Custom operators — If S = “−”, Q = “×”, R = “÷”, and P = “+”, evaluate 1 P 45 R 2 Q 2 S 4
Verbal Reasoning
Mathematical Operations
Difficulty: Medium
Choose an option
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A40
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B42
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C36
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D46
Answer
Correct Answer: 42
Explanation
Introduction / Context:Again, symbols are remapped to standard operations. Compute with normal precedence after replacement.
Given Data / Assumptions:
- P → +, R → ÷, Q → ×, S → −.
- Expression: 1 + 45 ÷ 2 × 2 − 4.
Concept / Approach:Evaluate division and multiplication first, then addition and subtraction.
Step-by-Step Solution:
1) 45 ÷ 2 = 22.5.2) 22.5 × 2 = 45.3) 1 + 45 − 4 = 42.Verification / Alternative check:Re-group as (1 + (45 ÷ 2 × 2)) − 4; same result 42.
Why Other Options Are Wrong:
- 40/36/46 arise from left-to-right evaluation ignoring precedence or swapping a mapping.
Common Pitfalls:
- Changing the precedence based on the original letters; precedence follows the real operation after mapping.
Final Answer:42