NCERT Book Class 10th Maths MCQ
Chapter 1 : Real Numbers
MCQs on Real Numbers
1. Which of the following is not an irrational number?
a) √2
b) √3
c) √4
d) √5
Answer: c) √4
2. The decimal expansion of a rational number is always:
a) Terminating
b) Non-terminating and non-repeating
c) Non-terminating and repeating
d) Either (a) or (c)
Answer: d) Either (a) or (c)
3. The HCF of 96 and 404 is:
a) 4
b) 6
c) 8
d) 12
Answer: a) 4
4. The LCM of 6 and 20 is:
a) 60
b) 30
c) 120
d) 80
Answer: a) 60
5. Which of the following numbers is irrational?
a) 0.101101110…
b) 0.333…
c) 0.666
d) 0.1414…
Answer: a) 0.101101110…
6. The decimal expansion of 13/3125 will terminate after how many places?
a) 3
b) 4
c) 5
d) 6
Answer: c) 5
7. The product of two irrational numbers is:
a) Always irrational
b) Always rational
c) Rational or irrational
d) None of these
Answer: c) Rational or irrational
8. The HCF of two consecutive even numbers is:
a) 1
b) 2
c) 0
d) 4
Answer: b) 2
9. The sum of a rational and an irrational number is:
a) Rational
b) Irrational
c) Either rational or irrational
d) Neither
Answer: b) Irrational
10. The LCM of two co-prime numbers is:
a) 1
b) Their sum
c) Their product
d) Their difference
Answer: c) Their product
11. The decimal expansion of π (pi) is:
a) Terminating
b) Non-terminating and repeating
c) Non-terminating and non-repeating
d) None of these
Answer: c) Non-terminating and non-repeating
12. The HCF of 17 and 19 is:
a) 0
b) 1
c) 17
d) 19
Answer: b) 1
13. The smallest composite number is:
a) 1
b) 2
c) 3
d) 4
Answer: d) 4
14. The number 1.2348 is a:
a) Rational number
b) Irrational number
c) Integer
d) None of these
Answer: a) Rational number
15. The HCF of two consecutive odd numbers is:
a) 1
b) 2
c) 3
d) 0
Answer: a) 1
16. The decimal expansion of 3/8 is:
a) 0.375
b) 0.365
c) 0.355
d) 0.385
Answer: a) 0.375
17. Which of the following is a terminating decimal?
a) 1/3
b) 2/7
c) 5/8
d) 1/6
Answer: c) 5/8
18. The sum of two irrational numbers is:
a) Always irrational
b) Always rational
c) Rational or irrational
d) None of these
Answer: c) Rational or irrational
19. The HCF of 12 and 15 is:
a) 3
b) 4
c) 5
d) 6
Answer: a) 3
20. The LCM of 8 and 12 is:
a) 8
b) 12
c) 24
d) 36
Answer: c) 24
21. The number 0 is a:
a) Rational number
b) Irrational number
c) Neither rational nor irrational
d) None of these
Answer: a) Rational number
22. The decimal expansion of 7/10 is:
a) 0.7
b) 0.07
c) 0.007
d) 0.0007
Answer: a) 0.7
23. The product of two rational numbers is always:
a) Rational
b) Irrational
c) Either rational or irrational
d) None of these
Answer: a) Rational
24. The HCF of 24 and 36 is:
a) 6
b) 8
c) 12
d) 18
Answer: c) 12
25. The LCM of 15 and 25 is:
a) 50
b) 75
c) 100
d) 125
Answer: b) 75
26. The number √9 is a:
a) Natural number
b) Irrational number
c) Both (a) and (b)
d) None of these
Answer: a) Natural number
27. The decimal expansion of 1/11 is:
a) 0.0909…
b) 0.111…
c) 0.1010…
d) 0.1212…
Answer: a) 0.0909…
28. The HCF of two co-prime numbers is:
a) 0
b) 1
c) Their product
d) Their sum
Answer: b) 1
29. The LCM of two prime numbers is:
a) 1
b) Their sum
c) Their product
d) Their difference
Answer: c) Their product
30. The number 0.666… is a:
a) Terminating decimal
b) Non-terminating repeating decimal
c) Non-terminating non-repeating decimal
d) None of these
Answer: b) Non-terminating repeating decimal
31. The HCF of 18 and 24 is:
a) 6
b) 8
c) 12
d) 18
Answer: a) 6
32. The LCM of 9 and 12 is:
a) 18
b) 27
c) 36
d) 54
Answer: c) 36
33. The decimal expansion of 3/7 is:
a) Terminating
b) Non-terminating repeating
c) Non-terminating non-repeating
d) None of these
Answer: b) Non-terminating repeating
34. The sum of two rational numbers is always:
a) Rational
b) Irrational
c) Either rational or irrational
d) None of these
Answer: a) Rational
35. The HCF of 15 and 25 is:
a) 5
b) 10
c) 15
d) 25
Answer: a) 5
36. The LCM of 10 and 15 is:
a) 15
b) 20
c) 30
d) 60
Answer: c) 30
37. The decimal expansion of 1/16 is:
a) 0.0625
b) 0.625
c) 0.00625
d) 0.000625
Answer: a) 0.0625
38. The number 0 is a:
a) Positive integer
b) Negative integer
c) Neither positive nor negative
d) None of these
Answer: c) Neither positive nor negative
39. The HCF of 8 and 12 is:
a) 2
b) 4
c) 6
d) 8
Answer: b) 4
40. The LCM of 6 and 8 is:
a) 12
b) 24
c) 36
d) 48
