This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Real Numbers > Class 10 Maths Chapter 1 Real Numbers – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 1 Real Numbers Quiz 6 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. True or False:10/4 can be simplified to a whole number. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 2. The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is: A) 130. B) 196. C) 132. D) 66. Show Answer Correct Answer: C) 132. 3. Order from least to greatest:[-8, 7, -6, 5, -4, 3, -2] A) $^{-6, -8, -4, -2, 7, 5, 3}$. B) $^{-2, -4, -6, -8, 3, 5, 7}$. C) $^{-8, -6, -4, -2, 3, 5, 7}$. D) $^{-2, 3, -4, 5, -6, 7, -8}$. Show Answer Correct Answer: C) $^{-8, -6, -4, -2, 3, 5, 7}$. 4. The reciprocal of 0 is A) 0. B) $\frac{1}{0}$. C) Does not exist. D) 1. Show Answer Correct Answer: C) Does not exist. 5. Which of the following numbers is written in scientific notation? A) 20.35 x 10$^{4}$. B) 2.035 x10$^{4}$. C) 2035$^{ 4}$. D) .2035 x 10$^{4}$. Show Answer Correct Answer: B) 2.035 x10$^{4}$. 6. Choose the number that applies to these sets:Real, Rational, Integer, Whole A) 0.5. B) 1/2. C) 4. D) -4. Show Answer Correct Answer: C) 4. 7. A garden consists of 135 rose plants planted in certain number of columns.There are another set of 225 marigold plants, which is to be planted in the same number of columns.Based on teh above information answer the following questions:Find teh sum of exponents of the prime factors of teh maximum number of columns in which they can be planted? A) 5. B) 3. C) 4. D) 6. Show Answer Correct Answer: B) 3. 8. Which of the following number is terminating decimal A) $\frac{20}{75}$. B) $\frac{51}{48}$. C) $\frac{7}{15}$. D) $\frac{121}{150}$. Show Answer Correct Answer: B) $\frac{51}{48}$. 9. There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. The total number of sections thus formed is: A) 22. B) 16. C) 42. D) 36. Show Answer Correct Answer: B) 16. 10. The largest number which divides 615 and 963 leaving remained 6 in each case: A) 95. B) 82. C) 93. D) 87. Show Answer Correct Answer: D) 87. 11. Is the answer to $\sqrt{11}$ A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 12. The largest number which divides 398, 436 and 542 leaving remainder 7, 11 and 15 respectively is: A) 34. B) 11. C) 17. D) 45. Show Answer Correct Answer: C) 17. 13. The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively, is A) 65. B) 13. C) 875. D) 1750. Show Answer Correct Answer: B) 13. 14. LCM of 3 and 5 is A) 15. B) 50. C) 3. D) 5. Show Answer Correct Answer: A) 15. 15. If the HCF of 60 and 110 is expressible in the form 60m-110, then the value of m is A) 1. B) 4. C) 3. D) 2. Show Answer Correct Answer: D) 2. 16. Say 'TRUE' or 'FALSE'101 is a composite number A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 17. The H.C.F of 441, 567 and 693 is A) 63. B) 126. C) 441. D) 1. Show Answer Correct Answer: A) 63. 18. $1.23\overline{48}$ A) An integer. B) An irrational number. C) A rational number. D) None of these. Show Answer Correct Answer: C) A rational number. 19. The length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cmrespectively. Determine the longest rod which can measure the three dimensions of theroom exactly. A) 75 cm. B) 15 cm. C) 105 cm. D) 45 cm. Show Answer Correct Answer: A) 75 cm. 20. Which of the following numbers is a perfect square? A) 169. B) 225. C) 400. D) All of these. Show Answer Correct Answer: D) All of these. 21. The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake. Which list shows the numbers in the table from greatest to least? A) 0.16, 0.10, 0.07, -2.65, -1.43. B) 0.16, 0.10, 0.07, -1.43, -2.65. C) -2.65, -1.43, 0.16, 0.10, 0.07. D) -2.65, -1.43, 0.07, 0.10, 0.16. Show Answer Correct Answer: B) 0.16, 0.10, 0.07, -1.43, -2.65. 