
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In an interview, ten people were given a test consisting of several questions. It is known that any five people together answered all the questions (i.e., for each question, at least one of the five gave a correct answer), but any four did not. What is the minimum number of questions this could have been?

Present the answer in LaTex format: \boxed{Your answer}
user