| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | D |
D |
| deepseekr1 | The number pattern starts at 28 and increases by 14 each time, forming the sequence: 28, 42, 56, 70, 84, 98, etc. To determine divisibility: - **Option A**: 28 ÷10 = 2.8 (not a whole number), so **A is false**. - **Option B**: 42 ÷4 = 10.5 (not a whole number), so **B is false**. - **Option C**: 28 ÷8 = 3.5 (not a whole number), so **C is false**. - **Option D**: Every term in the sequence is of the form \(14 \times (2 + n)\), where \(n\) is a non-negative integer. Since 14 is divisible by 7, all terms are multiples of 7. Testing terms (28, 42, 56, etc.) confirms they are all divisible by 7. **D is true**. Answer: D |
D |
| gpto1 | D | D |
| GPT-4o | D. All the numbers in the pattern can be divided equally by 7. | D |
| llama3.1-70B-Instruct | B |
D |
| llama3.1-405B-Instruct | D |
D |
| DeepSeek-Coder-V2 | D | D |
| Qwen2-72B-Instruct | D. All the numbers in the pattern can be divided equally by 7. | D |
| baichuan4 | B. All the numbers in the pattern can be divided equally by 4. | D |
| doubao | D. The first number 28 is divisible by 7. And since the pattern rule is to add 14 (which is also divisible by 7) to get the next number, all the numbers in the pattern will be divisible by 7. | D |
| minimax | D. All the numbers in the pattern can be divided equally by 7. Explanation: Since the pattern starts with 28, which is divisible by 7, and the rule is to add 14 (which is also divisible by 7) to get the next number, each subsequent number in the pattern will also be divisible by 7. This is because adding a multiple of 7 to another multiple of 7 will always result in another multiple of 7. |
D |
| kimi | Let's analyze the pattern: The first number is 28. The second number is 28 + 14 = 42. The third number is 42 + 14 = 56. And so on... Now let's check the divisibility of each statement: A. All the numbers in the pattern can be divided equally by 10. 28 is not divisible by 10, so this statement is false. B. All the numbers in the pattern can be divided equally by 4. 28 is divisible by 4 (28 / 4 = 7), and every subsequent number will also be divisible by 4 because adding 14 (which is also divisible by 4) to a number divisible by 4 will result in another number divisible by 4. So this statement is true. C. All the numbers in the pattern can be divided equally by 8. 28 is not divisible by 8 (28 / 8 = 3.5), so this statement is false. D. All the numbers in the pattern can be divided equally by 7. 28 is not divisible by 7 (28 / 7 ≈ 4), so this statement is false. Answer: B |
D |
| wenxinyiyan | D Explanation: To solve this problem, we need to analyze the number pattern and determine which statement is true. The first number in the pattern is 28, and the rule is to add 14 to get the next number. Let's generate a few numbers in this pattern to observe the pattern: * First number: 28 * Second number: 28 + 14 = 42 * Third number: 42 + 14 = 56 * Fourth number: 56 + 14 = 70 Now, let's check each statement: A. All the numbers in the pattern can be divided equally by 10. * 28 cannot be divided equally by 10. * 42 cannot be divided equally by 10. * This statement is false. B. All the numbers in the pattern can be divided equally by 4. * Although 28 and 56 can be divided equally by 4, 42 cannot. * This statement is false. C. All the numbers in the pattern can be divided equally by 8. * 28 cannot be divided equally by 8. * 42 cannot be divided equally by 8. * This statement is false. D. All the numbers in the pattern can be divided equally by 7. * 28 ÷ 7 = 4 * 42 ÷ 7 = 6 * 56 ÷ 7 = 8 * 70 ÷ 7 = 10 * All the numbers generated so far can be divided equally by 7. * Since the pattern rule is to add 14 (which is a multiple of 7), all future numbers in the pattern will also be divisible by 7. * This statement is true. |
D |
| zhipu | To determine which statement is true about the number pattern starting with 28 and adding 14 to get the next number, let's analyze each option: 1. **Pattern Generation**: - The first number is 28. - The second number is 28 + 14 = 42. - The third number is 42 + 14 = 56. - The fourth number is 56 + 14 = 70. - And so on... 2. **Checking Each Option**: - **A. All the numbers in the pattern can be divided equally by 10.** - 28 ÷ 10 = 2.8 (not divisible) - 42 ÷ 10 = 4.2 (not divisible) - 56 ÷ 10 = 5.6 (not divisible) - This option is false. - **B. All the numbers in the pattern can be divided equally by 4.** - 28 ÷ 4 = 7 (divisible) - 42 ÷ 4 = 10.5 (not divisible) - This option is false. - **C. All the numbers in the pattern can be divided equally by 8.** - 28 ÷ 8 = 3.5 (not divisible) - 42 ÷ 8 = 5.25 (not divisible) - This option is false. - **D. All the numbers in the pattern can be divided equally by 7.** - 28 ÷ 7 = 4 (divisible) - 42 ÷ 7 = 6 (divisible) - 56 ÷ 7 = 8 (divisible) - 70 ÷ 7 = 10 (divisible) - This option is true. Given the analysis, the correct answer is: **D** |
D |
| gpto1 | D | D |
| deepseekv3 | Let’s analyze the number pattern step by step: 1. The first number is **28**. 2. The pattern rule is to **add 14** to get the next number. So, the sequence is: - 28, 42, 56, 70, 84, 98, ... Now, let’s check each statement: **A. All the numbers in the pattern can be divided equally by 10.** - 28 ÷ 10 = 2.8 (not divisible by 10). - This statement is **false**. **B. All the numbers in the pattern can be divided equally by 4.** - 28 ÷ 4 = 7, 42 ÷ 4 = 10.5 (not divisible by 4). - This statement is **false**. **C. All the numbers in the pattern can be divided equally by 8.** - 28 ÷ 8 = 3.5, 42 ÷ 8 = 5.25 (not divisible by 8). - This statement is **false**. **D. All the numbers in the pattern can be divided equally by 7.** - 28 ÷ 7 = 4, 42 ÷ 7 = 6, 56 ÷ 7 = 8, 70 ÷ 7 = 10, 84 ÷ 7 = 12, 98 ÷ 7 = 14. - All numbers are divisible by 7. - This statement is **true**. Thus, the correct answer is: **D** |
D |