| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. 12 : 96; 2 : 16 |
B |
| deepseekr1 | To determine which ratios equal 4:32, simplify 4:32 by dividing both terms by 4, resulting in **1:8**. Check each option: - **A**: - 2:96 simplifies to 1:48 ❌ - 2:16 simplifies to 1:8 ✔️ *Fails because one ratio is incorrect.* - **B**: - 12:96 simplifies to 1:8 ✔️ - 2:16 simplifies to 1:8 ✔️ *Both ratios match 1:8.* - **C**: - 12:96 simplifies to 1:8 ✔️ - 12:16 simplifies to 3:4 ❌ *Fails because one ratio is incorrect.* - **D**: - 2:96 simplifies to 1:48 ❌ - 12:16 simplifies to 3:4 ❌ *Both ratios are incorrect.* Only **B** contains ratios that both simplify to 1:8. Answer: **B** |
B |
| gpto1 | B | B |
| GPT-4o | B. 12 : 96; 2 : 16 | B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | B. 12 : 96; 2 : 16 |
B |
| DeepSeek-Coder-V2 | B | B |
| Qwen2-72B-Instruct | B | B |
| baichuan4 | To determine which ratios are equal to 4 : 32, we need to simplify the ratio and see which options match it. Simplifying 4 : 32 gives us 1 : 8 (since both numbers can be divided by 4). Now, let's simplify the options: A. 2 : 96 simplifies to 1 : 48 (divide both numbers by 2), and 2 : 16 simplifies to 1 : 8 (divide both numbers by 2). B. 12 : 96 simplifies to 1 : 8 (divide both numbers by 12), and 2 : 16 simplifies to 1 : 8 (divide both numbers by 2). C. 12 : 96 simplifies to 1 : 8 (divide both numbers by 12), and 12 : 16 simplifies to 3 : 4 (divide both numbers by 4). D. 2 : 96 simplifies to 1 : 48 (divide both numbers by 2), and 12 : 16 simplifies to 3 : 4 (divide both numbers by 4). Therefore, the correct answer is: B. 12 : 96; 2 : 16 |
B |
| doubao | B. 12:96 = 1:8 = 4:32, 2:16 = 1:8 = 4:32. | B |
| minimax | To find which ratios are equal to 4 : 32, we can simplify the given ratio by dividing both terms by their greatest common divisor, which is 4 in this case: 4 : 32 = (4 ÷ 4) : (32 ÷ 4) = 1 : 8 Now we need to check which of the given options simplifies to the ratio of 1 : 8. A. 2 : 96; 2 : 16 Simplify each ratio: 2 : 96 = (2 ÷ 2) : (96 ÷ 2) = 1 : 48 (not equal to 1 : 8) 2 : 16 = (2 ÷ 2) : (16 ÷ 2) = 1 : 8 (equal to 1 : 8) B. 12 : 96; 2 : 16 Simplify each ratio: 12 : 96 = (12 ÷ 12) : (96 ÷ 12) = 1 : 8 (equal to 1 : 8) 2 : 16 = (2 ÷ 2) : (16 ÷ 2) = 1 : 8 (equal to 1 : 8) C. 12 : 96; 12 : 16 Simplify each ratio: 12 : 96 = (12 ÷ 12) : (96 ÷ 12) = 1 : 8 (equal to 1 : 8) 12 : 16 = (12 ÷ 4) : (16 ÷ 4) = 3 : 4 (not equal to 1 : 8) D. 2 : 96; 12 : 16 We already know that 2 : 96 simplifies to 1 : 48, which is not equal to 1 : 8, and 12 : 16 simplifies to 3 : 4, which is also not equal to 1 : 8. The correct answer is B. 12 : 96; 2 : 16, because both simplify to the ratio of 1 : 8. |
B |
| kimi | To determine which ratios are equal to 4:32, we first simplify the ratio 4:32 by dividing both terms by their greatest common divisor, which is 4. 4 ÷ 4 : 32 ÷ 4 = 1 : 8 Now we compare this simplified ratio with the options given: A. 2 : 96; 2 : 16 B. 12 : 96; 2 : 16 C. 12 : 96; 12 : 16 D. 2 : 96; 12 : 16 We simplify each ratio in the options: A. 2 : 96 simplifies to 1 : 48 (2 ÷ 2 : 96 ÷ 2), and 2 : 16 simplifies to 1 : 8 (2 ÷ 2 : 16 ÷ 2). B. 12 : 96 simplifies to 1 : 8 (12 ÷ 12 : 96 ÷ 12), and 2 : 16 simplifies to 1 : 8 (2 ÷ 2 : 16 ÷ 2). C. 12 : 96 simplifies to 1 : 8 (12 ÷ 12 : 96 ÷ 12), and 12 : 16 simplifies to 3 : 4 (12 ÷ 4 : 16 ÷ 4). D. 2 : 96 simplifies to 1 : 48 (2 ÷ 2 : 96 ÷ 2), and 12 : 16 simplifies to 3 : 4 (12 ÷ 4 : 16 ÷ 4). The simplified ratios that are equal to 1:8 are found in options B and C. However, option B has both ratios equal to 1:8, which matches the original ratio 4:32. Answer: B |
