Standard +0.3 This is a straightforward modular arithmetic problem requiring students to substitute a=2 into the given formula, solve 3(2)(5+x) ≡ 6 (mod 8), which simplifies to 6(5+x) ≡ 6 (mod 8), then test the given options. It's slightly easier than average as it's a 1-mark multiple choice question with only algebraic manipulation and testing required, though the modular arithmetic context adds minor complexity.
2 The binary operation ⊗ is given by
\(a \otimes b = 3 a ( 5 + b ) ( \bmod 8 )\)
where \(a , b \in \mathbb { Z }\)
Given that \(2 \otimes x = 6\), which of the integers below is a possible value of \(x\) ?
Circle your answer. [0pt]
[1 mark]
0123
2 The binary operation ⊗ is given by\\
$a \otimes b = 3 a ( 5 + b ) ( \bmod 8 )$\\
where $a , b \in \mathbb { Z }$\\
Given that $2 \otimes x = 6$, which of the integers below is a possible value of $x$ ?\\
Circle your answer.\\[0pt]
[1 mark]\\
0123
\hfill \mbox{\textit{AQA Further AS Paper 2 Discrete 2018 Q2 [1]}}