Symbol swap — If ‘‘−’’ means ‘‘÷’’, ‘‘+’’ means ‘‘−’’, ‘‘÷’’ means ‘‘×’’, and ‘‘×’’ means ‘‘+’’, which equation becomes correct?

Difficulty: Easy

Correct Answer: 70 - 2 + 4 ÷ 5 x 6 = 21

Explanation:

Introduction / Context:Each printed operator must be replaced by the designated real operator, after which we check which equality holds.

Given Data / Assumptions:

  • Mapping: “−”→“÷”, “+”→“−”, “÷”→“×”, “×”→“+”.
  • Standard arithmetic precedence applies.

Concept / Approach:Translate the left-hand side (LHS) using the mapping and evaluate; compare with the right-hand side (RHS) constant.

Step-by-Step Solution:LHS after mapping: 70 ÷ 2 − 4 × 5 + 6.Compute: 70 ÷ 2 = 35; 4 × 5 = 20; so LHS = 35 − 20 + 6 = 21.Hence the equality “= 21” is correct (Option B).

Verification / Alternative check:Evaluating other RHS values (44, 96, 341) does not match the computed LHS 21.

Why Other Options Are Wrong:They assert incorrect RHS values for the correctly decoded LHS.

Common Pitfalls:Replacing symbols but forgetting to keep normal precedence (× and ÷ before + and −).

Final Answer:Option B is correct.

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