Symbol Coding — Fundamental Concepts

Fundamental Concepts

Decode before calculating

Suppose a hypothetical code defines @ as addition, # as subtraction and $as multiplication. The expression 8 @ 3$ 4 translates into 8 + 3 × 4. Under ordinary precedence it equals 20, not 44. Translation changes the operations; it does not silently replace the usual order of operations with a left-to-right rule.

Keep relation direction

If P ★ Q means 'P is the parent of Q', reversing the expression changes the assertion. It does not mean that Q is P's parent. If a second symbol means 'is the sister of', it also supplies gender information about its first argument. A parent relation by itself does not establish the parent's gender.

For comparisons, translate each link into a familiar inequality. From A > B and B ≥ C, A > C follows. From A > B and C > B, the ordering of A and C remains unknown. Both exceed B, but either could be larger than the other.

Respect the supplied convention

Read whether brackets retain their normal role and whether the question explicitly specifies left-to-right evaluation. Do not invent a convention from an attractive answer option. Where the rules permit several values or family structures, test more than one. The task is to derive what the code entails, not to guess a hidden rule from too few examples.