This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Real Numbers > Class 10 Maths Chapter 1 Real Numbers – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 1 Real Numbers Quiz 9 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The square root of 57 is ..... A) Rational. B) Irrational. C) All the above. D) None of the above. Show Answer Correct Answer: B) Irrational. 2. Which is true about the decimal form of an irrational number? A) The decimal terminates. B) The decimal both repeats and terminates. C) The decimal repeats. D) The decimal does not repeat nor terminate. Show Answer Correct Answer: D) The decimal does not repeat nor terminate. 3. If p isan irrational number then p-5 is a A) Prime number. B) Irrational number. C) Rational number. D) Natural number. Show Answer Correct Answer: B) Irrational number. 4. If two positive integers a and b are written as a = x$^{3}$y$^{2}$ and b = xy$^{3}$; x, y are prime numbers, then HCF (a, b) is A) X$^{3}$y$^{3}$. B) X$^{2}$y$^{2}$. C) Xy$^{2}$. D) Xy. Show Answer Correct Answer: C) Xy$^{2}$. 5. Which of the following decimal expansion is irrational: A) $2.3\overline{45}$. B) $2.110110011 $. C) $12.36$. D) $\sqrt{225}$. Show Answer Correct Answer: B) $2.110110011 $. 6. Find the HCF (865, 255) using Euclid's division lemma. (2013) A) 15. B) 5. C) 860. D) 255. Show Answer Correct Answer: B) 5. 7. $\sqrt[]{10}\times\sqrt[]{15}$ A) $6\\\sqrt[]{5}$. B) $\sqrt[]{25}$. C) $\sqrt[]{30}$. D) $5\\sqrt[]{6}$. Show Answer Correct Answer: D) $5\\sqrt[]{6}$. 8. Write the logarithm expression as a single logarithmlog$_{5}$4 + log$_{5}$3 A) Log$_{5}$12. B) Log$_{5}$7. C) 3log$_{5}$4. D) Log$_{7}$5. Show Answer Correct Answer: A) Log$_{5}$12. 9. Does $\frac{1}{15}$ A) Terminating decimal. B) Repeating decimal. C) All the above. D) None of the above. Show Answer Correct Answer: B) Repeating decimal. 10. Name the set or sets to which each real number belongs. $\frac{19}{6}$ A) Rational. B) Whole Number. C) Natural Number. D) Integer. E) Irrational. Show Answer Correct Answer: A) Rational. 11. Convert 0.444 ..... to a fraction. A) 2/5. B) 4.4/99. C) 4/10. D) 4/9. Show Answer Correct Answer: D) 4/9. 12. The square root of a non-perfect square is: A) Integer. B) Whole number. C) Irrational. D) Rational. Show Answer Correct Answer: C) Irrational. 13. 1) A rational number in its decimal expansion is 327.7081. What would be the prime factors of q, if it is expressed in the p/q form A) 2 & 3. B) 3 & 5. C) 2, 5. D) 2, 3 & 5. Show Answer Correct Answer: C) 2, 5. 14. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is A) 10. B) 2520. C) 504. D) 100. Show Answer Correct Answer: B) 2520. 15. Express 0. $\overline{6}$ $\frac{p}{q}$ A) 6/10. B) 3/5. C) 4/5. D) 2/3. Show Answer Correct Answer: D) 2/3. 16. Product of three consecutive positive integers is NOT divisible by A) 3. B) 2. C) 6. D) 10. Show Answer Correct Answer: D) 10. 17. If the volume of a cube is 27in$^{3}$, what is the length of one side of the cube? A) 9in. B) 2.7in. C) 3in. D) 3cm. Show Answer Correct Answer: C) 3in. 18. A company is having an event that has a budget of $2.3\times10^4$ $\frac{1}{4}$ A) $5.75\times10^3$. B) $9.2\times10^4$. C) $2.3\times10^1$. D) $5.75\times10^4$. Show Answer Correct Answer: A) $5.75\times10^3$. 19. Which of the following is a non-terminating repeating decimal? A) $\frac{14}{35}$. B) $\frac{1}{7}$. C) $\frac{7}{8}$. D) $\frac{35}{14}$. Show Answer Correct Answer: B) $\frac{1}{7}$. 