*Real Numbers*
1. Use euclid's division algorithm to find HCF of 3318 and 4661.
2. Find the HCF of the smallest composite number and the smallest prime number.
3. Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5 where q is some integer.
4. Three alarm clock ring at intervals of 6,9 and 15 minutes respectively. if they start ringing together after what time will they next ring together?
5. Explain whether (3×5×13×46)+23 is prime or composite number.
6. Check whether 15^n can end with zero.
7. The LCM of two numbers is 182 and their HCF is 13. if one of the number is 26 find the other.
8. Prove that √3 is an irrational number and also prove that 2 + 5√ 3 is an irrational number.
9. Write the denominator of rational number 257/5000 is of the form of 2^m×5^n, where m ,n are non-negative integers. Then write its decimal expansion without actual division.
10. The decimal expansion of 7/125 will terminate after how many places of decimal?
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not knowing the answer hope you understand actually it's too long and brief
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