Without actually performing the long division, find if will have terminating or non-terminating (repeating) decimal expansion. Give reasons for your answer.

Explain why 3 × 5 × 7 + 7 is a composite number.

Thinking Process

A number which has more than two factors is known as a composite number.

Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

A rational number in its decimal expansion is 327. 7081. What can you say about the prime factors of q, when this number is expressed in the formGive reasons.

Show that the square of any positive integer is either of the form 4q or 4q + 1 for some integer q.