MATHS QUIZ 6 LOGIC
Posted: Fri Apr 18, 2008 4:45 pm1. Four people are suspected of stealing a diamond from a museum. If one of their statements are true, and one is false, who is the thief?
Bo said: It was Bo. It wasn't Roman.
Roman said: It was Kate. It wasn't Bo.
John said: It was Roman. It wasn't Kate.
Kate said: It was John. It was Bo.
JOHN
2. After each day, you get one less than twice as many dollars as you got the day before. You get one dollar on March 26, so how many dollars did you get on March 21?
$ ONE DOLLAR
3. Five men are standing in a circle. They know they are wearing at least 2 white hats and at least 2 black hats (no hats are any other colors). They do not know what color hat they are wearing. If the men use logic, how many of them will figure out what color their hat is, if nobody says anything?
TWO
4. Take the same problem from the last question, but this time, the men can say if they know their hat color. How many men will eventually figure out what color their hat is?
FIVE
5. If 3 men can eat 3 steaks in 3 days, how many steaks can 6 men eat in 6 days?
TWELVE
6. Five people took part in a race. Seymour finished before Imogene but after John. Kay finished before Rayman but after Imogene. What was the finishing order? First place to the left and last place to the right.
JOHN, SEYMOUR, IMOGENE, KAY AND RAYMAN
7. You are at a carnival booth where you need to figure out which door the money is behind.
Door 1 says: The money is behind door 2
Door 2 says: the money is not behind door 3
Door 3 says: Door 1 is lying
Which door is the money behind if only one door is telling the truth?
DOOR THREE
8. Out of these four statements, which statement is true if only one statement is true?
Statement A: Statement D is false
Statement B: Statement C is true
Statement C: Statement A is true
Statement D: Statement B is false
STATEMENT D
9. You are on a game show where you must pick a box. Each box either contains nothing, $500, or $1,000, but no two boxes contain the same amount of money. Only one of the boxes is telling the truth. It is impossible to figure out the answer exactly, but which box would be the smartest to pick?
Box A: $500 is in Box C
Box B: There is nothing in this box
Box C: $1,000 is not in Box A
BOX B
10. You are on the same game show a month later. This time, they changed the boxes. Two boxes contain nothing, and one box contains $5,000. This time, the rules have changed. Only one box could be lying, or only one box could be telling the truth. The money is definitely in box B. All you have to do is figure out which boxes are lying or truthful, and which box is the old box.
Box A: The money is not in here
Box B: The money is not in the old box
Box C: The money is not in here
Which box is the old box?
BOX B
Bo said: It was Bo. It wasn't Roman.
Roman said: It was Kate. It wasn't Bo.
John said: It was Roman. It wasn't Kate.
Kate said: It was John. It was Bo.
JOHN
2. After each day, you get one less than twice as many dollars as you got the day before. You get one dollar on March 26, so how many dollars did you get on March 21?
$ ONE DOLLAR
3. Five men are standing in a circle. They know they are wearing at least 2 white hats and at least 2 black hats (no hats are any other colors). They do not know what color hat they are wearing. If the men use logic, how many of them will figure out what color their hat is, if nobody says anything?
TWO
4. Take the same problem from the last question, but this time, the men can say if they know their hat color. How many men will eventually figure out what color their hat is?
FIVE
5. If 3 men can eat 3 steaks in 3 days, how many steaks can 6 men eat in 6 days?
TWELVE
6. Five people took part in a race. Seymour finished before Imogene but after John. Kay finished before Rayman but after Imogene. What was the finishing order? First place to the left and last place to the right.
JOHN, SEYMOUR, IMOGENE, KAY AND RAYMAN
7. You are at a carnival booth where you need to figure out which door the money is behind.
Door 1 says: The money is behind door 2
Door 2 says: the money is not behind door 3
Door 3 says: Door 1 is lying
Which door is the money behind if only one door is telling the truth?
DOOR THREE
8. Out of these four statements, which statement is true if only one statement is true?
Statement A: Statement D is false
Statement B: Statement C is true
Statement C: Statement A is true
Statement D: Statement B is false
STATEMENT D
9. You are on a game show where you must pick a box. Each box either contains nothing, $500, or $1,000, but no two boxes contain the same amount of money. Only one of the boxes is telling the truth. It is impossible to figure out the answer exactly, but which box would be the smartest to pick?
Box A: $500 is in Box C
Box B: There is nothing in this box
Box C: $1,000 is not in Box A
BOX B
10. You are on the same game show a month later. This time, they changed the boxes. Two boxes contain nothing, and one box contains $5,000. This time, the rules have changed. Only one box could be lying, or only one box could be telling the truth. The money is definitely in box B. All you have to do is figure out which boxes are lying or truthful, and which box is the old box.
Box A: The money is not in here
Box B: The money is not in the old box
Box C: The money is not in here
Which box is the old box?
BOX B