20. If p and q are two co-prime integers, then HCF and LCM of p and q will be: A) Pq, 1. B) 1, pq. C) Q, p. D) P, q. Show Answer Correct Answer: B) 1, pq. 21. The product of three consecutive integers is divisible by: A) 5. B) 6. C) 7. D) None of these. Show Answer Correct Answer: B) 6. 22. Ex 4. Multiply0(11) A) 0. B) 11. C) All the above. D) None of the above. Show Answer Correct Answer: A) 0. 23. What is the smallest prime which is not an even A) 3. B) 5. C) 7. D) 2. Show Answer Correct Answer: A) 3. 24. Identify the set of numbers that best describes this situation:Possible number of miles you can walk in 1 hour A) Positive rational numbers. B) Whole numbers. C) Negative Integers. D) None of the above. Show Answer Correct Answer: A) Positive rational numbers. 25. The number (7x6x5x4x3x2x1)+5 is ..... number A) PRIME. B) CAN'T SAY. C) NONE OF THESE. D) COMPOSITE. Show Answer Correct Answer: D) COMPOSITE. 26. The HCF of 2 and 3 is A) 4. B) 1. C) 3. D) 2. Show Answer Correct Answer: B) 1. 27. The LCM of 60, 84 and 108 is A) 3780. B) 4520. C) 2478. D) 3241. Show Answer Correct Answer: A) 3780. 28. The following numbers are examples of (a) . $\sqrt[]{23}, \\sqrt[]{700}, \\sqrt[]{61}, \\sqrt[]{89}$ A) A. non perfect squares. B) Squares. C) Perfect squares. D) Square roots. Show Answer Correct Answer: A) A. non perfect squares. 29. True or False:Both rational and irrational numbers are real. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 30. The sum of two irrational numbers is ..... A) Rational. B) Irrational. C) 0. D) Rational or Irrational. Show Answer Correct Answer: D) Rational or Irrational. 31. What is the most specific set for $-\frac{2}{5}$ A) Rational. B) Irrational. C) Integer. D) Whole. E) Natural. Show Answer Correct Answer: A) Rational. 32. Four bells ring after 9, 12 and 15 minutes respectively.If they ring together at 3pm together, when will they ring together again? A) 5pm. B) 4pm. C) 6pm. D) 7pm. Show Answer Correct Answer: C) 6pm. 33. What kind of real number is this? Check all that applies. $\frac{\sqrt{3}}{2}$ A) Irrational Numbers. B) Whole Numbers. C) Integers. D) Rational Numbers. E) Natural Numbers. Show Answer Correct Answer: A) Irrational Numbers. 34. The decimal expansion of an irrational number is A) Terminating. B) Non terminating recurring. C) Non terminating non recurring. D) None of these. Show Answer Correct Answer: C) Non terminating non recurring. 35. H.C.F. of 6x$^{2}$yz$^{4}$ and 10xy$^{2}$z$^{3}$ is A) 30x$^{2}$y$^{2}$z$^{4}$. B) 2x$^{2}$y$^{2}$z$^{4}$. C) 4xyz$^{3}$. D) 2xyz$^{3}$. Show Answer Correct Answer: D) 2xyz$^{3}$. 36. Exponential form of log $_{5}$ 125 = 3 A) 125$^{5 }$=$^{ }$3. B) 5$^{125 }$= 3. C) 3$^{5 }$= 125. D) 5$^{3 }$= 125. Show Answer Correct Answer: D) 5$^{3 }$= 125. 37. In between two rational number there is/are A) Only irrational number exist. B) One rational number. C) Infinitely many rational numbers. D) Two irrational numbers. Show Answer Correct Answer: C) Infinitely many rational numbers. 38. What is the most specific set for $-35$ A) Irrational. B) Whole. C) Integer. D) Natural. E) Rational. Show Answer Correct Answer: C) Integer. 39. Identify the propertya + 0 = a A) Identity of multiplication. B) Identity of addition. C) Inverse of addtion. D) Multiplication of zero. Show Answer Correct Answer: B) Identity of addition. 