B |
| wenxinyiyan | B To find ratios that are equal to 4 : 32, we need to either divide or multiply both numbers by the same value. Let's look at the options: A. 2 : 96; 2 : 16 For 2 : 96 to be equal to 4 : 32, we would need to multiply 4 and 32 by the same number to get 2 and 96 respectively. But 4 multiplied by any number won't give 2, so this ratio is not equal. For 2 : 16, we would need to divide 4 and 32 by the same number. Dividing both by 2 gives 2 : 16, but since the first ratio 2 : 96 is not equal, this option is incorrect. B. 12 : 96; 2 : 16 For 12 : 96, we can divide both 12 and 96 by 3 to get 4 : 32, so this ratio is equal. For 2 : 16, we can divide both 4 and 32 by 2 to get 2 : 16, so this ratio is also equal to 4 : 32. Since both ratios are equal to 4 : 32, this option is correct. C. 12 : 96; 12 : 16 For 12 : 96, we can divide both by 3 to get 4 : 32, but for 12 : 16, dividing both by any number won't give 4 : 32. So this option is incorrect. D. 2 : 96; 12 : 16 For 2 : 96, multiplying 4 and 32 by any number won't give 2 and 96 respectively. For 12 : 16, dividing both by any number won't give 4 : 32. So this option is incorrect. Therefore, the correct answer is B. |
B |
| zhipu | To determine which ratios are equal to 4 : 32, we need to simplify the given ratios and compare them. First, simplify 4 : 32: \[ \frac{4}{32} = \frac{1}{8} \] Now, let's simplify each ratio in the options: **Option A: 2 : 96 and 2 : 16** - \[ \frac{2}{96} = \frac{1}{48} \] (not equal to \( \frac{1}{8} \)) - \[ \frac{2}{16} = \frac{1}{8} \] (equal to \( \frac{1}{8} \)) **Option B: 12 : 96 and 2 : 16** - \[ \frac{12}{96} = \frac{1}{8} \] (equal to \( \frac{1}{8} \)) - \[ \frac{2}{16} = \frac{1}{8} \] (equal to \( \frac{1}{8} \)) **Option C: 12 : 96 and 12 : 16** - \[ \frac{12}{96} = \frac{1}{8} \] (equal to \( \frac{1}{8} \)) - \[ \frac{12}{16} = \frac{3}{4} \] (not equal to \( \frac{1}{8} \)) **Option D: 2 : 96 and 12 : 16** - \[ \frac{2}{96} = \frac{1}{48} \] (not equal to \( \frac{1}{8} \)) - \[ \frac{12}{16} = \frac{3}{4} \] (not equal to \( \frac{1}{8} \)) From the simplifications, only the ratios in Option B (12 : 96 and 2 : 16) are both equal to \( \frac{1}{8} \), which matches the simplified form of 4 : 32. Answer: B |
B |
| gpto1 | B | B |
| deepseekv3 | To determine which ratios are equal to \(4 : 32\), simplify the ratio first: \[ 4 : 32 = \frac{4}{32} = \frac{1}{8}. \] Now compare each option to \(\frac{1}{8}\): **Option A:** \(2 : 96 = \frac{2}{96} = \frac{1}{48}\) (not equal to \(\frac{1}{8}\)) \(2 : 16 = \frac{2}{16} = \frac{1}{8}\) (equal to \(\frac{1}{8}\)) This option is partially correct, but not fully. **Option B:** \(12 : 96 = \frac{12}{96} = \frac{1}{8}\) (equal to \(\frac{1}{8}\)) \(2 : 16 = \frac{2}{16} = \frac{1}{8}\) (equal to \(\frac{1}{8}\)) Both ratios in this option are equal to \(\frac{1}{8}\). **Option C:** \(12 : 96 = \frac{12}{96} = \frac{1}{8}\) (equal to \(\frac{1}{8}\)) \(12 : 16 = \frac{12}{16} = \frac{3}{4}\) (not equal to \(\frac{1}{8}\)) This option is partially correct, but not fully. **Option D:** \(2 : 96 = \frac{2}{96} = \frac{1}{48}\) (not equal to \(\frac{1}{8}\)) \(12 : 16 = \frac{12}{16} = \frac{3}{4}\) (not equal to \(\frac{1}{8}\)) This option is entirely incorrect. The correct answer is **B**, as both ratios in this option are equal to \(4 : 32\). **Answer: B** |
B |