Question

27. Which pairs of numbers are relatively prime?a. 24 and 36b. 19 and 21d. 198 and 423e. 243 and 343c. 35 and 49

Answer 1

Step-by-step explanation:

Concept:

Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Hence,

From the pair below

`\begin{gathered} 19=prime\text{ number} \\ 21=3*7 \\ hence,no\text{ shared factors} \\ they\text{ are coprime} \end{gathered}`
`\begin{gathered} 243=3*3*3*3*3 \\ 343=7*7*7 \\ Hence, \\ they\text{ have no shared factors} \\ They\text{ are relatively prime} \end{gathered}`

Hence,

The final answers are OPTION B and OPTION D