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Quiz about Mixed Logic
Quiz about Mixed Logic

Mixed Logic Trivia Quiz


Here are some questions to test your logic. (Living in Norway, English is not my native language. Please, let me know if any of the questions or answers should be phrased differently)

A multiple-choice quiz by mikkemus1. Estimated time: 24 mins.
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Author
mikkemus1
Time
24 mins
Type
Multiple Choice
Quiz #
54,468
Updated
Dec 03 21
# Qns
10
Difficulty
Impossible
Avg Score
2 / 10
Plays
10363
Question 1 of 10
1. Two card-players, Peter and Paul, have 100 dollars in the pot. They have agreed that the first player to win 5 games shall win the pot. Each player has an equal chance of winning each play. After Peter has won 4 times and Paul has won 3 times, the game is interrupted, and they have to stop playing and share the money. What's the most fair amount of money that Peter should get? Hint


Question 2 of 10
2. Some years ago I was introduced to someone I hadn't met before. The host showed me a photo of a young man. He said: 'He's the only son of the only brother of the only aunt of my father's only niece'. Who was that young man? Hint


Question 3 of 10
3. Some parrots were sitting on two telephone-lines. One of the parrots on the first line said to those on the second: 'If one of you come over to us, we will be twice as many as you.' A parrot on the second line replied: 'If one of you come over to us, there will be the same amount on both lines'. How many parrots sat on the first line?

Answer: (One Number)
Question 4 of 10
4. Three children, Peter, Jane and Eric, share a bag of peanuts. There were 770 peanuts in the bag. For every 4 peanuts Peter took, Jane took 3, and for every 6 peanuts Peter took, Eric took 7. How many peanuts did Peter get?

Answer: (One Number)
Question 5 of 10
5. Yesterday I met an old friend that I hadn't seen for many years. He told me that he had 3 children, and when I asked how old they were, he said that the sum of their ages is 13, and if you multiply their ages, the result is the same as your own age. I knew my own age, of course, but I still could not tell how old his children were, so he had to give me another hint. He then told me that the oldest one was visiting his grandparents right now. How old was this child?

Answer: (One Number)
Question 6 of 10
6. Three men are taken prisoners by cannibals, and they are tied to 3 poles standing on a line, so that the first man sees none of the others, the second man sees only the first man, and the third man sees the first and the second man. They are then shown 5 hats, 3 black and 2 white. After being blindfolded, the men get one hat each. The rest of the hats are hidden. The blindfolds then go off, and they are told that if one of the men can say the colour of his own hat correctly, then they all will be free, but they are not allowed to talk to each other. After some minutes the first man then says the colour of his hat. What's the colour of the first man's hat? Hint


Question 7 of 10
7. Write a 10-digit number. The first digit tells how many zeroes there are in the number. The second digit tells how many ones that are in the number. The third digit tells how many twos there are in the number, and so on. The last number tells how many nines there are in the number. What is this number?

Answer: (One Number)
Question 8 of 10
8. Ann and Ben have the total weight of 120 kilograms. Ben and Charlie have the total weight of 130 kilograms. Ann and Charlie have the total weight of 150 kilograms. What's the weight of Charlie? Write only the number.

Answer: (One Number)
Question 9 of 10
9. AB * C = DE * F = GHI. The letters represent all the numbers 1-9. What is the number GHI? There are two solutions.

Answer: (One Number)
Question 10 of 10
10. Maud has 4 children. They are John, Amanda, Sybil and Albert. John has 3 children. They are Gary, Anna and Joe. Amanda has no children. Sybil has 2 children. They are Sam and Joan. Gary has no children. Anna has no children. Joe has 4 children. Sam has no children. Joan has 3 children. There's a certain logic regarding how many children these persons have. How many children does Albert have?

Answer: (One Number)

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Quiz Answer Key and Fun Facts
1. Two card-players, Peter and Paul, have 100 dollars in the pot. They have agreed that the first player to win 5 games shall win the pot. Each player has an equal chance of winning each play. After Peter has won 4 times and Paul has won 3 times, the game is interrupted, and they have to stop playing and share the money. What's the most fair amount of money that Peter should get?

Answer: 75 dollars

Paul has to win both the next two games to win the pot. This will only happen in 1 of 4 times, so it's fair that he only get 25 percent of the money.
2. Some years ago I was introduced to someone I hadn't met before. The host showed me a photo of a young man. He said: 'He's the only son of the only brother of the only aunt of my father's only niece'. Who was that young man?

