Decode operator meanings and evaluate (note two signs both map to “+”): Mapping: “+” means “×”, “−” means “+”, “÷” means “+”, “x” means “−”. Evaluate: 162 x 52 - 26 ÷ 15 + 5

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:

  • Mapping: +→×, −→+, ÷→+, x→−
  • Expression: 162 x 52 − 26 ÷ 15 + 5
  • Precedence: ×, ÷ before +, −; ties resolved left-to-right.

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

More Questions from Mathematical Operations

Discussion & Comments

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