Symbol remapping — If “+” denotes “÷”, “−” denotes “×”, “×” denotes “−”, and “÷” denotes “+”, evaluate: 35 + 7 − 5 ÷ 5 × 6
Verbal Reasoning
Mathematical Operations
Difficulty: Medium
Choose an option
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A36
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B24
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C20
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D14
Answer
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 = 24Verification / 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