This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Real Numbers > Class 10 Maths Chapter 1 Real Numbers – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 1 Real Numbers Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The total number of distinct primes in the prime factorisation of 27300 are: A) 3. B) 5. C) 4. D) 2. Show Answer Correct Answer: B) 5. 2. HCF of 26 and 91 is: A) 11. B) 15. C) 13. D) 19. Show Answer Correct Answer: C) 13. 3. If two positive integers a & b are written as a= $x^3y^2$ $xy^3$ A) $x^2y^2$. B) $x^3y^3$. C) Xy. D) $xy^2$. Show Answer Correct Answer: B) $x^3y^3$. 4. Which list shows the following numbers in order from least to greatest:0.9, 77%, $\frac{4}{5}$ A) 100%, 0.9, undefined, 77%. B) Undefined, 0.9, 77%, 100%. C) 0.9, undefined, 100%, 77%. D) 77%, undefined, 0.9, 100%. Show Answer Correct Answer: D) 77%, undefined, 0.9, 100%. 5. The cube of every number is of the form- A) 2m, 2m+1, 2m+2. B) 3m, 3m+1, 3m+2. C) 3m, 3m+1, 3m+8. D) None of these. Show Answer Correct Answer: C) 3m, 3m+1, 3m+8. 6. The length, breadth, and height of a room are 8 m 50 cm, 6 m 25 cm and 4 m 75 cm respectively. Find the length of the longest rod that can measure the dimensions of the room exactly. (2015) A) 25 m. B) 6.5 m. C) 65 cm. D) 25 cm. Show Answer Correct Answer: D) 25 cm. 7. The LCM and HCF of two rational numbers are equal, then the numbers must be A) Equal. B) Co-prime. C) Prime. D) Composite. Show Answer Correct Answer: A) Equal. 8. Calculate the quotient of 10 and-2 A) 3. B) 2. C) 0. D) -5. Show Answer Correct Answer: D) -5. 9. A never ending decimal that doesn't repeat is which type of number? A) Rational. B) Whole. C) Irrational. D) Integer. Show Answer Correct Answer: C) Irrational. 10. Four bells toll at intervals of 10 s, 15s, 20s and 30s respectively.If they toll together at 10:00 am at what time will they toll together for the first time after 10am? A) 10:00:45am. B) 10:02 am. C) 10:01 am. D) 10:00:30am. Show Answer Correct Answer: C) 10:01 am. 11. The exponent of 2 in the prime factorisation of 144, is A) 4. B) 6. C) 3. D) 5. Show Answer Correct Answer: A) 4. 12. All irrational numbers are A) Real. B) Whole. C) Natural. D) Integer. Show Answer Correct Answer: A) Real. 13. Which statement is NOT true? A) 8.14 is a rational number. B) 0.121212 is a rational number. C) 5.12345 is an irrational number. D) 0.34353637 is an irrational number. Show Answer Correct Answer: D) 0.34353637 is an irrational number. 14. 12n ends with the digit 0 or 5 for natural number n A) 5. B) 3. C) NO VALUE. D) 2. Show Answer Correct Answer: C) NO VALUE. 15. In every case, LCM is a multiple of HCF A) Maybe. B) False. C) True. D) Cannot predict. Show Answer Correct Answer: C) True. 16. If 'a' and 'b' are co-prime, then a$^{2}$ and b$^{2}$ are A) Even numbers. B) Odd numbers. C) Co-prime. D) Not co-prime. Show Answer Correct Answer: C) Co-prime. 17. Which if these is rational number? A) 0.3466666. B) 0.345210651376643 . C) $3\pi$. D) $5\sqrt[]{5}$. Show Answer Correct Answer: A) 0.3466666. 18. To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library.There are two sections.-Section A and Section B of grade X.There are 32 students in Section A and 36 students in Section B.Based on the above information answer the following questions. $7\times11\times13\times15+15$ A) Prime number. B) Composite number. C) Neither prime nor composite. D) None of the above. Show Answer Correct Answer: B) Composite number. 19. LCM of (2$^{3}$x3x5) and (2$^{4}$x5x7) ..... A) 40. B) 560. C) 1680. D) 1120. Show Answer Correct Answer: C) 1680. 20. HCF of 8, 9, 25 is A) 8. B) 25. C) 9. D) 1. Show Answer Correct Answer: D) 1. 