimal expansion of 189/125 will terminate after A) 4 Places of Decimal. B) 3 Places of Decimal. C) 5 Places of Decimal. D) None of the above. Show Answer Correct Answer: B) 3 Places of Decimal. 23. What is the least number that must be added to 1056 so the number is divisibleby 23? A) 3. B) 0. C) 1. D) 2. Show Answer Correct Answer: D) 2. 24. $\left(8.6\times10^5\right)\left(3.2\times10^2\right)$ A) $2.752\times10^7$. B) $5.4\times10^3$. C) $27.52\times10^7$. D) $2.752\times10^8$. Show Answer Correct Answer: D) $2.752\times10^8$. 25. If two positive integers a and b are written as a = p$^{3}$q$^{2}$ and b = pq$^{3}$; p, q are prime numbers, then HCF (a, b) is: A) Pq. B) $pq^2$. C) $p^3q^3$. D) None of these. Show Answer Correct Answer: B) $pq^2$. 26. The product $\sqrt[3]{2}$ $\sqrt[4]{2}$ $\sqrt[12]{32}$ A) $\sqrt[12]{2}$. B) $\sqrt[]{2}$. C) $\sqrt[12]{32}$. D) 2. Show Answer Correct Answer: D) 2. 27. Every number is of the form- A) 2m. B) 2m+1. C) Both the above options. D) None of these. Show Answer Correct Answer: C) Both the above options. 28. Write this fraction as a decimal.1/9 A) .111 . B) 1.9. C) 1.11. D) 9. Show Answer Correct Answer: A) .111 . 29. A non-terminating and non recurring decimal is which type of number? A) Rational. B) Irrational. C) All the above. D) None of the above. Show Answer Correct Answer: B) Irrational. 30. Which of the following real numbers has the smallest value? A) 20/3. B) 6pi. C) Square root of 51. D) 7.1. Show Answer Correct Answer: A) 20/3. 31. Order the following numbers from greatest to least:1.2, -3, 0, -0.5 A) 1.2, -0.5, 0, -3. B) 0, -3, -0.5, 1.2. C) -3, 0, -0.5, 1.2. D) 1.2, 0, -0.5, -3. Show Answer Correct Answer: D) 1.2, 0, -0.5, -3. 32. Which are co prime? A) 23 and 32. B) 64 and 46. C) 12 and 21. D) 18 and 81. Show Answer Correct Answer: A) 23 and 32. 33. If p and q are positive integers such that p = ab$^{2}$ and q= a$^{2}$b, where a, b are prime numbers, then the LCM (p, q) is A) A$^{3}$b$^{2}$. B) A$^{2}$b$^{2}$. C) Ab. D) A$^{3}$b$^{3}$. Show Answer Correct Answer: B) A$^{2}$b$^{2}$. 34. A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him? A) 10.6 Weeks. B) 10.6-ounce bottle. C) 24 Weeks. D) 24-ounce bottle. Show Answer Correct Answer: C) 24 Weeks. 35. What is the ONLY difference between natural numbers and whole numbers? A) Negative Numbers. B) Decimals. C) Zero. D) Fractions. Show Answer Correct Answer: C) Zero. 36. If a and b are two positive integers such that a = 14b. Find the HCF of a and b. A) B. B) 14a. C) 14b. D) A. Show Answer Correct Answer: A) B. 37. Calculate the product of-2.5 and 6 A) -10. B) -15. C) 15. D) -12. Show Answer Correct Answer: B) -15. 38. The sum of the exponents of the prime factors in the prime factorisation of 196 is ..... A) 6. B) 2. C) 4. D) 1. Show Answer Correct Answer: C) 4. 39. Product of any two irrational numbers is always irrational A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 40. Natural numbers always start with 0. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 41. Give the most specific classification for $11.1256$ A) Rational. B) Integers. C) Irrational. D) Natural. E) Whole. Show Answer Correct Answer: A) Rational. 42. Dudhnath has two vessels containing 720 ml and 405 ml of milk respectively. Milk from these containers is poured into glasses of equal capacity to their brim. Find the minimum number of glasses that can be filled. (2014) A) 15. B) 100. C) 25. D) 40. Show Answer Correct Answer: C) 25. 43. Which number is a factor of 21 A) 6. B) 8. C) 9. D) 3. Show Answer Correct Answer: D) 3. 