Class X Math- Real Numbers - Set 3

Class X Math - Real Numbers (Set 3)

Class X Mathematics – Chapter 1: Real Numbers (Set 3)

1. HCF of two consecutive even numbers is:
A. 1
B. 2
C. 4
D. It varies
Answer: B. 2
Explanation: Consecutive even numbers differ by 2, and their common factor is 2.
2. The number √49 is:
A. Rational
B. Irrational
C. Prime
D. Composite
Answer: A. Rational
Explanation: √49 = 7, a rational and prime number.
3. Which of the following pairs are co-prime?
A. (14, 21)
B. (8, 9)
C. (15, 25)
D. (6, 12)
Answer: B. (8, 9)
Explanation: Co-prime numbers have no common factor other than 1.
4. Every rational number is:
A. A natural number
B. An integer
C. A real number
D. An irrational number
Answer: C. A real number
Explanation: Rational numbers are part of the real number system.
5. If x is irrational and y is rational, then x + y is:
A. Always rational
B. Always irrational
C. Sometimes rational
D. Cannot be determined
Answer: B. Always irrational
Explanation: Sum of irrational and rational (except for special cases) is irrational.
6. The product of two irrational numbers is:
A. Always irrational
B. Always rational
C. Sometimes irrational, sometimes rational
D. Cannot say
Answer: C. Sometimes irrational, sometimes rational
Explanation: √2 × √2 = 2 (rational), but √2 × √3 = irrational.
7. The HCF of two numbers is 1 and their product is 306. Their LCM is:
A. 306
B. 153
C. 1
D. Cannot be found
Answer: A. 306
Explanation: HCF × LCM = Product of numbers → 1 × LCM = 306
8. The decimal expansion of 17/8 is:
A. Terminating
B. Non-terminating
C. Non-repeating
D. Irrational
Answer: A. Terminating
Explanation: 17/8 = 2.125, a terminating decimal.
9. The smallest prime number is:
A. 1
B. 2
C. 3
D. 5
Answer: B. 2
Explanation: 2 is the smallest and the only even prime number.
10. LCM of 15 and 20 is:
A. 5
B. 30
C. 60
D. 75
Answer: C. 60
Explanation: LCM(15, 20) = 60 using prime factorization.

🎯 Achieve NEET Success with Mentorship from Top Achievers!

  • ✅ 1-on-1 Online Mentorship with NEET Toppers
  • ✅ Personalized Study Plans & Doubt Solving on WhatsApp
  • ✅ Weekly Support Calls & Full Syllabus Coverage
  • ✅ Affordable Plans from ₹1,000 Only

🎓 Limited Seats Available – Start Your Journey Today!

🚀 Buy a Course Now

Comments

Post a Comment

Popular posts from this blog

Assamese Literature Quiz

🧠 Assamese Literature Quiz – Set 1 1. Who is known as the Father of Assamese prose? A. Hema Saraswati B. Bhattadeva C. Madhav Kandali D. Lakshminath Bezbaroa ✔️ Answer: B. Bhattadeva Explanation: Bhattadeva is credited with pioneering prose writing in Assamese. 2. Who translated the Ramayana into Assamese for the first time? A. Bhattadeva B. Sankardev C. Madhav Kandali D. Ananta Kandali ✔️ Answer: C. Madhav Kandali Explanation: Madhav Kandali translated the Ramayana during the 14th century. 3. Who is the author of "Kirtan Ghoxa"? A. Sankardev B. Madhav Kandali C. Bhattadeva D. Ananta Kandali ✔️ Answer: A. Sankardev Explanation: Sankardev composed "Kirtan Ghoxa," a religious scripture. 4. The first Assamese printed book is: A. Kirtan Ghoxa B. Dharmapustak C. Axom Buranji D. Asomiya Abhidhan ✔️ Answer: B. Dharmapustak Explanation: "Dharmapustak" was the first printed book in Assamese (Bible portions, 1813). 5. Who is known as the "Sahityarathi" of...
Read more

Class X Math- Real Numbers- Set 5

Class X Math - Real Numbers (Set 5) Class X Mathematics – Chapter 1: Real Numbers (Set 5) 1. The value of 2⁴ × 2³ is: A. 128 B. 16 C. 64 D. 256 Show Answer Answer: A. 128 Explanation: 2⁴ × 2³ = 2⁷ = 128 2. Which of the following cannot be the HCF of two numbers? A. 1 B. 2 C. 4 D. 9 Show Answer Answer: D. 9 Explanation: HCF must divide both numbers. If no pair of integers have 9 as a common factor, it can't be their HCF. 3. If p is a prime number, then √p is: A. Rational B. Integer C. Irrational D. Whole number Show Answer Answer: C. Irrational Explanation: The square root of any prime number is irrational. 4. The product of HCF and LCM of two numbers is equal to: A. Their sum B. The larger number C. Their product D. None Show Answer Answer: C. Their product ...
Read more

Class X Math- Real Numbers- Set 4

Class X Math - Real Numbers (Set 4) Class X Mathematics – Chapter 1: Real Numbers (Set 4) 1. Which of the following numbers is both rational and integer? A. √3 B. 2 C. Ï€ D. 3/2 Show Answer Answer: B. 2 Explanation: 2 is an integer and also a rational number (can be written as 2/1). 2. The prime factorization of 36 is: A. 2 × 2 × 3 B. 2 × 3 × 3 C. 2² × 3² D. 3 × 3 × 3 Show Answer Answer: C. 2² × 3² Explanation: 36 = 2 × 2 × 3 × 3 = 2² × 3². 3. Which of the following is the HCF of 18 and 24? A. 6 B. 12 C. 24 D. 36 Show Answer Answer: A. 6 Explanation: 6 is the highest number that divides both 18 and 24. 4. If two numbers are co-prime, then their HCF is: A. 0 B. 1 C. Product of numbers D. LCM of numbers Show Answer Answer: B. 1 Explanation: Co-prime numbers have no...
Read more