Answer: The host himself

The host when he was young.
3. Some parrots were sitting on two telephone-lines. One of the parrots on the first line said to those on the second: 'If one of you come over to us, we will be twice as many as you.' A parrot on the second line replied: 'If one of you come over to us, there will be the same amount on both lines'. How many parrots sat on the first line?

Answer: 7

X+1=2(Y-1) and X-1=Y+1
4. Three children, Peter, Jane and Eric, share a bag of peanuts. There were 770 peanuts in the bag. For every 4 peanuts Peter took, Jane took 3, and for every 6 peanuts Peter took, Eric took 7. How many peanuts did Peter get?

Answer: 264

When Peter had taken 12 peanuts, Jane had taken 9 and Eric 14. This is the total of 35 in one round. 770 divided by 35 is 22, so they can have 22 rounds. 12 times 22 are 264.
5. Yesterday I met an old friend that I hadn't seen for many years. He told me that he had 3 children, and when I asked how old they were, he said that the sum of their ages is 13, and if you multiply their ages, the result is the same as your own age. I knew my own age, of course, but I still could not tell how old his children were, so he had to give me another hint. He then told me that the oldest one was visiting his grandparents right now. How old was this child?

Answer: 9

These are the possible combinations of their ages (and the product of these): 1 1 11 (11), 1 2 10 (20), 1 3 9 (27), 1 4 8 (32), 1 5 7 (35), 1 6 6 (36), 2 2 9 (36), 2 3 8 (48), 2 4 7 (56), 2 5 6 (60), 3 3 7 (63), 3 4 6 (72), 3 5 5 (75) and 4 4 5 (80). Since I couldn't tell their age based on this, they must be either 1 6 6 or 2 2 9 (and my own age must be 36).

When I got the information that one of the children is older than the others, this child must be 9.
6. Three men are taken prisoners by cannibals, and they are tied to 3 poles standing on a line, so that the first man sees none of the others, the second man sees only the first man, and the third man sees the first and the second man. They are then shown 5 hats, 3 black and 2 white. After being blindfolded, the men get one hat each. The rest of the hats are hidden. The blindfolds then go off, and they are told that if one of the men can say the colour of his own hat correctly, then they all will be free, but they are not allowed to talk to each other. After some minutes the first man then says the colour of his hat. What's the colour of the first man's hat?

Answer: Black

There are 7 combinations of hats. These are WWB, WBW, WBB, BWW, BWB, BBW and BBB. If the combination is WWB, then the third man will see two white hats, and will know that his own must be black, but he says nothing, so this combination must be wrong. The second man knows that the third man says nothing, and the only time he can know the colour of his own hat, is when he sees a white hat on the first man. If so, his own hat must be black.

But he says nothing, so the combinations WBW and WBB must be incorrect.

The first man knows that the two others can not tell the colour of their hats, so his hat has to be black.
7. Write a 10-digit number. The first digit tells how many zeroes there are in the number. The second digit tells how many ones that are in the number. The third digit tells how many twos there are in the number, and so on. The last number tells how many nines there are in the number. What is this number?

Answer: 6210001000

6 - There are 6 times 0
2 - There are 2 times 1
1 - There is 1 time 2 and 1 time 6
0 - There are no 3, 4, 5, 7, 8 and 9.
Some have come up with the solution 9000000000, but this is incorrect, as there's a 9 in this number, and the 10th digit should then be a 1, not a 0.
8. Ann and Ben have the total weight of 120 kilograms. Ben and Charlie have the total weight of 130 kilograms. Ann and Charlie have the total weight of 150 kilograms. What's the weight of Charlie? Write only the number.

Answer: 80

If you add all these weights together, you'll get 400 kilograms. This is twice the weight of Ann, Ben and Charlie together. Their total weight must be 200 kilograms, and if you subtract the total weight of Ann and Ben from this, the result will be 80 kilograms.
9. AB * C = DE * F = GHI. The letters represent all the numbers 1-9. What is the number GHI? There are two solutions.

Answer: 156

39*4=78*2=156, 58*3=29*6=174
10. Maud has 4 children. They are John, Amanda, Sybil and Albert. John has 3 children. They are Gary, Anna and Joe. Amanda has no children. Sybil has 2 children. They are Sam and Joan. Gary has no children. Anna has no children. Joe has 4 children. Sam has no children. Joan has 3 children. There's a certain logic regarding how many children these persons have. How many children does Albert have?

Answer: 1

Look at the vowels in their names. A=0, E=1, I=2, O=3, U=4, Y=0
Source: Author mikkemus1

This quiz was reviewed by FunTrivia editor spanishliz before going online.
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