This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Real Numbers > Class 10 Maths Chapter 1 Real Numbers – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 1 Real Numbers Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Three comets moving through the galaxy will pass through our solar system every 75 years, 120 yearsand 300 years respectively. The three comets were last observed in our solar system in the year 1680.In which year will all the three comets be seen in our solar system together 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. 2. Is the answer to $\sqrt{25}$ A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 3. Two numbers with 18 as their HCF and 3672 as their LCM are A) 216 and 306. B) 256and 306. C) 206 and 316. D) 162 and 324. Show Answer Correct Answer: A) 216 and 306. 4. The decimal expansion of number $\frac{441}{2^2\times5^3\times7}$ A) Terminating after two decimal place. B) Non terminating non repeating. C) A terminating decimal. D) Non terminating but repeating. Show Answer Correct Answer: C) A terminating decimal. 5. Name the set or sets to which each real number belongs. $\sqrt{2}$ A) Irrational. B) Rational. C) Integer. D) Whole Number. E) Natural Number. Show Answer Correct Answer: A) Irrational. 6. (-1)$^{n}$ + (-1)$^{8n}$ = 0 when n is A) Any positive integer. B) Any negative integer. C) Any odd natural number. D) Any even numeral number. Show Answer Correct Answer: C) Any odd natural number. 7. Fill in the blank to properly show the DISTRIBUTIVE PROPERTY:7(11 + 4) = 77 + ..... A) 4. B) 28. C) 7. D) 3. Show Answer Correct Answer: B) 28. 8. If p is positive, n is negative, and z is zero, pnz is A) Negative. B) Undefined. C) Zero. D) Positive. Show Answer Correct Answer: C) Zero. 9. Which number is not a perfect square? A) 4. B) 9. C) 64. D) 50. Show Answer Correct Answer: D) 50. 10. The product of a non-zero number and an irrational number is A) Always irrational. B) Always rational. C) May be rrational or rational. D) None of the above. Show Answer Correct Answer: A) Always irrational. 11. If two positive integers a and b are written as a =x$^{5}$y$^{2}$ and b=x$^{2}$y$^{3}$ (x and y are prime numbers) then HCF (a, b) is A) X$^{2}$y$^{2}$. B) Xy. C) X$^{5}$y$^{3}$. D) X$^{3}$y$^{3}$. Show Answer Correct Answer: A) X$^{2}$y$^{2}$. 12. Which of the following correctly classifies the number-12 to all of the number sets which it belongs? A) Real & Rational. B) Real & Irrational. C) Real, Rational, Integer, & Whole. D) Real, Rational, & Integer. Show Answer Correct Answer: D) Real, Rational, & Integer. 13. Ex 4. Multiply(-2) 1/6 A) 2 1/6. B) 1/3. C) -2 1/6. D) -1/3. Show Answer Correct Answer: D) -1/3. 14. For any positive integer and a and 3, there exist unique integer q and r such that a=3q+r, where r must satisfy A) $0 B) $0\le r<3$. C) $0 D) $1<$ $<$. Show Answer Correct Answer: B) $0\le r<3$. 15. $\left(1.4\times10^4\right)-\left(2.83\times10^3\right)$ A) $1.117\times10^4$. B) $1.43\times10^3$. C) $-1.43\times10^1$. D) $1.43\times10^4$. Show Answer Correct Answer: A) $1.117\times10^4$. 16. A teacher divided a class of students into 3 groups of the same size. Which term describes the number of students in each group? A) Whole number. B) Integer. C) Rational number. D) None of the above. Show Answer Correct Answer: A) Whole number. 17. The collection of all rational numbers and irrational numbers is known as A) Whole numbers. B) Integers. C) Real Numbers. D) Natural Numbers. Show Answer Correct Answer: C) Real Numbers. 18. In a morning walk, three persons step off together. Their steps measure 80 cm, 85 cm and 90 cmrespectively. What is the minimum distance each should walk so that all can cover the same distancein complete steps? A) 1240. B) 12240. C) 12440. D) 1224. Show Answer Correct Answer: B) 12240. 