Real Numbers (10 Maths)
Real numbers include all rational and irrational numbers, and understanding their properties is essential for higher mathematics. This chapter covers the E
TL;DR: Real numbers include all rational and irrational numbers, and understanding their properties is essential for higher mathematics. This chapter covers…
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
Real numbers include all rational and irrational numbers, and understanding their properties is essential for higher mathematics. This chapter covers the E
Real Numbers MCQs with Answers & Explanations
Q1. The HCF of two numbers is 12 and their LCM is 180. If one number is 36, what is the other?
- 60 ✓ (correct)
- 72
- 84
- 96
Q2. Which of the following is an irrational number?
- 0.375
- 0.5
- sqrt(2) ✓ (correct)
- 2.4
Q3. The decimal expansion of a rational number is:
- Non-terminating and non-repeating
- Terminating or non-terminating repeating ✓ (correct)
- Always non-terminating
- Always terminating
Q4. If a = 2^3 x 3^2 x 5 and b = 2^2 x 3 x 5^2, then LCM(a,b) is:
- 2^3 x 3^2 x 5
- 2^2 x 3 x 5
- 2^3 x 3^2 x 5^2 ✓ (correct)
- 2^2 x 3^2 x 5^2
Q5. Euclid's division lemma states that for integers a and b, a = bq + r where:
- r >= b
- r < 0
- 0 <= r < b ✓ (correct)
- r >= 0
Q6. The sum of two rational numbers is always:
- Irrational
- Rational ✓ (correct)
- Neither rational nor irrational
- Sometimes rational
Q7. sqrt(2) + sqrt(3) is:
- Rational
- Irrational ✓ (correct)
- Neither
- Can be rational or irrational
Q8. If p and q are primes and p divides q, then:
- p = q ✓ (correct)
- p > q
- p < q
- p divides q
Q9. The HCF of 36 and 48 is:
- 12
- 24 ✓ (correct)
- 6
- 36
Q10. The product of a non-zero rational and an irrational number is:
- Rational
- Irrational ✓ (correct)
- Neither
- Zero
Frequently Asked Questions
What is the difference between rational and irrational numbers?
Rational numbers can be expressed as a ratio of two integers, while irrational numbers cannot be expressed in this form.
How is Euclid's algorithm used to find the HCF of two numbers?
Euclid's algorithm repeatedly applies division lemma until the remainder becomes zero, with the last non-zero remainder being the HCF.
More 10 Maths MCQs
🤖 Stuck on any of these? Ask Syllab's free AI Tutor to explain step by step →