44. Fill in the blank. An integer is ..... rational. A) Only on Mondays. B) Never. C) Always. D) Sometimes. Show Answer Correct Answer: C) Always. 45. For any integer n, the odd integer is represented in the form of ..... A) 2n. B) 2n + 1. C) 3n-1. D) $n^2$. Show Answer Correct Answer: B) 2n + 1. 46. Pick the answer that is an example of the identity property of addtion A) 1 + 1 = 2. B) A + (-a) = 0. C) A + b = b + a. D) A + 0 = a. Show Answer Correct Answer: D) A + 0 = a. 47. Which property states that any number multiplied by zero equals zero. A) Multiplicative Identity. B) Multiplicative Inverse. C) Multiplicative Property of Zero. D) Additive Identity. Show Answer Correct Answer: C) Multiplicative Property of Zero. 48. A rational number can always be represented in the form of p/q where p and q are A) Both integers. B) P is an integer and q is a natural number. C) Both are non zero integers. D) P is an integer & q is a non zero integer. Show Answer Correct Answer: D) P is an integer & q is a non zero integer. 49. List the following real numbers from Least to Greatest.-4.35, -5.26, 3.21, 0.5 A) -5.26, -4.35, 0.5, 3.21. B) 3.21, 0.5, -4.35, -5.26. C) 0.5, 3.21, -4.35, -5.26. D) -4.35, -5.26, 3.21, 0.5. Show Answer Correct Answer: A) -5.26, -4.35, 0.5, 3.21. 50. Integers can be negative, but whole numbers must be positive. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 51. What is 37% as a decimal? A) .37. B) 37. C) 3.7. D) .037. Show Answer Correct Answer: A) .37. 52. Order from least to greatest:[10, -5, 3, 16, -1, 0, 1] A) -5, -1, 0, 1, 3, 10, 16. B) 16, 10, 3, 1, 0, -1, -5. C) -1, -5, 0, 1, 3, 10, 16. D) 0, -1, 1, 3, -5, 10, 16. Show Answer Correct Answer: A) -5, -1, 0, 1, 3, 10, 16. 53. Which of the following has a non-terminating, repeating decimal expansion? A) 7/25. B) 4/5. C) 4/7. D) 3/8. Show Answer Correct Answer: C) 4/7. 54. The decimal expansion of the rational number $\frac{43}{2^45^3}$ A) Will not terminate. B) 5. C) 4. D) 3. Show Answer Correct Answer: C) 4. 55. Name the set or sets to which each real number belongs. $\sqrt{90}$ A) Natural Number. B) Integer. C) Whole Number. D) Rational. E) Irrational. Show Answer Correct Answer: E) Irrational. 56. If two positive integers p and q can be expressed as p = ab$^{2}$ and q = a$^{3}$b, a; b being prime numbers, then LCM (p, q) is: A) A$^{3}$b$^{2}$. B) Ab. C) A$^{3}$b$^{3}$. D) A$^{2}$b$^{2}$. Show Answer Correct Answer: A) A$^{3}$b$^{2}$. 57. Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How many of each piece would each child need to build tracks that are equal in length? A) 4, 9. B) 8 and 12. C) 6 and 8. D) None of the above. Show Answer Correct Answer: A) 4, 9. 58. True or False:If a number can be written as a fraction, it is rational. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 59. How do real numbers relate to algebraic expressions? A) Real numbers cannot be used to represent variables in algebra. B) Real numbers are only used in geometry, not in algebra. C) Real numbers are used to evaluate algebraic expressions by substituting variables with specific values. D) Algebraic expressions can only contain whole numbers. Show Answer Correct Answer: C) Real numbers are used to evaluate algebraic expressions by substituting variables with specific values. 60. LCM of 2$^{4}$x3$^{5}$x5$^{3}$x7$^{2}$ and 2$^{3}$x3$^{6}$x5x7$^{8}$ A) 2$^{3}$x3$^{6}$x5x7$^{8}$. B) 2$^{4}$x3$^{6}$x5$^{3}$x7$^{8}$. C) 2$^{4}$x3$^{5}$x5$^{3}$x7$^{2}$. D) 2$^{3}$x3$^{5}$x5x7$^{2}$. Show Answer Correct Answer: A) 2$^{3}$x3$^{6}$x5x7$^{8}$. ← 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 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books