| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | D. 4 over 5 and 20 over 30 |
D |
| deepseekr1 | The pairs of ratios form a proportion if their cross-products are equal. Checking each option: - **A (4/5 & 24/30)**: \(4 \times 30 = 120\) and \(5 \times 24 = 120\). Equal, so proportional. - **B (4/5 & 20/25)**: \(4 \times 25 = 100\) and \(5 \times 20 = 100\). Equal, so proportional. - **C (36/45 & 4/5)**: \(36 \times 5 = 180\) and \(45 \times 4 = 180\). Equal, so proportional. - **D (4/5 & 20/30)**: \(4 \times 30 = 120\) and \(5 \times 20 = 100\). Not equal, so **not proportional**. **Answer: D** |
D |
| gpto1 | D | D |
| GPT-4o | D. 4 over 5 and 20 over 30 | D |
| llama3.1-70B-Instruct | B |
D |
| llama3.1-405B-Instruct | D. 4 over 5 and 20 over 30 |
D |
| DeepSeek-Coder-V2 | D | D |
| Qwen2-72B-Instruct | D. 4 over 5 and 20 over 30 | D |
| baichuan4 | D | D |
| doubao | D To determine if ratios form a proportion, we check if the cross-products are equal. For A, 4/5 = 24/30 (cross-products are equal); for B, 4/5 = 20/25 (cross-products are equal); for C, 36/45 simplifies to 4/5 (cross-products are equal); but for D, 4/5 is not equal to 20/30 (cross-products are not equal). |
D |
| minimax | To determine which pair of ratios cannot form a proportion, we need to check if the cross products of each pair are equal. If the cross products are equal, the ratios form a proportion. A. 4/5 and 24/30 Cross products: 4 * 30 = 120 and 5 * 24 = 120 Since 120 = 120, these ratios can form a proportion. B. 4/5 and 20/25 Cross products: 4 * 25 = 100 and 5 * 20 = 100 Since 100 = 100, these ratios can form a proportion. C. 36/45 and 4/5 Cross products: 36 * 5 = 180 and 45 * 4 = 180 Since 180 = 180, these ratios can form a proportion. D. 4/5 and 20/30 Cross products: 4 * 30 = 120 and 5 * 20 = 100 Since 120 ≠ 100, these ratios cannot form a proportion. Therefore, the correct answer is: D. 4 over 5 and 20 over 30 |
D |
| kimi | To determine which pair of ratios cannot form a proportion, we need to check if the ratios are equivalent. Ratios are in proportion if the cross-products are equal. A. \( \frac{4}{5} \) and \( \frac{24}{30} \) \( 4 \times 30 = 120 \) and \( 5 \times 24 = 120 \), so they are in proportion. B. \( \frac{4}{5} \) and \( \frac{20}{25} \) \( 4 \times 25 = 100 \) and \( 5 \times 20 = 100 \), so they are in proportion. C. \( \frac{36}{45} \) and \( \frac{4}{5} \) \( 36 \times 5 = 180 \) and \( 45 \times 4 = 180 \), so they are in proportion. D. \( \frac{4}{5} \) and \( \frac{20}{30} \) \( 4 \times 30 = 120 \) and \( 5 \times 20 = 100 \), so they are NOT in proportion. Answer: D |
D |
| wenxinyiyan | D Explanation: Two ratios can form a proportion if their cross products are equal. In other words, if a/b = c/d, then ad = bc. A. 4/5 and 24/30 Cross product: 4 × 30 = 120, 5 × 24 = 120 Since 120 = 120, these ratios form a proportion. B. 4/5 and 20/25 Cross product: 4 × 25 = 100, 5 × 20 = 100 Since 100 = 100, these ratios form a proportion. C. 36/45 and 4/5 Cross product: 36 × 5 = 180, 45 × 4 = 180 Since 180 = 180, these ratios form a proportion. D. 4/5 and 20/30 Cross product: 4 × 30 = 120, 5 × 20 = 100 Since 120 ≠ 100, these ratios do not form a proportion. |
D |
| zhipu | To determine which pair of ratios cannot form a proportion, we need to check if the ratios are equivalent. Two ratios are equivalent if their cross-products are equal. Let's evaluate each option: A. \( \frac{4}{5} \) and \( \frac{24}{30} \) Cross-multiplying: \( 4 \times 30 = 120 \) and \( 5 \times 24 = 120 \) Since \( 120 = 120 \), these ratios are equivalent. B. \( \frac{4}{5} \) and \( \frac{20}{25} \) Cross-multiplying: \( 4 \times 25 = 100 \) and \( 5 \times 20 = 100 \) Since \( 100 = 100 \), these ratios are equivalent. C. \( \frac{36}{45} \) and \( \frac{4}{5} \) Cross-multiplying: \( 36 \times 5 = 180 \) and \( 45 \times 4 = 180 \) Since \( 180 = 180 \), these ratios are equivalent. D. \( \frac{4}{5} \) and \( \frac{20}{30} \) Cross-multiplying: \( 4 \times 30 = 120 \) and \( 5 \times 20 = 100 \) Since \( 120 \neq 100 \), these ratios are not equivalent. Therefore, the pair of ratios that CANNOT form a proportion is: D. \( \frac{4}{5} \) and \( \frac{20}{30} \) Answer: D |
D |
| gpto1 | D | D |
| deepseekv3 | server error: Error code: 400 - {'error': {'code': 'RequestTimeOut', 'param': None, 'message': 'Request timed out, please try again later.', 'type': 'RequestTimeOut'}, 'id': 'chatcmpl-368d5cc8-b27c-9317-81b2-a0b179b1a9da', 'request_id': '368d5cc8-b27c-9317-81b2-a0b179b1a9da'} | D |