Question

The solution of $8x\equiv 6(\mathrm{mod}14)$ is

• A. $[8],[6]$
• B. $[6],[14]$
• C. $[6],[13]$
• D. $[8],[14],[16]$

Answer 1

Answer: (C)

Since $8x\equiv 6($ mod 14$)$ i.e, $8x-6=14k$ for $k\in I$.
The values $6$ and $13$ satisfy this equation, while $8,14$, and $16$ do not.