Decode the custom symbols: If 2 & 6 % 7 = 33 and 4 & 6 % 8 = 54, evaluate 6 % 8 & 9. Assume consistent precedence for symbol “&” (concatenation) before “%” (addition) inferred from the examples.

Introduction / Context:
Symbol-decoding problems define new operations implicitly through examples. Your task is to infer what each symbol means and which operation has higher precedence. Here, we are given two evaluations and must compute a third expression using the same implicit rules.

Given Data / Assumptions:

• 2 & 6 % 7 = 33.
• 4 & 6 % 8 = 54.
• We must evaluate 6 % 8 & 9.

Concept / Approach:
A compact rule that fits both examples is: “&” means concatenation (placing digits together to form a numeral) and “%” means addition. To make the first two identities hold simultaneously, “&” must be evaluated before “%”.

Step-by-Step Solution:
Check the rule on the exemplars with precedence “&” before “%”:2 & 6 % 7 ⇒ (2&6) % 7 ⇒ 26 + 7 = 33 ✅4 & 6 % 8 ⇒ (4&6) % 8 ⇒ 46 + 8 = 54 ✅Now apply to the query 6 % 8 & 9: evaluate “&” first in the right term.8 & 9 = 89; then 6 % (89) = 6 + 89 = 95.

Verification / Alternative check:
If one incorrectly gives “%” higher precedence (i.e., 6 + 8 = 14, then 14 & 9 = 149), the result 149 is not among the options, confirming the intended precedence.

Why Other Options Are Wrong:
77 and 99 arise from mis-applied order (e.g., partial concatenation or treating “%” differently), while “None of these” is false because 95 is attainable and listed.

Common Pitfalls:

• Concatenating after addition instead of before (leading to a multi-digit result that is not offered).
• Treating “&” as multiplication or another arithmetic operator rather than stringing digits together.

Final Answer:
95.