The correct option is 15. We follow the BODMAS/PEMDAS rule.\n1. Innermost parentheses: $15 \div (-3) = -5$.\n2. The expression inside the square bracket becomes: $10 + (-5) = 10 - 5 = 5$.\n3. The expression now is: $25 - [5] \times 2$.\n4. Perform multiplication: $5 \times 2 = 10$.\n5. Finally, perform subtraction: $25 - 10 = 15$.\nIncorrect options result from errors in integer arithmetic (e.g., sign errors in division or addition) or incorrect application of the order of operations, such as performing subtraction or addition before multiplication.