21. Find the period of decimal0.3333 ..... A) 0.3. B) 3. C) 1. D) 4. Show Answer Correct Answer: C) 1. 22. Solve:$13^{\frac{1}{5}}\times7^{\frac{1}{5}}$ A) $91$. B) $20^{\frac{1}{5}}$. C) $91^{\frac{2}{5}}$. D) $91^{\frac{1}{5}}$. Show Answer Correct Answer: D) $91^{\frac{1}{5}}$. 23. The decimal expansion of a number is terminating then it is A) Irrational. B) Rational. C) All the above. D) None of the above. Show Answer Correct Answer: B) Rational. 24. Rational numbers can always be written as a ..... A) Negative number. B) Decimal. C) Fraction. D) Whole number. Show Answer Correct Answer: C) Fraction. 25. The value of 4c is greater than the value of c. A) Always. B) Sometimes. C) Never. D) None of the above. Show Answer Correct Answer: B) Sometimes. 26. Indicate the two integers. A) 11/5, 7. B) -6, 6. C) 21/8, 4. D) None of the above. Show Answer Correct Answer: B) -6, 6. 27. When should I use LCM? A) When I see the word Lithium. B) When I see the word Loyal. C) When I see the word Legal. D) When I see the word Least. Show Answer Correct Answer: D) When I see the word Least. 28. $-\frac{1}{3}-\frac{2}{3}$ A) -1. B) 0. C) 1. D) None of the above. Show Answer Correct Answer: A) -1. 29. The least number divisible by the natural numbers 1 to 10 (both inclusive) is ..... A) 100. B) 10. C) 2520. D) 504. Show Answer Correct Answer: C) 2520. 30. Name the set or sets to which each real number belongs. $\sqrt{12}$ A) Integer. B) Natural Number. C) Irrational. D) Rational. E) Whole Number. Show Answer Correct Answer: C) Irrational. 31. Which one of the following can't be the square of a natural number? A) 81225. B) 20164. C) 32761. D) 42437. Show Answer Correct Answer: D) 42437. 32. Which one of the following is a correct statement? A) Decimal expansion of a rational number is terminating. B) Decimal expansion of a rational number is non terminating. C) Decimal expansion of an irrational number is terminating. D) Decimal expansion of an irrational number is non terminating and non repeating. Show Answer Correct Answer: D) Decimal expansion of an irrational number is non terminating and non repeating. 33. Between which two integers does-$\sqrt{7}$ A) -1, -2. B) -3, -2. C) -5, -6. D) None of the above. Show Answer Correct Answer: B) -3, -2. 34. The rational numbers which have terminating decimal expansion is A) 129/(2$^{2}$ x 5$^{2}$ x 7$^{2}$). B) 125/441. C) 15/1600. D) 77/210. Show Answer Correct Answer: C) 15/1600. 35. Rachel states that-5.5 is an integer because it is negative.Is she correct?Why or why not? A) Yes, because all negatives are integers. B) Yes, because all integers have decimals. C) No, because integers do not have decimals. D) No, because integers cannot be negative. Show Answer Correct Answer: C) No, because integers do not have decimals. 36. -12/-3 is a natural number. What is that number? A) 3. B) -4. C) 4. D) None of the above. Show Answer Correct Answer: C) 4. 37. The largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is A) 45. B) 34. C) 17. D) 11. Show Answer Correct Answer: C) 17. 38. -14 could be classified as all of these EXCEPT? A) Real. B) Integer. C) Whole. D) Rational. Show Answer Correct Answer: C) Whole. 39. The decimal form of $\frac{5}{8}$ A) 0.750. B) 0.375. C) 0.600. D) 0.625. Show Answer Correct Answer: D) 0.625. 40. Two students run around a circular ground. One takes 6min and the other takes 8 min to complete a round. If they start from the same point, what is the minimum time required for them to reach the same point minutes. A) 30 min. B) 15 min. C) 24 min. D) 48 min. Show Answer Correct Answer: C) 24 min. 41. Identify the propertya + b = b + a A) Identity of addtion. B) Associative of addition. C) Commutative of addition. D) Symmetric. Show Answer Correct Answer: C) Commutative of addition. 