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

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