Number System & Simplification

A number is defined by the pattern: 3, 5, 7, 9, 11,…

A number is defined by the pattern: 3, 5, 7, 9, 11, … . If the nth term is given by an = 2n + 1, what is the 10th term in this sequence?

For any two positive integers, the product of the numbers is equal to the product of their

In the context of Number System, which of the following statements about the properties of ‘Odd Numbers’ is correct?

If the HCF of 60 and 24 is 12, what is the LCM of 60 and 24?

A number is a perfect square if the powers of all its prime factors are odd. Which of the following numbers is NOT a perfect square?

For three numbers with a known HCF of 8, if their LCM is 420, what is the product of the three numbers?

For three numbers 12, 18, and 24, if their HCF is 6, what is the LCM of these numbers?

For two positive integers, if their HCF is 1 and LCM is 12, what is the product of the two numbers?