"I visited my math teacher last February. My teacher told me there were 3 groups of students came to his house on that day already. He also told me each group had different numbers of students. He said it was a coincidence that the product of the numbers of students in each group was equal to the visiting date (today’s date). He asked me if I knew how many people came in each group I looked at the calendar and found out that there might be 4 possible answers. So I asked my teacher a question. He replied: No. Then I gave him the correct answer. How many people came in each group? ‘Do you consider 1 person as a group?’ My teacher said: No. Do you know on what date I visited my teacher?"

  1. 1,2 and 3

  2. 2, 3, and 4

  3. 3,4 and 5

  4. 4, 5 and 6


Correct Option: B
Explanation:

To solve this question, the user needs to understand the relationship between the number of students in each group, their product, and the visiting date. The user must also consider the possible visiting dates based on the given information.

Let's consider each option and eliminate those that are impossible based on the information provided:

Option A: 1, 2, and 3. The product of these numbers is 6. However, there are no dates in February that are the 6th of the month, so this option is not possible.

Option B: 2, 3, and 4. The product of these numbers is 24. February 4th is the only possible date in February that has a product of 24, so this option is possible.

Option C: 3, 4, and 5. The product of these numbers is 60. However, there are no dates in February that are the 60th of the month, so this option is not possible.

Option D: 4, 5, and 6. The product of these numbers is 120. However, there are no dates in February that are the 120th of the month, so this option is not possible.

Therefore, the only possible answer is:

The Answer is: B. 2, 3, and 4.

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