Custom operators — If S = “−”, Q = “×”, R = “÷”, and P = “+”, evaluate 1 P 45 R 2 Q 2 S 4

Difficulty: Medium

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

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