This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Real Numbers > Class 10 Maths Chapter 1 Real Numbers – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 1 Real Numbers Quiz 11 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find LCM of 3pq, 7pqr$^{2}$, 10p$^{2}$q$^{2}$r$^{2}$ A) P$^{2}$q$^{2}$r$^{2}$. B) 70p$^{2}$q$^{2}$r$^{2}$. C) 105pq$^{2}$r$^{2}$. D) 210p$^{2}$q$^{2}$r$^{2}$. Show Answer Correct Answer: D) 210p$^{2}$q$^{2}$r$^{2}$. 2. For two positive integers a and b, there exist unique integers q and r such that a=bq +r where A) 0=r B) 0 C) 0b. D) None of these. Show Answer Correct Answer: D) None of these. 3. 2 $^{log }$$_{2 }$$^{7 =}$ A) 1. B) 0. C) 2. D) 7. Show Answer Correct Answer: D) 7. 4. If 1 foot = 12 inches, how many inches are in 5 feet? A) 30 inches. B) 50 inches. C) 60 inches. D) 40 inches. Show Answer Correct Answer: C) 60 inches. 5. The LCM of two numbers is 1200.Which of the the following cannot be their HCF A) 600. B) 500. C) 400. D) 200. Show Answer Correct Answer: B) 500. 6. The fundamental theorem of arithmetic states about ..... A) Prime numbers. B) Composite numbers. C) Co-prime numbers. D) None of the above. Show Answer Correct Answer: B) Composite numbers. 7. The least number that is divisible by all the numbers from 1 to 5 is:(a) 70(b) 60(c) 80(d) 90 A) B. B) D. C) A. D) C. Show Answer Correct Answer: A) B. 8. 2) 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. A) 120 students. B) 60 students. C) 30 students. D) None of the above. Show Answer Correct Answer: C) 30 students. 9. The smallest number by which $\sqrt{27}$ A) 3. B) $\sqrt{27}$. C) $\sqrt{3}$. D) $3\sqrt{3}$. Show Answer Correct Answer: C) $\sqrt{3}$. 10. Order the fractions from least to greatest. $\frac{1}{3, }\\frac{1}{4}, \\frac{5}{8}, \\frac{1}{2}$ A) $\frac{1}{2}, \\frac{1}{3}, \\frac{1}{4}, \frac{5}{8}$. B) $\frac{5}{8}, \\frac{1}{2}, \\frac{1}{3}, \\frac{1}{4}$. C) $\frac{1}{4}, \\frac{1}{3}, \\frac{1}{2}, \\frac{5}{8}$. D) $\frac{1}{4}, \\frac{1}{2}, \\frac{8}{8}, \\frac{1}{3}$. Show Answer Correct Answer: C) $\frac{1}{4}, \\frac{1}{3}, \\frac{1}{2}, \\frac{5}{8}$. 11. 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:What is the total number of rows in which they can be planted? A) 3. B) 15. C) 5. D) 8. Show Answer Correct Answer: D) 8. 12. $\frac{1}{\sqrt{9}-\sqrt{8}}$ A) $3-\sqrt{8}$. B) $\frac{\sqrt{9}-\sqrt{8}}{1}$. C) $3+\sqrt{8}$. D) $\sqrt{9}-\sqrt{8}$. Show Answer Correct Answer: C) $3+\sqrt{8}$. 13. Rationalize the denominator:$\frac{2\sqrt{8}}{\sqrt{12}}$ A) $\frac{2\sqrt{6}}{3}$. B) $\frac{\sqrt{96}}{6}$. C) $\frac{4\sqrt{2}}{2\sqrt{3}}$. D) $\frac{2\sqrt{96}}{12}$. Show Answer Correct Answer: A) $\frac{2\sqrt{6}}{3}$. 14. The multiplication of two irrational numbers is:(a) irrational number(b) rational number(c) Maybe rational or irrational(d) None A) C. B) B. C) A. D) D. Show Answer Correct Answer: A) C. 15. Pick the correct set and why $0.73733733373333 ..... $ A) Rational No Pattern. B) RationalRepeating decimal. C) Irrational, Repeating decimal. D) IrrationalNo Pattern. Show Answer Correct Answer: D) IrrationalNo Pattern. 16. The decimal expansion of 13/125 will terminate after how many decimal places? A) 1. B) 4. C) 2. D) 3. Show Answer Correct Answer: B) 4. 17. If p is positive and n is negative, $\frac{n}{p}$ A) Negative. B) Undefined. C) Positive. D) Zero. Show Answer Correct Answer: A) Negative. 