19. HCF (135, 225) = 45, find the LCM (135, 225) A) 315. B) 675. C) 180. D) 450. Show Answer Correct Answer: B) 675. 20. A fraction is which type of number? A) Rational. B) Irrational. C) Whole. D) Integer. Show Answer Correct Answer: A) Rational. 21. $\\left|\-4\\right|$ A) $1$. B) $0$. C) $-4$. D) $4$. Show Answer Correct Answer: D) $4$. 22. What is the definition of an integer A) All positive and negative whole numbers. B) Decimals or fractions that terminate for repeat. C) All positive whole numbers. D) 0. Show Answer Correct Answer: A) All positive and negative whole numbers. 23. Classify the following:0.04769165821735 ..... A) Irrational. B) Rational. C) All the above. D) None of the above. Show Answer Correct Answer: A) Irrational. 24. If one zero of the quadratic polynomial 2x$^{2}$+kx-15 is 3, then find the other zero A) 2/5. B) -5. C) -2/5. D) -5/2. Show Answer Correct Answer: D) -5/2. 25. The HCF of the smallest composite number and smallest prime number is A) 3. B) 2. C) 4. D) 1. Show Answer Correct Answer: B) 2. 26. Which of the following is rational? A) $\sqrt{6}$ $\sqrt{9}$. B) $\sqrt{2}$ $\sqrt{4}$. C) $\sqrt{3}$ $\sqrt{9}$. D) $\sqrt{4}$ $\sqrt{9}$. Show Answer Correct Answer: D) $\sqrt{4}$ $\sqrt{9}$. 27. The HCF of 65 and 117 is: A) 1. B) 65. C) 13. D) 15. Show Answer Correct Answer: C) 13. 28. Ex 3. Simplify-3-11+7 A) -7. B) 7. C) All the above. D) None of the above. Show Answer Correct Answer: A) -7. 29. If a = 2$^{3}$ x 3, b= 2 x 3 x4, c = 3$^{n }$x 5and LCM (a, b, c) = 2$^{3 }$x 3$^{2}$x 5 then n = ..... A) 3. B) 2. C) 1. D) None of the above. Show Answer Correct Answer: B) 2. 30. The decimal expansion of 17/18 is A) 2.125. B) 1.251. C) 0.15. D) 2.152. Show Answer Correct Answer: A) 2.125. 31. The LCM of x and 18 is 36. The HCF is 2. Then x is ..... A) 4. B) 3. C) 1. D) 2. Show Answer Correct Answer: A) 4. 32. Divide 7 by 12 to change $\frac{7}{12}$ $\frac{7}{12}=7\div12=$ A) $0.58$. B) $0.5\overline{83}$. C) $0.58\overline{3}$. D) None of the above. Show Answer Correct Answer: C) $0.58\overline{3}$. 33. Irrational number means A) Neitherterminating nor repeating. B) Either repeating or terminating. C) All the above. D) None of the above. Show Answer Correct Answer: A) Neitherterminating nor repeating. 34. Which of the following is irrational? A) 0.501500150001 . B) 0.01516. C) 0.15. D) $0.\overline{01516}$. Show Answer Correct Answer: A) 0.501500150001 . 35. Classify this number:2 A) Real rational integer. B) Real. C) Real rational integer whole. D) Real rational. Show Answer Correct Answer: C) Real rational integer whole. 36. LCM of the given number 'x' and 'y' where y is a multiple of 'x' is given by A) X. B) Y. C) X/y. D) Xy. Show Answer Correct Answer: B) Y. 37. Which option is RATIONAL A) $0.\overline{7}$. B) $\sqrt{2}$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $0.\overline{7}$. 38. Classify this number:6.7 A) Real. B) Real rational. C) Real rational integer. D) Real rational integer whole natural. Show Answer Correct Answer: B) Real rational. 39. True or false? All whole numbers are integers. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 40. HCF of smallest prime and smallest composite number A) 2. B) 4. C) 3. D) 1. Show Answer Correct Answer: A) 2. 41. Pick the correct set and why $0.\overline{4}$ A) RationalTerminating decimal. B) RationalRepeating decimal. C) IrrationalTerminating decimal. D) Irrational, Repeating decimal. Show Answer Correct Answer: B) RationalRepeating decimal. 42. Which number is irrational? A) -12. B) 0. C) $\pi$. D) $\frac{3}{4}$. Show Answer Correct Answer: C) $\pi$. 