Difficulty: Easy
Correct Answer: 211
Explanation:
Introduction / Context:
We translate each printed symbol to its assigned arithmetic meaning and then evaluate with normal precedence. Here, both “−” and “÷” are mapped to “+”, which is unusual but valid in coded-operator puzzles.
Given Data / Assumptions:
Concept / Approach:
Fully translate first; then compute, respecting precedence. Because + is lower precedence than × or ÷, carry out any × first (none remain after mapping) and then sum/subtract.
Step-by-Step Solution:
Translate → 162 − 52 + 26 + 15 × 5
Compute × first: 15 × 5 = 75
Now linear ops: 162 − 52 = 110; 110 + 26 = 136; 136 + 75 = 211
Verification / Alternative check:
Parenthesized: ((162 − 52) + 26) + (15 × 5) = (110 + 26) + 75 = 136 + 75 = 211.
Why Other Options Are Wrong:
247, 235, 215, 875 stem from misreading at least one mapping (e.g., keeping ÷ as division) or from ignoring precedence by adding 15 before multiplying by 5.
Common Pitfalls:
Half-translating (changing some but not all symbols) and executing operations in the printed order without precedence.
Final Answer:
211
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