42. The natural, 4n, where n is a natural number, ends with the digit 0 for any natural number n. A) TRUE. B) FALSE. C) CAN'T SAY. D) PARTIALLY TRUE. Show Answer Correct Answer: B) FALSE. 43. What is the value of (256)0.16 X (256)0.09? A) 16. B) 2. C) 4. D) 256.25. Show Answer Correct Answer: C) 4. 44. 1) The LCM of two numbers is 1200. Which of the following cannot be their HCF? A) 400. B) 600. C) 200. D) 500. Show Answer Correct Answer: D) 500. 45. $\frac{10+8\sqrt{7}}{\sqrt{31}}$ A) $\frac{3\sqrt{221}}{16}$. B) $\frac{10\sqrt{31}+8\sqrt{217}}{31}$. C) $\frac{10\sqrt{33}+8\sqrt{231}}{33}$. D) $\frac{8\sqrt{31}+11\sqrt{217}}{31}$. Show Answer Correct Answer: B) $\frac{10\sqrt{31}+8\sqrt{217}}{31}$. 46. The product of a non-zero rational and an irrational number is: A) Always whole. B) Sometimes rational. C) Always irrational. D) Always rational. Show Answer Correct Answer: C) Always irrational. 47. All whole numbers are integers. A) False. B) True. C) All the above. D) None of the above. Show Answer Correct Answer: B) True. 48. The values of the remainder r, when a positive integer a is divided by 3 are: A) 0, 1, 2, 3. B) 0, 1, 2. C) 2, 3, 4. D) None of these. Show Answer Correct Answer: B) 0, 1, 2. 49. The seventh root of x divided by the eighth root of x is A) $x^{\frac{1}{56}}$. B) $\frac{1}{x^{\frac{1}{56}}}$. C) X. D) $\sqrt{x}$. Show Answer Correct Answer: A) $x^{\frac{1}{56}}$. 50. The Decimal expansion of rational numbers is A) Terminating Decimals. B) Neither terminating nor non-terminating recurring decimals. C) Non-terminating recurring decimals. D) Either terminating or non-terminating recurring decimals. Show Answer Correct Answer: D) Either terminating or non-terminating recurring decimals. 51. When t is negative, $\frac{t}{10}$ A) Always. B) Sometimes. C) Never. D) None of the above. Show Answer Correct Answer: A) Always. 52. Which is ordered least to greatest? A) -3/7, 1/4, 1/2. B) 1/2, 1/4, -3/7. C) -3/7, 1/2, 1/4. D) 1/4, -3/7, 1/2. Show Answer Correct Answer: A) -3/7, 1/4, 1/2. 53. True or false.The number 7 is a natural number. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 54. The set of natural numbers plus a "0" W = {0, 1, 2, 3, ..... } A) Irrational Numbers. B) Natural Numbers. C) Integers. D) Whole Numbers. Show Answer Correct Answer: D) Whole Numbers. 55. Which list shows the numbers in order from greatest value to least value? A) $\frac{39}{8}$ $4.84$ $\sqrt{24}$. B) $\frac{39}{8}$ $\sqrt{24}$. C) $\frac{39}{8}$ $\sqrt{24}$ $4.84$. D) $\sqrt{24}$ $\frac{39}{8}$ $4.84$. Show Answer Correct Answer: D) $\sqrt{24}$ $\frac{39}{8}$ $4.84$. 56. S is called irrational if it cannot be written in the form of ..... where p and q are integers and ..... A) $\frac{p}{q}$. B) $\frac{p}{q}$. C) $\frac{p}{q}$ $\ne$. D) $\frac{p}{q}$ $\ne$. Show Answer Correct Answer: C) $\frac{p}{q}$ $\ne$. 57. Which example demonstrates the associative property of addition? A) 11+1=1+11. B) (6+2)+3=6+(2+3). C) 8+(-8)=0. D) 12+0=12. Show Answer Correct Answer: B) (6+2)+3=6+(2+3). 58. Write an irrational number between 2 and 3. A) 2.1333333456 . B) 2.5. C) 2.13. D) 2.001. Show Answer Correct Answer: A) 2.1333333456 . 59. The decimal expansion of the rational number $\frac{14587}{1250}$ A) Three decimal places. B) Four decimal places. C) Two decimal places. D) One decimal place. Show Answer Correct Answer: B) Four decimal places. 60. 2$^{7 }$ /2$^{3}$ is$^{ }$ A) 2$^{4}$. B) 2$^{10}$. C) 32. D) One and two options. Show Answer Correct Answer: A) 2$^{4}$. ← 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 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