Symbol remapping — If “+” denotes “÷”, “−” denotes “×”, “×” denotes “−”, and “÷” denotes “+”, evaluate: 35 + 7 − 5 ÷ 5 × 6

Difficulty: Medium

Correct Answer: 24

Explanation:

Introduction / Context:When operators are redefined, first translate each symbol to its true operation, then evaluate with normal precedence (× and ÷ first, then + and −).

Given Data / Assumptions:

  • “+” → “÷”
  • “−” → “×”
  • “×” → “−”
  • “÷” → “+”

Concept / Approach:Replace meticulously, then compute stepwise.

Step-by-Step Solution:

Expression becomes: 35 ÷ 7 × 5 + 5 − 6Compute ×/÷: 35 ÷ 7 = 5; 5 × 5 = 25Then: 25 + 5 − 6 = 24

Verification / Alternative check:Regrouping gives the same result: (35 ÷ 7) × 5 + 5 − 6 = 24.

Why Other Options Are Wrong:They arise from mixing up the mapping or ignoring precedence.

Common Pitfalls:

  • Treating the remapped symbols as if their precedence changed; precedence follows the actual operation after mapping.

Final Answer:24

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