Computer Sciences > Gate 2020 > decidability and undecidability
Which of the following languages are undecidable? Note that ⟨M⟩ indicates encoding of the Turing machine M.

L1 = { ⟨M⟩ ∣ L(M)=∅ }
L2 = { ⟨M,w,q⟩ ∣ M on input w reaches state q in exactly 100 steps }
L3 = { ⟨M⟩ ∣ L(M) is not recursive }
L4 = { ⟨M⟩ ∣ L(M) contains at least 21 members }
A
L1, L3, and L4 only
B
L1, and L3 only
C
L2, and L3 only
D
L2, L3 and L4 only

Correct : a

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