Correct Answer:
C. 10
The correct answer is 10 because following the BODMAS / PEMDAS order of operations requires performing division before moving on to addition and subtraction.
- C. 10: This is the correct choice. The equation resolves step-by-step through standard mathematical order rules:
- Step 1 (Division): Evaluate both division operators. 27 / 3 = 9 and 4 div 2 = 2. This simplifies the expression to 9 + 2 - 1$.
- Step 2 (Addition): Add the numbers from left to right. 9 + 2 = 11$. The expression becomes 11- 1$.
- Step 3 (Subtraction): Subtract the final value. 11 - 1 = 10$.
- Incorrect Options:
- A. 0: This is incorrect. It usually results from neglecting order of operations entirely or subtracting values prematurely before resolving the division terms.
- B. 12: This is incorrect. It occurs if the arithmetic steps are miscalculated or if operations are forced sequentially from left to right without giving priority to division.
- D. None of these: This is incorrect because Option C yields the precise mathematical answer derived using universally accepted algebraic protocols.