CBSE-CLASSX-BOARD-IMPORTANT-QUESTIONS-CHAPTERWISE
CLASS X BOARD EXAM MATHEMATICS IMPORTANT QUESTIONS CHAPTE 1-3 CHAPTER 1- REAL NUMBERS Short Questions 1. Explain the Euclid division lemma. 2 . Find the HCF of 135 and 225 using the Euclid division lemma. 3 . Find the HCF of 12, 15, and 21 Long Questions 1. Show that any positive odd integer is of the form 6q + 1, 6q + 3, or 6q + 5. 2 . Show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m +8 3. Prove that 3 + 2√5 is an irrational number. 4. Prove that 1/ √ 2 is irrational. 5. The greatest number that can divide the number 70 and 125, leaving the remainder 5 and 8, is i) 13 ii)65 iii) 875 iv) 1750 9 . Is the square root of 0.4 an irrational or rational number? 10. The LCM of the prime numbers p & q (p>q) is 221. Then what is the value of 3p-q? Solution: Since, p and q are prime numbers, then their LCM = Product of the numbers Factor...