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

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion