You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
Four boys, \( A, B, C, \) and \( D \) made three statements each about the same number \( x \). Each of them has at least one statement that is true, but also at least one statement that is false. Given the following statements, determine whether \( x \) can be identified:

- \( A \):
  1. The reciprocal of \( x \) is not less than 1.
  2. The decimal representation of \( x \) does not contain the digit 6.
  3. The cube of \( x \) is less than 221.

- \( B \):
  4. \( x \) is an even number.
  5. \( x \) is a prime number.
  6. \( x \) is an integer multiple of 5.

- \( C \):
  7. \( x \) cannot be expressed as a ratio of two integers.
  8. \( x \) is less than 6.
  9. \( x \) is a square of a natural number.

- \( D \):
  10. \( x \) is greater than 20.
  11. \( x \) is positive, and its base-10 logarithm is at least 2.
  12. \( x \) is not less than 10.

What is the value of \( x \)?
user
25
rule
Four boys, \( A, B, C, \) and \( D \) made three statements each about the same number \( x \). Each of them has at least one statement that is true, but also at least one statement that is false. Given the following statements, determine whether \( x \) can be identified:

- \( A \):
  1. The reciprocal of \( x \) is not less than 1.
  2. The decimal representation of \( x \) does not contain the digit 6.
  3. The cube of \( x \) is less than 221.

- \( B \):
  4. \( x \) is an even number.
  5. \( x \) is a prime number.
  6. \( x \) is an integer multiple of 5.

- \( C \):
  7. \( x \) cannot be expressed as a ratio of two integers.
  8. \( x \) is less than 6.
  9. \( x \) is a square of a natural number.

- \( D \):
  10. \( x \) is greater than 20.
  11. \( x \) is positive, and its base-10 logarithm is at least 2.
  12. \( x \) is not less than 10.

What is the value of \( x \)?
train