Difficulty: Easy
Correct Answer: 11
Explanation:
Introduction / Context:
This problem tests symbolic substitution and correct use of operator precedence (BODMAS/PEMDAS). We replace the given letters with their intended arithmetic operators and then evaluate with standard precedence rules.
Given Data / Assumptions:
Concept / Approach:
First perform division and multiplication, then handle addition/subtraction. Parentheses are not present, so no grouping overrides the default precedence.
Step-by-Step Solution:
Verification / Alternative check:
Reordering incorrectly (left-to-right without precedence) would give a wrong value; a quick calculator check with the same precedence confirms 11.
Why Other Options Are Wrong:
Values like 19 or 23 arise from ignoring precedence (e.g., adding before multiplying). −31 is the result of multiplying both 4 and 8 before subtracting from 7-like patterns, which do not apply here.
Common Pitfalls:
Misreading K as division or treating all operations strictly left-to-right. Always apply ×/÷ before +/− unless parentheses dictate otherwise.
Final Answer:
11.
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