Answer: b) 24
41. The decimal expansion of 5/6 is:
a) 0.8333…
b) 0.666…
c) 0.888…
d) 0.555…
Answer: a) 0.8333…
42. The number 22/7 is a:
a) Rational number
b) Irrational number
c) Integer
d) None of these
Answer: a) Rational number
43. The HCF of 36 and 48 is:
a) 6
b) 12
c) 18
d) 24
Answer: b) 12
44. The LCM of 4 and 5 is:
a) 5
b) 10
c) 20
d) 40
Answer: c) 20
45. The decimal expansion of 2/11 is:
a) 0.1818…
b) 0.222…
c) 0.1212…
d) 0.111…
Answer: a) 0.1818…
46. The number 1.414213… is a:
a) Rational number
b) Irrational number
c) Terminating decimal
d) None of these
Answer: b) Irrational number
47. The HCF of 9 and 27 is:
a) 3
b) 9
c) 27
d) 1
Answer: b) 9
48. The LCM of 7 and 11 is:
a) 77
b) 7
c) 11
d) 1
Answer: a) 77
49. The decimal expansion of 1/7 is:
a) 0.142857…
b) 0.1666…
c) 0.125
d) 0.111…
Answer: a) 0.142857…
50. The number √2 is a:
a) Rational number
b) Irrational number
c) Integer
d) None of these
Answer: b) Irrational number
51. (CBSE 2020) The decimal expansion of the rational number 14587/1250 will terminate after:
a) 3 decimal places
b) 4 decimal places
c) 5 decimal places
d) 1 decimal place
Answer: b) 4 decimal places
52. (CBSE 2019) The HCF of the smallest composite number and the smallest prime number is:
a) 1
b) 2
c) 4
d) 0
Answer: b) 2
53. (MP Board 2021) The LCM of two numbers is 1200. Which of the following cannot be their HCF?
a) 200
b) 150
c) 600
d) 400
Answer: c) 600
54. (CBSE 2021) If p and q are co-prime numbers, then p2 and q2 are:
a) Co-prime
b) Not co-prime
c) Even
d) Odd
Answer: a) Co-prime
55. (CBSE 2022) The decimal expansion of 17/8 is:
a) 2.125
b) 2.225
c) 2.375
d) 2.625
Answer: a) 2.125
56. (CBSE 2020) The product of HCF and LCM of the smallest prime number and the smallest composite number is:
a) 2
b) 4
c) 6
d) 8
Answer: d) 8
57. (UP Board 2021) The number 0.31818181818………..is a:
a) Terminating decimal
b) Non-terminating repeating decimal
c) Non-terminating non-repeating decimal
d) None of these
Answer: b) Non-terminating repeating decimal
58. (CBSE 2019) The HCF of 96 and 404 is:
a) 4
b) 6
c) 8
d) 12
Answer: a) 4
59. (MP Board 2022) The LCM of two numbers is 14 times their HCF. If one number is 28 and the HCF is 2, then the other number is:
a) 14
b) 12
c) 10
d) 8
Answer: a) 14
60. (CBSE 2021) The decimal expansion of 1/13 is:
a) Terminating
b) Non-terminating repeating
c) Non-terminating non-repeating
d) None of these
Answer: b) Non-terminating repeating
61. (CBSE 2020) The sum of exponents of prime factors in the prime factorization of 196 is:
a) 3
b) 4
c) 5
d) 6
Answer: b) 4
62. (UP Board 2022) The HCF of two consecutive even numbers is:
a) 1
b) 2
c) 0
d) 4
Answer: b) 2
63. (CBSE 2019) If two positive integers a and b are written as a = x4y2 and b = x3 y3, where x, y are prime numbers, then HCF(a, b) is:
a) x4 y3
b) x3 y2
c) x2 y2
d) x y
Answer: b) x3 y2
64. (MP Board 2021) The LCM of 6, 72, and 120 is:
a) 240
b) 360
c) 480
d) 720
Answer: b) 360
65. (CBSE 2022) The number 5 is:
a) A rational number
b) An irrational number
c) A terminating decimal
d) An integer
Answer: b) An irrational number
66. (CBSE 2020) The decimal representation of 37/50 is:
a) 0.74
b) 0.37
c) 0.075
d) 0.037
Answer: a) 0.74
67. (UP Board 2021) The HCF of 17 and 19 is:
a) 0
b) 1
c) 17
d) 19
Answer: b) 1
68. (CBSE 2019) The LCM of two numbers is 182 and their HCF is 13. If one number is 26, then the other number is:
a) 91
b) 78
c) 52
d) 65
Answer: a) 91
69. (MP Board 2022) The decimal expansion of 3/8 is:
a) 0.375
b) 0.365
c) 0.355
d) 0.385
Answer: a) 0.375
70. (CBSE 2021) The number 0.10110111011110… is:
a) Rational
b) Irrational
c) Terminating
d) None of these
Answer: b) Irrational
71. (CBSE 2020) The HCF of 2472 and 1284 is:
a) 12
b) 24
c) 36
d) 48
Answer: a) 12
72. (UP Board 2022) The LCM of two co-prime numbers is:
a) 1
b) Their sum
c) Their product
d) Their difference
Answer: c) Their product
73. (CBSE 2019) The smallest number which when divided by 15, 20, and 25 leaves remainder 6 in each case is:
a) 306
b) 300
c) 296
d) 294
Answer: a) 306
74. (MP Board 2021) The decimal expansion of 7/10 is:
a) 0.7
b) 0.07
c) 0.007
d) 0.0007
Answer: a) 0.7
75. (CBSE 2022) The product of two irrational numbers is:
a) Always irrational
b) Always rational
c) Rational or irrational
d) None of these
Answer: c) Rational or irrational