Operator substitution — If “+” means minus, “−” means multiply, “÷” means plus, and “×” means divide, evaluate: 10 × 5 ÷ 3 − 2 + 3
Verbal Reasoning
Mathematical Operations
Difficulty: Medium
Choose an option
-
A5
-
B53/3
-
C21
-
D36
Answer
Correct Answer: 5
Explanation
Introduction / Context:This is a symbol-redefinition puzzle. Each symbol is reassigned to a different arithmetic operation. After replacing symbols, evaluate respecting normal precedence (× and ÷ before + and −) unless brackets dictate otherwise.
Given Data / Assumptions:
- “+” → minus (−)
- “−” → multiply (×)
- “÷” → plus (+)
- “×” → divide (÷)
Concept / Approach:Rewrite the expression with the true operations, then compute with standard precedence.
Step-by-Step Solution:
Original: 10 × 5 ÷ 3 − 2 + 3Swap: 10 ÷ 5 + 3 × 2 − 3Compute ×/÷ first: 10 ÷ 5 = 2; 3 × 2 = 6.Then +/−: 2 + 6 − 3 = 5.Verification / Alternative check:Evaluate left-to-right but still honoring precedence: same result 5.
Why Other Options Are Wrong:
- 53/3, 21, 36 arise from misapplying precedence or incorrect replacements.
Common Pitfalls:
- Treating the redefined symbols with altered precedence; precedence stays the same as the actual operation.
Final Answer:5