43. A plastic bin contains red, yellow, and green key chains. Out of 350 key chains, 10% percent are yellow. Of the remaining key chains, 3/5 are green. How many red key chains are inside the bin? A) 35. B) 189. C) 26. D) 126. Show Answer Correct Answer: D) 126. 44. The decimal expansion of 7/8 is: A) Terminating. B) Non-terminating repeating. C) Non-terminating non-repeating. D) None of these. Show Answer Correct Answer: A) Terminating. 45. Three bells ring at an interval of 48, 60, 72 min. If they start ringing together after how much time will they ring together next. A) 1440. B) 60 min. C) 12 min. D) 72 min. Show Answer Correct Answer: A) 1440. 46. Jeremy says that 5.676677666777 ..... is a rational number because it is a decimal that goes on forever with a pattern.Is he correct?Why or why not? A) Yes, because the decimal is repeating. B) No, because it is an integer. C) No, because a pattern is not a repeating decimal. D) None of the above. Show Answer Correct Answer: C) No, because a pattern is not a repeating decimal. 47. Write the point where the graph of the polynomial p(x)=2x-5 is a straight line which intersects the X-axis at exactly one point. A) (5/2, 0). B) (2/5, 0). C) (0, 5/2). D) (0, 2/5). Show Answer Correct Answer: A) (5/2, 0). 48. If the HCF of 65 and 117 is expressed in the form 65m-117n, then the values of m and n are: A) M = 4, n = 3. B) M = 1, n = 2. C) M = 2, n = 1. D) M = 3, n = 4. Show Answer Correct Answer: D) M = 3, n = 4. 49. Which is the best estimate of the square root of 63? A) 7.3. B) 7.5. C) 7.1. D) 7.9. Show Answer Correct Answer: D) 7.9. 50. What is an example of an irrational number? A) .75575557654 . B) 0. C) 23. D) -2/3. Show Answer Correct Answer: A) .75575557654 . 51. The LCM of smallest prime and smallest odd composite number is: A) 6. B) 18. C) 2. D) 9. Show Answer Correct Answer: B) 18. 52. If a number is of the form 4k + 3, then it is always: A) Even. B) Prime. C) Odd. D) Composite. Show Answer Correct Answer: C) Odd. 53. A circular field has a circumference of 360 km. Two cyclists Sumeet and Johan start together and can cycle at speeds of 12km/hr and 15km/hr respectively round the field.Based on the above information answer the following questions:What is the time taken by Sumeet to complete to one round? A) 4320 hours. B) 12 hours. C) 6 hours. D) 30 hours. Show Answer Correct Answer: D) 30 hours. 54. $x^2=\frac{4}{9}$ A) $x=\frac{2}{3}$. B) $x=\frac{4}{3}$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x=\frac{2}{3}$. 55. The sum of a rational and irrational number is A) (a) rational. B) B) irrational. C) (c) both of above. D) (d) none of above. Show Answer Correct Answer: B) B) irrational. 56. A list of numbers ordered from least value to greatest value is shown. One number is missing:$\frac{18}{5}$ $\sqrt{17}$ A) $\frac{57}{15}$. B) 4.5. C) . D) 3.8%. Show Answer Correct Answer: A) $\frac{57}{15}$. 57. The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is: A) 40. B) 5. C) 13. D) 8. Show Answer Correct Answer: C) 13. 58. Which statement about the real number system is NOT true? A) All square roots are either natural numbers, or irrational numbers. B) All whole numbers are also natural numbers, except for 0. C) Repeating decimals are rational. D) Some fractions are irrational. Show Answer Correct Answer: D) Some fractions are irrational. 59. LCM of 5 and 10 is A) 20. B) 10. C) 50. D) 5. Show Answer Correct Answer: B) 10. 60. The difference of an irrational number and a rational number is an irrational number. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 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