5 Puzzles To Test Your Thinking

1.The reasoning for playing cards
Both Mr. P and Mr. Q have sufficient reasoning skills. On this day, they are undergoing an inference interview.
They know the following 16 playing cards in the drawer of the table:
Red peach A, Q, 4
Spades J, 8, 4, 2, 7, 3
Plum blossom K, Q, 5, 4, 6
Cubes A, 5
Professor John John picked a card from the 16 cards and told Mr. P the points of this card and Mr. Q the suit of the card.
At this time, Professor John asked Mr. P and Mr. Q: Can you infer what kind of the

card this is from the known points or suits?
Mr. P: "I don't know this card."
Mr. Q: "I know you don't know this card."
Mr. P: "Now I know this card."
Mr. Q: "I know that too."
Q: What brand is this card, please write reasoning?

2. A thief suddenly died on the muddy ground in front of a broken warehouse on a rainy day. The clothes were stained with mud, and the pattern on the soles of his leather shoes was clearly discernible. On the broken wire, there was a scar on the head, and there was blood on the stone next to it. Police believe that the criminal was electrocuted after his head slammed into a rock after the road slipped down in the mud. Detective Polo believes that the deceased was dragged here after being killed by his associates and that his clothes were intentionally soiled and a fake scene was created. The two obvious flaws left are evidence. Can you spot these two flaws?

3.A notice posted at the entrance of the Logical Reasoning Club lobby: "Welcome to join the Reasoning Club! As long as you are willing to get an application form through reasoning, you can get a membership!"
I entered the hall and saw two boxes on the table: a round box and a square box. A sentence was written on the round box: "The application form is not in this box", and a sentence was written on the square box: "Only one of the two sentences is true."
If you want to get membership status, do you get the application form from the round box or the square box?

4. A 56-year-old rich man in a city was killed in his villa in a remote village. Now let you play the role of detective Sherlock Holmes. After various investigations, you know that the rich man is not only stingy but also lascivious. Many people in his family hate him. At the bloody murder scene, police arrested and interrogated five suspects, including the real culprit. The confession is as follows:

①. Confession of a rich man's 42-year-old wife: I and my 20-year-old son have always loved him, and his 33-year-old son is a murderer!
②. The confession of the rich man ’s 20-year-old son: The father is a well-known wicked man. Naturally, he would be killed. However, I doubt it makes sense.
③. A man who was placed under house arrest in Zeng's cell confessed: "The murderer is not the 19-year-old servant. The people in this family should all die! Haha!"
④. The rich man's 33-year-old son's confession: Absolutely not me! Although I worry about owing huge sums, it is definitely not me! My father's wife, my mother-in-law, framed me!
⑤. The confession of the rich man's 19-year-old maid and younger son's mistress: His younger 20-year-old son is telling the truth, definitely not him!
It is known that only 3 people have spoken the truth. Who is the real murderer?

5. Jess originally planned to arrive at the airport at 18:00 on time, and his father drove him to the airport at 18:00 on time. As a result, Jess's plane arrived at the airport an hour early (17:00). She walked home on foot and met her father on the way, but they arrived home 20 minutes earlier than originally planned. Excuse me: How long did Jess walk?