class 10 mathematics exercise 1.1 All question by Sumit sir ag classes #cbseclass10

Exercise 1.2 Questions: 1. Find the LCM and HCF of the following pairs of integers and verify that: LCM × HCF = Product of the two numbers (i) 12 and 15 (ii) 17 and 23 (iii) 8 and 28 2. Find the HCF of 336 and 54 using the prime factorization method. 3. Find the LCM and HCF of 6, 72, and 120 using the prime factorization method. 4. Given that HCF (306, 657) = 9, find LCM (306, 657). 5. Check whether 6^n can end with the digit 0 for any natural number n. 6. Explain why 7 × 11 × 13 + 13 is a composite number. 7. Explain why (5 × 7 × 11) + (7 × 6) + 5 is a composite number. 8. There is a circular path around a sports field. Priya takes 18 minutes to complete one round, while Ravi takes 12 minutes for the same. If they both start together at the same point and walk in the same direction, after how many minutes will they meet at the starting point again? Here are the Exercise 1.1 questions from Class 10 NCERT Mathematics (Real Numbers): 1. Use Euclid’s division algorithm to find the HCF of: (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 2. Show that any positive odd integer is of the form 6q + 1, 6q + 3, or 6q + 5, where q is some integer. 3. An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march? 4. Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m. 5. Use Euclid’s division algorithm to find the HCF of 455 and 42. Let me know if you need solutions as well!