Operator remapping — If “+” means “÷”, “−” means “×”, “×” means “+”, and “÷” means “−”, evaluate: 90 + 18 − 6 × 30 ÷ 4
Verbal Reasoning
Mathematical Operations
Difficulty: Medium
Choose an option
-
A64
-
B65
-
C56
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D48
Answer
Correct Answer: 56
Explanation
Introduction / Context:Translate each symbol to its true operation, then compute with standard precedence rules. Carefully track each mapping to avoid mistakes.
Given Data / Assumptions:
- “+” → “÷”
- “−” → “×”
- “×” → “+”
- “÷” → “−”
Concept / Approach:Replace first, then evaluate ×/÷ (i.e., the real operations after mapping), finally do +/−.
Step-by-Step Solution:
Expression becomes: 90 ÷ 18 × 6 + 30 − 4Compute: 90 ÷ 18 = 5; 5 × 6 = 30Then: 30 + 30 − 4 = 56Verification / Alternative check:Regrouping as (90 ÷ 18) × 6 + (30 − 4) = 30 + 26 = 56 confirms the result.
Why Other Options Are Wrong:They come from wrong replacements or ignoring precedence.
Common Pitfalls:
- Accidentally treating the original symbols’ positions as changing precedence. They do not.
Final Answer:56