A car thief, who had managed to evade the authorities in the past, unknowingly took the automobile that belonged to Detective Anderson. The detective wasted no time and spared no effort in discovering and carefully examining the available clues. He was able to identify four suspects with certainty that one of them was the culprit.
The four make the statements below. From twelve of total statements, six are true and six false.
Suspect A:
1. C and I have met many times before today.
2. B is guilty.
3. The car thief did not know it was the Detective's car.
Suspect B:
1. D did not do it.
2. D's third statement is false.
3. I am innocent.
Suspect C:
1. I have never met A before today.
2. B is not guilty.
3. D knows how to drive.
Suspect D:
1. B's first statement is false.
2. I do not know how to drive.
3. A did it.
Which one is the car thief?
Let's say 6 statements are lies.
A's 1st statement and C's 1st statement negate each other. One of them is a lie.
C's and D's negate each other. One of them is lying. Therefore, there are 4 additional false statements.
Assume A is guilty. If so, A's second statement, B's second statement, and D's first statement are the additional lies.
Assume D is guilty. If so, A's second statement, B's first statement, and D's third statement are lies. This also only makes five false statements. D did not do it.
Assume C did it. If so, A's second statement, D's first and third statements are false. This again, makes only five false statements.
After ruling out suspects A, C and D, B is the culprit. B's third statement, C's second statement, and D's first and third statements are the additional false statements. This adds up to six.
A woman killed her own sister. During the interrogation, she told a story that she just attended her own mother's funeral few days before the crime took place. While at the funeral, she said that she met this guy whom she did not know. She thought this guy was amazing, so much her dream guy she believed him to be just that! She fell in love with him right there, but never asked for his number and could not find him.
A few days later, she killed her sister.
Although this woman has confessed to the crime, police are still intriguing by the story, especially because she won't tell them her motive. Hearing this tragic story, with his psychological education background, Detective Anderson easily guessed the woman's motive.
Why the woman killed her own sister?
Old Mr. Smith was found dead in his study by young Jack. Jack recounted his dismal discovery to Detective Anderson, who happened to be around the scene.
"I was walking by Mr. Smith's house when I thought I would just pop in for a visit. I noticed his study light was on and I decided to peek in from the outside to see if he was in there. There was frost on the window, so I had to wipe it away to see inside. That is when I saw his body. So I kicked in the front door to confirm my suspicions of foul play. I called the police immediately afterward."
With a clue from Detective Anderson, the police officers immediately arrested Jack for the murder of Mr. Smith.
How could the detective tell Jack was lying?
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