1. Logical reasoning: A person should hire an employee. There are two applicants at the same time, and he wants to test them. He took them to a room and took out a box with two red hats and three black hats in it. He said, "I'll turn off the light later, and the three of us will each take out a hat from the heavy box and put it on." You can't take off your hat after turning on the light. You can only look at the hats of the other two people and introduce the colors of your hats. " ......

Turn on the light. One of them saw another candidate wearing a black hat and the examiner wearing a red hat. He wants to know. Three people have been slow to speak. Suddenly, the man said, "Mine is black!" " "

He's right. If they are similar in intelligence, how can he know the color of the hat on his head?

Let examiners a, b and c answer correctly.

At first, A wears red, C wears black, and B can't know. After that, C never spoke again. If B wears red, because there are only two reds, and C's IQ is not low, then C must soon understand that he wears black, but he doesn't, which means B must wear black.

2. Probability problem: A, B and C have a lucky draw. The rule is: 3 cover tickets, one of which is the winning ticket. A take one first. If a draws the winning ticket, the bonus is a's; If you don't get it, B will draw it, and A will throw it away if it doesn't win the prize. If B wins, it is B's; If not, the prize is C. Q: What are the chances of A, B and C being drawn?

Solution: All are 3/ 1.

A:1* 3/ 1 = 3/1(A must be 3/1,yes),

B: 2/ 1 * 3/2 = 3/ 1 (B needs to draw one ticket from two tickets, which are 3/2 of the total),

C: 3/ 1 *1= 3/1(there is no need to draw c, but that is 3/1of the total).

3. Equation solving application problem: A rides a motorcycle at a constant speed on the expressway. 12 o'clock, the number he saw on the milestone is two digits, and the sum of ten digits is 7; The number at 13 on the milestone is just the opposite of the number seen at 12; The number of 14 on the tablet computer is one more 0 than that of 12. Q: What is the number of 12?

Think about this process yourself. If you can't solve this problem, you can use dead push. Tip: Start with the highest digit of three numbers and "uniform speed")

A: 16.