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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 ...

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. π 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...

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 Show Answer 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 Show Answer 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) Show Answer 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 Show Answer Answer: C. A real number Explanation: Rational nu...

Class X Math - Real Numbers (Set 2) Class X Mathematics – Chapter 1: Real Numbers (Set 2) 1. Which of the following is a rational number? A. π B. √3 C. 7/8 D. √5 Show Answer Answer: C. 7/8 Explanation: A rational number can be written as p/q, where q ≠ 0. 7/8 satisfies this. 2. If the HCF of 18 and 48 is 6, what is their LCM? A. 144 B. 36 C. 72 D. 48 Show Answer Answer: C. 144 Explanation: LCM × HCF = Product of numbers → LCM = (18×48)/6 = 144 3. 0.142857142857… is: A. Irrational B. Non-terminating repeating C. Terminating D. Finite Show Answer Answer: B. Non-terminating repeating Explanation: It has a repeating block and continues infinitely. 4. The number √121 is: A. Rational B. Irrational C. Prime D. None of these Show Answer Answer: A. Rational Explanation: ...

  Class X Math - Real Numbers (Set 1) Class X Mathematics – Chapter 1: Real Numbers (Set 1) 1. The HCF of 60 and 72 is: A. 6 B. 12 C. 18 D. 24 Show Answer Answer: B. 12 Explanation: 12 is the highest number that divides both 60 and 72. 2. Euclid’s Division Lemma is used to find: A. Prime numbers B. LCM C. HCF D. Composite numbers Show Answer Answer: C. HCF Explanation: Euclid’s Division Lemma is used repeatedly to compute HCF. 3. The decimal expansion of 1/3 is: A. Terminating B. Repeating C. Non-repeating D. Finite Show Answer Answer: B. Repeating Explanation: 1/3 = 0.333... which repeats forever. 4. Which of the following is an irrational number? A. 22/7 B. 3.1416 C. √2 D. 0.25 Show Answer Answer: C. √2 Explanation: √2 cannot be expressed as a ratio of tw...

Geography History Culture Demographics Politics Economy Biodiversity --- ✅ Assam Quiz – 50 MCQs with Answers and Explanations 🌍 Section 1: Geography of Assam 1. Which river flows through the state of Assam? A) Ganga B) Yamuna C) Brahmaputra ✅ D) Teesta Explanation: The Brahmaputra River is the main river flowing through Assam, playing a vital role in its ecosystem and economy. 2. What is the capital of Assam? A) Guwahati B) Dispur ✅ C) Jorhat D) Dibrugarh Explanation: Dispur, a suburb of Guwahati, is the official capital of Assam. 3. Which is the largest river island in Assam? A) Umananda B) Majuli ✅ C) Srirangam D) Bhavani Explanation: Majuli is the world’s largest river island, located in the Brahmaputra River. 4. What is the total number of districts in Assam (as of 2024)? A) 23 B) 28 C) 35 D) 31 ✅ Explanation: Assam currently has 31 districts after recent administrative changes. 5. Which neighboring country shares its border with Assam? A) Nepal B) Bhutan ✅ C) Bangladesh D) Myanma...