JEE Main 2020 Mathematics question

The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5. If P(A ∪ B) = 0.8, P(A ∩ C) = 0.3, P(A ∩ B ∩ C) = 0.2, P(B ∩ C) = and P(A ∪ B ∪ C) = , where 0.85 ≤ ≤ 0.95, then lies in the interval:

• (A)[0.36, 0.40]
• (B)[0.35, 0.36]
• (C)[0.25, 0.35]Correct
• (D)[0.20, 0.25]