Both Xiao Ming and Xiao Qiang are students of Mr. Zhang. His birthday is m month n,
Both of them know that Miss Zhang's birthday is one day in the following 10 groups. Miss Zhang told James about the m value,
Mr. Zhang told Xiaoqiang about the N value and asked them what day he had on his birthday.
March 4 March 5
June 4
September 1
December 1 December 2
James said: If I don't know, I'm sure I don't know either.
Xiaoqiang said: I didn't know either, but now I know.
James said: Oh, I know.
I did not analyze the questions I encountered during my interview today. I came back and checked the information online. My analysis is as follows:
1. The first sentence of the analysis is "James said: If I don't know, Xiao Qiang certainly doesn't know ". What is m in the month that James got? After analyzing the 10 groups of dates, it is not difficult to see that James knows that M cannot be 6 or 12, because "7" in June and "2" in December are unique among all dates! In case that Jack knows that N is 7 or 2, Jack knows the birthday of Jack Zhang directly. James cannot be sure to say "Jack is sure he doesn't know", so m can only be 3 or 9. in this case, the n of Xiaoqiang cannot be 7 or 2, so Xiaoqiang and James are also guessing.
2. Analyze the second sentence, "Xiaoqiang said: I didn't know it, but now I know it ". After listening to what James said, Xiaoqiang analyzed and learned that the remaining possible dates are: March 4, March 5, March 8, September 1, September 5. At this moment, Xiaoqiang said he knew it! Then, John knows that N is definitely not 5, because there are two options: March 5 and September 5. John refuses to reveal his answer. We can only narrow down the scope to "March 4, March 8, September 1" and continue the analysis...
3. Analyze the third sentence "Oh, then I know ". James heard Xiaoqiang say that he knew the answer, and like us, he had three dates to choose from (see step 1 ). James said that he knows the answer, and there is only one problem: James's m is 9! Therefore, Miss Zhang's birthday is July 22, September 1!