Solution: Total questions: X

Total options for each question: 3 [Yes, No, or Don’t know]

Thus, the probability of randomly guessing an answer and getting it correct = 1/3

Thus, the probability of randomly guessing answers to all X questions and getting them correct:

=> \(\frac{1}{3}\cdot\frac{1}{3}\cdot....\cdot N\ times\)

=> \(\left(\frac{1}{3}\right)^x\)

=> \(\left(\frac{1}{3}\right)^x<\frac{1}{300}\)

=> \(\left(\frac{1}{3^x}\right)<\frac{1}{300}\)

=> \(3^x>300\)

For x = 6, 36 = 729, which exceeds 300.

Therefore, C is the correct answer.

Answer C