18. Provide an example of a rational number and explain why it is rational. A) 1/2. B) -5. C) 3.14. D) Sqrt(2). Show Answer Correct Answer: A) 1/2. 19. If n is a natural number, then 6$^{n-}$$_{ }$5$^{n }$always ends with digit- A) 7. B) 5. C) 1. D) 3. Show Answer Correct Answer: C) 1. 20. LCM of 19 and 23 is A) 437. B) 247. C) 3258. D) None. Show Answer Correct Answer: A) 437. 21. $\frac{16^{\frac{1}{3}}\times8^{\frac{1}{3}}}{32^{\frac{-1}{3}}}=$ A) 8. B) 4. C) 2. D) 16. Show Answer Correct Answer: D) 16. 22. 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:Fins the total number of plants? A) 225. B) 45. C) 135. D) 360. Show Answer Correct Answer: D) 360. 23. A square wall has an area of about 87.5 square feet. Which best represents the approximate length of the wall? A) 43.75 feet. B) 21.9 feet. C) 9.4 feet. D) None of the above. Show Answer Correct Answer: C) 9.4 feet. 24. A number which is neither prime nor composite A) 1. B) Not determined. C) 3. D) 2. Show Answer Correct Answer: A) 1. 25. Find the biggest number which can divide both 324 and 144. A) 9. B) 18. C) 21. D) 36. Show Answer Correct Answer: D) 36. 26. If p is a prime number and p divides $k^2$ A) 2 $k^2$. B) K. C) 3k. D) None of these. Show Answer Correct Answer: B) K. 27. Which of the following represents a fraction that converts to a repeating decimal with a value LESS than one? A) 3/5. B) 2/3. C) 1/4. D) 11/9. Show Answer Correct Answer: B) 2/3. 28. A repeating decimal and a terminating decimal which of the following in common. A) Both are whole numbers. B) Both are irrational. C) Both are rational. D) They have nothing in common. Show Answer Correct Answer: C) Both are rational. 29. The lowest common multiple of 12 and A is 48. Which of these is a possible value for A? A) 8. B) 96. C) 12. D) 48. Show Answer Correct Answer: D) 48. 30. Between which two consecutive integers would you find $\sqrt[]{270}$ A) 15 and 16. B) 16 and 17. C) 17 and 18. D) None of the above. Show Answer Correct Answer: B) 16 and 17. 31. Three boys shared a whole pizza. Andrew ate 25% of the pizza. Alonso ate 5/8 of the pizza. Tyler ate .125 of the pizza. Who ate the most? A) Andrew. B) Alonso. C) Tyler. D) They all ate the same amount. Show Answer Correct Answer: B) Alonso. 32. $\sqrt{10}\\times\sqrt{5}$ A) 5. B) $\sqrt{150}$. C) $\sqrt{50}$. D) $\sqrt{15}$. Show Answer Correct Answer: C) $\sqrt{50}$. 33. On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps? A) 2528cm. B) 2520cm. C) 2555cm. D) 2525cm. Show Answer Correct Answer: B) 2520cm. 34. The square root of 64 is a natural number. A) False. B) True. C) All the above. D) None of the above. Show Answer Correct Answer: B) True. 35. Find the HCF of 20 and 24 A) 12. B) 4. C) 6. D) 5. Show Answer Correct Answer: B) 4. 36. If m$^{n}$ = 32, where m and n are positive integers, then the value of (n)$^{mn}$ is A) 9785625. B) 9765625. C) 9775625. D) 9865625. Show Answer Correct Answer: B) 9765625. 37. Order the following numbers from least to greatest. $3\pi, \\\sqrt{10}, \\3.25$ A) $\sqrt{10}, \\3\pi, \\3.25$. B) $\sqrt{10}, \\3.25, \\3\pi$. C) $3.25, \\\sqrt{10}, \\3\pi$. D) $3\pi, \\3.25, \\\sqrt{10}$. Show Answer Correct Answer: B) $\sqrt{10}, \\3.25, \\3\pi$. 38. $\frac{\sqrt{3}-\sqrt{7}}{\sqrt{3}+\sqrt{7}}$ A) $\frac{10-\sqrt{21}}{-2}$. B) $\frac{5-2\sqrt{21}}{-2}$. C) $-\frac{4}{10}=-\frac{2}{5}$. D) $\frac{5-\sqrt{21}}{-2}$. Show Answer Correct Answer: D) $\frac{5-\sqrt{21}}{-2}$. 39. Classify the number:0 A) Irrational Number. B) Real Number. C) Imaginary. D) Natural Number. Show Answer Correct Answer: B) Real Number. 