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**Non-Mafia Game Threads / Self-referential quiz**

« **on:**April 08, 2019, 05:09:44 am »

Here is a quiz a devised a couple of years ago.

I've seen enough references on this site to logic and paradoxes that I think this might go down well with some of you.

There are six questions. The tricky thing is that the questions are about your answers (or, in the case of question 6, about all possible 6-tuples of answers).

There may, or may not, be a way to answer all six questions correctly. The aim is to find a 6-tuple which maximises the number of correct answers.

Each answer must be a decimal integer (in simplest form).

Now for the questions:

Good luck.

I've seen enough references on this site to logic and paradoxes that I think this might go down well with some of you.

There are six questions. The tricky thing is that the questions are about your answers (or, in the case of question 6, about all possible 6-tuples of answers).

There may, or may not, be a way to answer all six questions correctly. The aim is to find a 6-tuple which maximises the number of correct answers.

Each answer must be a decimal integer (in simplest form).

Now for the questions:

1. How many times does the digit ‘1’ occur in your answers?

2. Which question number has your (strictly) lowest answer?

3. What is double the median of your answers?

4. What is the range of your answers?

5. What is the result of subtracting your answer to Q1 from your answer to Q2?

6. How many ways are there of answering all six questions correctly?

1. How many times does the digit ‘1’ occur in your answers?

2. Which question number has your (strictly) lowest answer?

3. What is double the median of your answers?

4. What is the range of your answers?

5. What is the result of subtracting your answer to Q1 from your answer to Q2?

6. How many ways are there of answering all six questions correctly?

Good luck.