Difficulty: Medium
Correct Answer: 4
Explanation:
Introduction / Context:
In remapping problems, each printed symbol represents a different arithmetic operation. You must translate the expression according to the mapping and then evaluate with standard precedence.
Given Data / Assumptions:
Concept / Approach:
Translate each symbol to its true meaning, then compute systematically.
Step-by-Step Solution:
Translate: “×” → “+”, “+” → “÷”, “−” → “×”, “÷” → “−”.Expression becomes: 40 + 12 ÷ 3 × 6 − 60.Precedence: 12 ÷ 3 = 4; 4 × 6 = 24.Now add/subtract: 40 + 24 − 60 = 64 − 60 = 4.
Verification / Alternative check:
Recomputing left-to-right without precedence would not yield 4, highlighting the necessity of observing ×/÷ precedence.
Why Other Options Are Wrong:
44 and 16 typically arise from skipping one of the remaps or mis-ordering operations; 7.95 is a non-integer result from treating a division earlier than multiplication incorrectly.
Common Pitfalls:
Final Answer:
4.
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