40. Which of these values is the GREATEST? A) 63/7. B) 450%. C) -22. D) 8.99. Show Answer Correct Answer: A) 63/7. 41. What is Euclid's division Lemma? A) Q=a-Rb. B) A=Bq+r. C) A=bq. D) A=br+q. Show Answer Correct Answer: B) A=Bq+r. 42. HCF of 144 and 420 is 12 then their LCM is A) 4200. B) 5040. C) 1440. D) 6040. Show Answer Correct Answer: B) 5040. 43. Write 0.35 as a fraction in simplest form. A) 35/100. B) 3/10. C) 3.5/10. D) 7/20. Show Answer Correct Answer: D) 7/20. 44. A ..... is a proven statement used for proving another statement. A) Axiom. B) Theorem. C) Algorithm. D) Lemma. Show Answer Correct Answer: D) Lemma. 45. Using Euclid's division algorithm, find the largest number that divides 170 and 243leaving remainders 2 and 3, respectively. A) 17. B) 24. C) 25. D) None of these. Show Answer Correct Answer: B) 24. 46. Which is the least:0.06 or 0.060 A) They are equal. B) 0.060. C) Depends on the time of day. D) 0.06. Show Answer Correct Answer: A) They are equal. 47. Ex 2. Subtract10.7-(-9.8) A) 0.9. B) 20.5. C) -20.5. D) -0.9. Show Answer Correct Answer: B) 20.5. 48. Rewrite log$_{2}$8 = 3 in exponential form A) 8$^{3}$ = 2. B) 2$^{3}$ = 8. C) 2$^{8}$ = 3. D) 3$^{2}$ = 8. Show Answer Correct Answer: B) 2$^{3}$ = 8. 49. Integers do not contain decimals or fractions, but rational numbers do. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 50. Ex 2. Subtract2-8 A) -6. B) 10. C) -10. D) 6. Show Answer Correct Answer: A) -6. 51. For any integer n, the even integer is represented in the form of ..... A) 2n. B) 3n-1. C) 2n + 1. D) $n^2$. Show Answer Correct Answer: A) 2n. 52. Three bells toll at intervals of 9, 12, 15 minutes respectively. If they start tolling together, after what time will they next toll together? (2013) A) 4.15 hours. B) 3 hours. C) 2.5 hours. D) 2 hours. Show Answer Correct Answer: B) 3 hours. 53. (19 x 5) x 2 = 19 x (5 x 2) A) Commutative Property of Multiplication. B) Associative Property of Addition. C) Identity Property of Multiplication. D) Associative Property of Multiplication. Show Answer Correct Answer: D) Associative Property of Multiplication. 54. Is ..... number. A) An irrational number. B) A rational number. C) None of these. D) None of the above. Show Answer Correct Answer: B) A rational number. 55. Which of these integer is not a whole number? A) -6. B) 6. C) 66. D) None of the above. Show Answer Correct Answer: A) -6. 56. If a and b are positive integers, then HCF (a, b) x LCM (a, b) = A) Axb. B) A+b. C) A/b. D) A-b. Show Answer Correct Answer: A) Axb. 57. 1) LCM of two numbers is 45 times their HCF and sum of LCM and HCF is 1150, then find HCF A) 26. B) 25. C) 27. D) 28. Show Answer Correct Answer: B) 25. 58. The total cost of attending a state university is $ 19, 700 for the first year.-A student 's grandparents will pay half of this cost.-An athletic scholarship will pay another $ 5, 000.Which amount is closest to the minimum that the student will need to save every month in order to pay off the remaining cost at the end of 12 months? A) $ 820.83. B) $ 612.50. C) $ 1, 029.17. D) $ 404.17. Show Answer Correct Answer: D) $ 404.17. 59. 1) If xy=180 and HCF (x, y) =3, then the LCM (x, y). A) 540. B) 60. C) 100. D) 80. Show Answer Correct Answer: B) 60. 60. The square root of a positive integer is a rational number. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. ← 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