The story of the Reckoning birthday

Source: Internet
Author: User

Xiao Ming and Xiao Qiang are teacher Zhang's students, Miss Zhang's birthday is a certain day, 2 people do not know Zhang Teacher's birthday.

Birthdays are the following 10 groups in one day:
March 4 March 5 March 8

June 4 June 7

September 1 September 5

December 1 December 2 December 8
Zhang told the month to Xiao Ming, the day told the cockroach, Mr. Zhang asked them to know his birthday is that day?
Xiao Ming said: If I do not know, Jack Bauer certainly does not know.
"I don't know, but now I know," said Xiao Qiang.
Xiao Ming said: Oh, I also know.
Based on the above dialogue, please infer teacher Zhang's birthday is what day?
Results:
Through Xiao Ming's first sentence, it can be learned that only know the date is useless. This precludes the possibility of June and December.
Through the second sentence of Xiao Qiang, determined the date is 1, 4, 8th in the day. (Repeated days have, 4,5,8,1) ruled out 5
Through the third sentence, it was confirmed that it was September 1.

Opinion one: The proposition "If only know the month cannot judge the birthday, then only then knows the day cannot judge the birthday" the establishment
Then its inverse no proposition is set up, that is, "if only know the day can judge birthdays, then only know the month can judge birthday" set up

Note: To use your own thinking to see the problem

1, note that Xiao Qiang is only aware of the month

1. If I don't know, Jack Bauer certainly doesn't know. Meaning day and month. (Since June and December all have these 2 separate days, then the 2 months are excluded)

Why we can pass 7th and 2nd infer the June and December?

Because if you know these 2 days, Xiao Qiang can infer that it is July and June.

It means that Xiao Ming knows that the number in the 2 months after the other line also has, otherwise as long as a No, Xiao Ming will not be able to say that Xiao Qiang certainly do not know.

2.

3.

2. Note that the N value is not 5 , then the answer excludes March 5 and September 5

3.

Lao Li: I don't know, and I'm sure Lao Wang doesn't know.

On behalf of the old Lee know that row behind two number in other lines also have, otherwise as long as there is a no, Lao Li can't say old Wang certainly don't know. Exclude 1, 2 rows. As Lao Wang knows is 94, then certainly know is 8894.

If Xiao Ming knows the month can have a date only appear once, for example, if xiaoming know is June, in the case of Xiao Ming still do not know, cockroach may know is 7th, and in 10 days only one is 7th, so the cockroach may know, then Xiao Ming can not say that the cockroach certainly know. December can also be ruled out in the same way. In the title, Xiao Ming said that Jack Bauer must not know, so I know in Xiao Ming knows the month, each date appears at least two times. It is inferred from March or September

The story of the Reckoning birthday

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