22. Find the greatest number of 5 digits, that will give us remainder of 5, when divided by 8 and 9 respectively. A) 99951. B) 99921. C) 99931. D) 99941. Show Answer Correct Answer: D) 99941. 23. Express 0.12545454 ..... in form of p/q. A) 69/550. B) 16/99. C) 2/3. D) 234/999. E) 1242/9900. Show Answer Correct Answer: A) 69/550. 24. The number of students in three sections A, B, and C of class VI in The Millennium school are 30, 35 and 40. Find the minimum number of books required for the class library for equal distribution in section A, B and C.Problem can be solved using A) LCM. B) HCF. C) None. D) None of the above. Show Answer Correct Answer: A) LCM. 25. The LCM of smallest two digit composite number and smallest composite number is A) 12. B) 4. C) 44. D) 20. Show Answer Correct Answer: D) 20. 26. Which of the following are coprimes A) 8, 9. B) 5, 10. C) 10, 12. D) 4, 6. Show Answer Correct Answer: A) 8, 9. 27. True or False:The numbers on a standard ruler can be negative integers A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 28. The prime factor of 2x7x11x17x23+23 is ..... A) 24. B) 23. C) 25. D) None of the above. Show Answer Correct Answer: B) 23. 29. Which property states that any number added by zero stays the same? A) Additive Identity. B) Additive Inverse. C) Multiplicative Property of Zero. D) Multiplicative Identity. Show Answer Correct Answer: A) Additive Identity. 30. The sum of a rational number and an irrational number is equal to ..... A) Integer. B) Rational. C) Whole number. D) Irrational. Show Answer Correct Answer: D) Irrational. 31. $\sqrt{9}+\sqrt{100}$ A) $\sqrt{109}$. B) Nil. C) 13. D) 19. Show Answer Correct Answer: C) 13. 32. The product of a rational and an irrational numbers is A) Always an integer. B) Always a rational number. C) Always an irrational number. D) Can not say. Show Answer Correct Answer: C) Always an irrational number. 33. The decimal expansion of the rational number $\frac{33}{2^2\cdot5}$ A) Two decimal places. B) More than 3 decimal places. C) Three decimal places. D) One decimal place. Show Answer Correct Answer: A) Two decimal places. 34. If the LCM of two numbers is 120 and their HCF is 10, and one number is 20, then the other number is: A) 30. B) 50. C) 60. D) 40. Show Answer Correct Answer: C) 60. 35. If LCM (77, 99) = 693, then HCF (77, 99) is A) 9. B) 11. C) 7. D) 22. Show Answer Correct Answer: B) 11. 36. Evaluate.log$_{}$$_{3}$81 A) $^{1}$/$_{4}$. B) -4. C) -$^{1}$/$_{4}$. D) 4. Show Answer Correct Answer: D) 4. 37. Perform the operation (-5) + 3.7-1.2 A) 2.3. B) -3.5. C) 0.5. D) -1.5. Show Answer Correct Answer: D) -1.5. 38. Select all sets that the number belongs to:$\sqrt{3}$ A) Rational Number. B) Integer. C) Irrational Number. D) Whole Number. E) Natural Number. Show Answer Correct Answer: C) Irrational Number. 39. If the HCF of two numbers is 12 and their product is 2880, then their LCM is: A) 240. B) 360. C) 100. D) 120. Show Answer Correct Answer: A) 240. 40. An army contingent of 616 members is to march behind an army band of 3 2members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march? A) 8. B) 9. C) 6. D) 7. Show Answer Correct Answer: A) 8. 41. Ex 3. Simplify-5-4+2 A) -7. B) 7. C) All the above. D) None of the above. Show Answer Correct Answer: A) -7. 42. Two natural numbers whose sum is 85 and the least common multiple is 102 are: A) 30 and 55. B) 17 and 68. C) 35 and 55. D) 51 and 34. Show Answer Correct Answer: D) 51 and 34. 43. The representation of $1.\overline{3}$ $\frac{p}{q}$ A) $\frac{3}{4}$. B) $\frac{5}{3}$. C) $\frac{5}{4}$. D) None of these. Show Answer Correct Answer: A) $\frac{3}{4}$. 