If “+” means “÷”, “−” means “+”, “×” means “−” and “÷” means “×”, evaluate: 24 ÷ 12 − 18 + 9
Verbal Reasoning
Mathematical Operations
Difficulty: Easy
Choose an option
-
A-25
-
B0.72
-
C15.30
-
D290
Answer
Correct Answer: 290
Explanation
Introduction / Context:We replace each printed operator with its new meaning and then evaluate with standard precedence.
Given Data / Assumptions:
- Mappings: “+”→“÷”, “−”→“+”, “×”→“−”, “÷”→“×”.
- Expression: 24 ÷ 12 − 18 + 9.
Concept / Approach:First rewrite the expression with the true operations, then compute using precedence.
Step-by-Step Solution:24 ÷ 12 becomes 24 × 12 (since ÷→×).“− 18” becomes “+ 18”. “+ 9” becomes “÷ 9”.So value = 24 × 12 + 18 ÷ 9 = 288 + 2 = 290.
Verification / Alternative check:Checking each option shows only 290 matches the evaluated result.
Why Other Options Are Wrong:They correspond to arithmetic done before remapping or with wrong precedence.
Common Pitfalls:Treating the printed operators literally instead of applying the mapping.
Final Answer:290.