40. Which of the following rational number have terminating decimal? A) $\frac{16}{225}$. B) $\frac{5}{18}$. C) $\frac{2}{21}$. D) $\frac{7}{250}$. Show Answer Correct Answer: D) $\frac{7}{250}$. 41. Classify the number:3 A) Natural, whole, integer, rational, real. B) Natural, whole, integer, irrational, real. C) Natural, whole, integer, rational. D) Whole, integer, rational, real. Show Answer Correct Answer: A) Natural, whole, integer, rational, real. 42. Zachary bought a square peg-board for his room that has an area of 36 cm$^{2}$. What's the distance AROUND the peg-board? A) 6 cm. B) 12 cm. C) 24 cm. D) 36 cm. Show Answer Correct Answer: C) 24 cm. 43. What number, n, cubed is equal to 64?n$^{3}$ = 64 A) 8. B) 262, 144. C) 4. D) 2. Show Answer Correct Answer: C) 4. 44. For some integer m, every odd integer is of the form A) 2m. B) M + 1. C) M. D) 2m + 1. Show Answer Correct Answer: D) 2m + 1. 45. The number of rational numbers between any two consecutive whole numbers is ..... A) Infinite. B) One. C) Two. D) Three. Show Answer Correct Answer: A) Infinite. 46. What is the conjugate of:$-3\sqrt{2}-6$ A) $-2\sqrt{3}-6$. B) $-3\sqrt{2}+6$. C) $3\sqrt{2}+6$. D) $-6-3\sqrt{2}$. Show Answer Correct Answer: B) $-3\sqrt{2}+6$. 47. $2.\overline{35}$ A) (a) an integer. B) (b) an irrational number. C) (c) a rational number. D) Both(a) and (c). Show Answer Correct Answer: C) (c) a rational number. 48. Write 3/8 in decimal form A) .335. B) .257. C) .0375. D) .375. Show Answer Correct Answer: D) .375. 49. A forester wants to plant 66 apple trees, 88 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also he wants to make distinct rows of trees (i.e., only one type of trees in one row). The number of minimum rows required are A) 2. B) 12. C) 3. D) 10. Show Answer Correct Answer: B) 12. 50. From the choices given below mark the co-prime numbers A) 2, 110. B) 2, 3. C) 2, 6. D) 2, 4. Show Answer Correct Answer: B) 2, 3. 51. The product of two non zero irrational numbers is ..... A) Always rational. B) Always irrational. C) Always non-zero. D) One. Show Answer Correct Answer: C) Always non-zero. 52. About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have? A) 39 Homes. B) 4.3 Homes. C) 4.3 Computers. D) 39 Computers. Show Answer Correct Answer: D) 39 Computers. 53. Whole numbers are A) , -2, -1, 0, 1, 2, . B) 1, 2, 3, 4, . C) 0, 1, 2, 3, 4 . D) Values greater than zero. Show Answer Correct Answer: C) 0, 1, 2, 3, 4 . 54. An even positive integer is A) 6m+5. B) 6m+3. C) 6m+1. D) 6m. Show Answer Correct Answer: D) 6m. 55. Solve for x.3$^{x}$ = 27 A) 3. B) 2. C) 4. D) 5. Show Answer Correct Answer: A) 3. 56. Between which two whole numbers is $\sqrt{23}$ A) 22 and 24. B) 20 and 30. C) 4 and 5. D) 5 and 6. Show Answer Correct Answer: C) 4 and 5. 57. The total number of factors of a prime number is A) 2. B) 3. C) 1. D) 0. Show Answer Correct Answer: A) 2. 58. List all the classifications of numbers that apply to the real number. 436 A) Natural, Whole, Integer, Rational. B) Rational, Integer. C) Irrational. D) Rational, Integer, Whole. Show Answer Correct Answer: A) Natural, Whole, Integer, Rational. 59. Classify .25252525. A) Natural. B) Irrational. C) Rational. D) None of the above. Show Answer Correct Answer: C) Rational. 60. For every natural number n, $6^n$ A) 4. B) 6. C) 8. D) 0. Show Answer Correct Answer: B) 6. ← 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