44. The product of two factors is positive. One factor is negative. The other factor is ..... A) Positive. B) Zero. C) Not enough information. D) Negative. Show Answer Correct Answer: D) Negative. 45. Mrs. Evans has 120 crayons and 30 pieces of paper to give to her students. What is the largest number of students she can have in her class so that each student gets equal number of crayons and equal number of paper.Problem can be solved using A) LCM. B) HCF. C) None. D) None of the above. Show Answer Correct Answer: B) HCF. 46. The sum of one rational and one irrational number is always A) Positive. B) Irrational. C) Rationale. D) Zero. Show Answer Correct Answer: B) Irrational. 47. The decimal representation of $\frac{11}{2^3\\times5}$ A) Not terminate. B) Terminate after 3 decimal place. C) Terminate after 1 decimal place. D) Terminate after 2 decimal place. Show Answer Correct Answer: B) Terminate after 3 decimal place. 48. Can a real number be both rational and irrational? Justify your answer. A) Yes, a real number can be both rational and irrational. B) No, a real number cannot be both rational and irrational. C) Some real numbers can be both rational and irrational depending on context. D) A real number can be rational in one instance and irrational in another. Show Answer Correct Answer: B) No, a real number cannot be both rational and irrational. 49. Which set is in descending order? A) 15% .45 9/10. B) 9/10 .45 15%. C) .45 15% 9/10. D) 9/10 15% .45. Show Answer Correct Answer: B) 9/10 .45 15%. 50. Put the rational numbers in order from least to greatest.-4.2, -4$^{1}$/$_{2}$, -4, 0, 4 A) -4.2, -4 1/2-4, 0, 4. B) $^{0, -4 1/2, -4.2, 4, -4}$. C) $^{-4 1/2, -4.2, -4, 0, 4}$. D) $^{-4 1/2, -4.2, -4, 4, 0}$. Show Answer Correct Answer: C) $^{-4 1/2, -4.2, -4, 0, 4}$. 51. Is a rational number A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 52. Name the set or sets to which each real number belongs. $\frac{20}{7}$ A) Irrational. B) Natural Number. C) Rational. D) Whole Number. E) Integer. Show Answer Correct Answer: C) Rational. 53. Three traffic lights along a stretch of road will turn red at fixed time intervals of 1 minute, 1 minute10 seconds and 1 minute 18 seconds respectively. There are occasions when all three traffic lights willturn red simultaneously. If all of the traffic lights turned red simultaneously at 09 15, find the next time when they will turn red simultaneously again.Problem can be solved using A) HCF. B) LCM. C) All the above. D) None of the above. Show Answer Correct Answer: B) LCM. 54. Classify the following:0.478123123123123123 ..... A) Rational. B) Irrational. C) All the above. D) None of the above. Show Answer Correct Answer: A) Rational. 55. If two positive integers x and y are expressible in terms of primes as x = $p^2q^3$ $p^3q$ A) LCM = $pq^3$ $p^2q$. B) LCM = $p^3q^3$ $p^2q$. C) LCM = $pq^3$ $p^2q$. D) LCM = $p^3q^3$ $p^2q$. Show Answer Correct Answer: B) LCM = $p^3q^3$ $p^2q$. 56. If LCM of 6 and 20 is x and HCF of 6 and 20 is y then find $x+y$ A) 63. B) 62. C) 61. D) 60. Show Answer Correct Answer: B) 62. 57. A repeating decimal is what type of number? A) Rational. B) Irrational. C) All the above. D) None of the above. Show Answer Correct Answer: A) Rational. 58. What is the best classification for this number? 0 A) Natural. B) Rational. C) Integer. D) Whole. Show Answer Correct Answer: D) Whole. 59. The LCM of smallest two-digit composite number and smallest composite number is ..... A) 10. B) 40. C) 2. D) 20. Show Answer Correct Answer: D) 20. 60. L.C.M. of x$^{2}$ + x-12 and x$^{2}$-9 is A) X-3. B) (x-3)(x + 4). C) (x-3)(x + 3)(x + 4). D) (x + 3)(x + 4). Show Answer Correct Answer: C) (x-3)(x + 3)(x + 4). ← 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 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