Operator remapping — If “+” means “−”, “−” means “×”, “÷” means “+”, and “×” means “÷”, 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:In “mathematical-operations” puzzles, the symbols are reassigned to different operations. Replace each symbol first, then evaluate using normal precedence (× and ÷ before + and −).
Given Data / Assumptions:
- ‘+’ → ‘−’
- ‘−’ → ‘×’
- ‘÷’ → ‘+’
- ‘×’ → ‘÷’
Concept / Approach:Rewrite the expression with its real operations and then compute carefully.
Step-by-Step Solution:
Original: 10 × 5 ÷ 3 − 2 + 3After remap: 10 ÷ 5 + 3 × 2 − 3Precedence: 10 ÷ 5 = 2; 3 × 2 = 6Now: 2 + 6 − 3 = 5Verification / Alternative check:Compute left-to-right while still honoring precedence and you reach the same result.
Why Other Options Are Wrong:
- Values like 53/3 or 36 come from misapplied precedence or an incorrect mapping.
Common Pitfalls:
- Changing precedence to match the original symbols. Precedence follows the real operations after mapping.
Final Answer:5