UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

Learn more
1. A positive integer is of the form \(3q + 1\), \(q\) being a natural number. Can you write its square in any form other than \(3m + 1\), i.e., \(3m\) or \(3m + 2\) for some integer \(m\)? Justify your answer.
 
2. Can two numbers have \(18\) as their HCF and \(380\) as their LCM? Give reasons.
 
3. Explain why \(3 \times 5 \times 7 + 7\) is a composite number.
 
Important!
This is a creative task. Your teacher will check it manually.