Class 10 Maths - Real Numbers MCQs

 

Class 10 Maths – Real Numbers MCQs

Class 10 Maths – Chapter 1: Real Numbers
50 Important MCQs

1. Euclid’s Division Lemma is applicable to:
Answer: C
It applies to positive integers only.
2. HCF of 135 and 225 is:
Answer: C
Using Euclid’s Algorithm, HCF = 45.
3. Which number has terminating decimal expansion?
Answer: C
8 = 2³, only factor 2.
4. Prime factorization of 72 is:
Answer: B
72 = 2×2×2×3×3.
5. HCF × LCM of two numbers equals:
Answer: C
HCF × LCM = Product.
6. Which is a composite number?
Answer: D
9 = 3 × 3.
7. Fundamental Theorem of Arithmetic deals with:
Answer: B
Every number has unique prime factors.
8. Decimal expansion of 13/125 is:
Answer: B
125 = 5³.
9. HCF of two prime numbers is:
Answer: B
Only common factor is 1.
10. Which of the following is irrational?
Answer: C
√2 is irrational.
11. HCF of 20 and 28 is:
Answer: B
Common factors: 1,2,4 → HCF = 4.
12. LCM of 12 and 15 is:
Answer: C
LCM = 2² × 3 × 5 = 60.
13. Which number is NOT a prime?
Answer: D
1 is neither prime nor composite.
14. Decimal expansion of 7/16 is:
Answer: B
16 = 2⁴.
15. If HCF = 12 and LCM = 180, product of numbers is:
Answer: A
12 × 180 = 2160.
16. Prime factorization of 90 is:
Answer: B
90 = 2 × 3² × 5.
17. Which has non-terminating recurring decimal?
Answer: C
12 contains factor 3.
18. HCF of two consecutive numbers is:
Answer: B
Only common factor is 1.
19. Which is a rational number?
Answer: C
0.25 = 1/4.
20. Euclid’s Division Algorithm is used to find:
Answer: C
It finds HCF.
21. Which number is divisible by both 2 and 5?
Answer: B
20 ends with 0.
22. LCM of two prime numbers is:
Answer: C
Primes have no common factors.
23. Decimal expansion of 3/40 is:
Answer: B
40 = 2³ × 5.
24. Which number is composite?
Answer: D
21 = 3 × 7.
25. HCF of 36 and 54 is:
Answer: C
Common highest factor is 18.
26. Which of the following is an irrational number?
Answer: C
√7 is irrational.
27. Product of HCF and LCM of 8 and 12 is:
Answer: C
HCF=4, LCM=24 → 96.
28. Which fraction gives terminating decimal?
Answer: B
16 = 2⁴.
29. 6ⁿ cannot end with 0 because:
Answer: C
Factor 5 is missing.
30. Which is the smallest prime number?
Answer: C
2 is the smallest prime.
31. Which number has only one prime factor?
Answer: B
8 = 2³, only one prime factor.
32. HCF of 45 and 75 is:
Answer: C
Common highest factor is 15.
33. Which of the following fractions is non-terminating recurring?
Answer: D
15 has factor 3.
34. LCM of 18 and 24 is:
Answer: C
LCM = 2³ × 3² = 72.
35. Which number is divisible by 9?
Answer: A
Sum of digits = 6, divisible by 3 and 9 rule applies.
36. Prime factorization of 150 is:
Answer: B
150 = 2 × 3 × 5².
37. Which is NOT a rational number?
Answer: C
√5 is irrational.
38. HCF of 17 and 19 is:
Answer: C
Both are prime numbers.
39. Decimal expansion of 11/125 is:
Answer: B
125 = 5³.
40. Which of the following is a composite number?
Answer: D
39 = 3 × 13.
41. HCF of 81 and 27 is:
Answer: C
27 divides both numbers.
42. Which fraction gives a terminating decimal?
Answer: C
25 = 5².
43. Product of two consecutive even numbers is always:
Answer: C
Product has more than two factors.
44. Which number is divisible by both 3 and 5?
Answer: D
30 and 45 are divisible by 3 and 5.
45. Which is the greatest 2-digit prime number?
Answer: A
97 is prime and the largest 2-digit one.
46. LCM of 7 and 9 is:
Answer: B
7 × 9 = 63.
47. Which is an even prime number?
Answer: C
2 is the only even prime.
48. Decimal expansion of 9/20 is:
Answer: C
20 = 2² × 5.
49. Which number is NOT divisible by 3?
Answer: D
Sum of digits = 10.
50. Fundamental Theorem of Arithmetic states that prime factorization is:
Answer: C
Every number has a unique prime factorization.

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