| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | C. 26 |
C |
| deepseekr1 | To solve the expression \( 3 \times [(2 \times 6 - 5) + (8 \div 4)] - 1 \), follow the order of operations (PEMDAS): 1. **Parentheses**: - First part: \( 2 \times 6 - 5 = 12 - 5 = 7 \). - Second part: \( 8 \div 4 = 2 \). - Combine: \( 7 + 2 = 9 \). 2. **Multiply**: \( 3 \times 9 = 27 \). 3. **Subtract**: \( 27 - 1 = 26 \). The final value is **26**, corresponding to option **C**. **Answer:** C |
C |
| gpto1 | C | C |
| GPT-4o | To solve the expression \(3 \times [(2 \times 6 - 5) + (8 \div 4)] - 1\), follow the order of operations (PEMDAS/BODMAS): 1. **Parentheses/Brackets**: - Inside the first set of parentheses: \(2 \times 6 - 5\) - \(2 \times 6 = 12\) - \(12 - 5 = 7\) - Inside the second set of parentheses: \(8 \div 4\) - \(8 \div 4 = 2\) 2. Combine the results of the parentheses: \(7 + 2 = 9\) 3. Multiply by 3: \(3 \times 9 = 27\) 4. Subtract 1: \(27 - 1 = 26\) Thus, the value of the expression is \(26\). Answer: C |
C |
| llama3.1-70B-Instruct | To evaluate the expression, we need to follow the order of operations (PEMDAS): 1. Evaluate the expressions inside the parentheses: * 2 × 6 = 12 * 12 - 5 = 7 * 8 ÷ 4 = 2 2. Add the results of the expressions inside the parentheses: * 7 + 2 = 9 3. Multiply 3 by the result: * 3 × 9 = 27 4. Subtract 1 from the result: * 27 - 1 = 26 Therefore, the value of the expression is 26. The correct answer is C. |
C |
| llama3.1-405B-Instruct | C |
C |
| DeepSeek-Coder-V2 | B. 11 | C |
| Qwen2-72B-Instruct | C. 26 | C |
| baichuan4 | Let's calculate the expression step by step: 1. (2 × 6 – 5) = 7 2. (8 ÷ 4) = 2 3. [(2 × 6 – 5) + (8 ÷ 4)] = 7 + 2 = 9 4. 3 × [(2 × 6 – 5) + (8 ÷ 4)] = 3 × 9 = 27 5. 3 × [(2 × 6 – 5) + (8 ÷ 4)] – 1 = 27 – 1 = 26 So the answer is C. 26. |
C |
| doubao | C First calculate the expressions inside the brackets: (2×6–5) = 7 and (8÷4) = 2. Then add them: 7 + 2 = 9. Multiply this by 3: 3×9 = 27. Finally subtract 1: 27 - 1 = 26. |
C |
| minimax | Let's solve the expression step by step: 3 × [(2 × 6 – 5) + (8 ÷ 4)] – 1 First, solve the expressions within the parentheses: 2 × 6 = 12 8 ÷ 4 = 2 Now the expression looks like this: 3 × [(12 – 5) + 2] – 1 Next, solve the expressions within the brackets: 12 – 5 = 7 7 + 2 = 9 Now the expression looks like this: 3 × 9 – 1 Now multiply: 3 × 9 = 27 Finally, subtract 1: 27 – 1 = 26 The value of the expression is 26. Answer: C. 26 |
C |
| kimi | To solve the expression, we follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS. So, let's break it down: 1. Solve the expressions inside the parentheses first: - (2 × 6 – 5) = 12 - 5 = 7 - (8 ÷ 4) = 2 2. Now the expression looks like this: - 3 × (7 + 2) – 1 3. Next, perform the addition inside the parentheses: - 7 + 2 = 9 4. Now the expression is: - 3 × 9 – 1 5. Perform the multiplication: - 3 × 9 = 27 6. Finally, perform the subtraction: - 27 – 1 = 26 So the value of the expression is 26. Answer: C. 26 |
C |
| wenxinyiyan | D Explanation: According to the order of operations (PEMDAS/BODMAS), we need to solve the expression in the following order: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Let's solve the given expression step by step: 3 × [(2 × 6 - 5) + (8 ÷ 4)] - 1 Step 1: Solve the parentheses/brackets first. = 3 × [(12 - 5) + (2)] - 1 Step 2: Solve the addition within the square brackets. = 3 × [7 + 2] - 1 = 3 × 9 - 1 Step 3: Perform multiplication. = 27 - 1 Step 4: Perform subtraction. = 26 However, there's a common mistake people make when applying the order of operations, which is to forget that the innermost parentheses should be solved first. In this case, the 8 ÷ 4 within the second set of parentheses should actually be solved before the 2 × 6 - 5 in the first set. Let's redo the steps with this correction: Step 1: Solve the innermost parentheses/brackets first. = 3 × [(2 × 6 - 5) + 2] - 1 Step 2: Solve the remaining parentheses/brackets. = 3 × [12 - 5 + 2] - 1 = 3 × [7 + 2] - 1 = 3 × 9 - 1 Step 3: Perform multiplication. = 27 - 1 Step 4: Perform subtraction. = 26 Fortunately, in this case, the mistake doesn't change the final answer because the addition of 7 and 2 is commutative. However, it's important to always follow the correct order of operations to avoid potential errors. The final answer is 26, which corresponds to option C. Note: The original answer provided (D. 32) is incorrect based on the given expression and the order of operations. The correct answer is C. 26. |
C |
| zhipu | To find the value of the expression \(3 \times [(2 \times 6 - 5) + (8 \div 4)] - 1\), we need to follow the order of operations (PEMDAS/BODMAS): 1. **Parentheses/Brackets**: Solve the expressions inside the brackets first. \[ (2 \times 6 - 5) + (8 \div 4) \] 2. **Multiplication and Division** inside the brackets: \[ (12 - 5) + (2) \] 3. **Subtraction and Addition** inside the brackets: \[ 7 + 2 = 9 \] 4. **Multiplication** outside the brackets: \[ 3 \times 9 = 27 \] 5. **Subtraction** at the end: \[ 27 - 1 = 26 \] So, the value of the expression is 26. Answer: C |
C |
| gpto1 | C | C |
| deepseekv3 | To solve the expression \( 3 \times \left[(2 \times 6 - 5) + (8 \div 4)\right] - 1 \), follow these steps: 1. **Calculate inside the parentheses:** - \( 2 \times 6 = 12 \) - \( 12 - 5 = 7 \) - \( 8 \div 4 = 2 \) 2. **Add the results inside the brackets:** - \( 7 + 2 = 9 \) 3. **Multiply by 3:** - \( 3 \times 9 = 27 \) 4. **Subtract 1:** - \( 27 - 1 = 26 \) The value of the expression is **26**. **Answer:** C. 26 |
C |