Operator remapping — If “+” means “−”, “−” means “×”, “÷” means “+”, and “×” means “÷”, evaluate: 10 × 5 ÷ 3 − 2 + 3

Difficulty: Medium

Correct Answer: 5

Explanation:


Introduction / Context:
In “mathematical-operations” puzzles, the symbols are reassigned to different operations. Replace each symbol first, then evaluate using normal precedence (× and ÷ before + and −).


Given Data / Assumptions:

  • ‘+’ → ‘−’
  • ‘−’ → ‘×’
  • ‘÷’ → ‘+’
  • ‘×’ → ‘÷’


Concept / Approach:
Rewrite the expression with its real operations and then compute carefully.


Step-by-Step Solution:

Original: 10 × 5 ÷ 3 − 2 + 3After remap: 10 ÷ 5 + 3 × 2 − 3Precedence: 10 ÷ 5 = 2; 3 × 2 = 6Now: 2 + 6 − 3 = 5


Verification / Alternative check:
Compute left-to-right while still honoring precedence and you reach the same result.


Why Other Options Are Wrong:

  • Values like 53/3 or 36 come from misapplied precedence or an incorrect mapping.


Common Pitfalls:

  • Changing precedence to match the original symbols. Precedence follows the real operations after mapping.


Final Answer:
5

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