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The correct answer is option "3 and 4 only".
Let`s dissect each option.
Option 1 suggests that statement 1 & 2 are correct. However, statement 1 is inaccurate because the Speaker of Lok Sabha can indeed reject the motion to impeach a Judge under the Judges (Inquiry) Act 1968. Also, the Constitution of India does not explicitly define `incapacity and proved misbehaviour`, hence statement 2 is wrong. Thus, two statements under this option are incorrect.
Option 2 posits that only statement 3 is correct. While this is true, statement 4, which involves correctly stating the voting requirements for an impeachment motion, is also accurate, making this option partially correct.
Option 3 suggests that statements 3 & 4 are correct. This is indeed the correct answer, as Statement 3 explains accurately that the Judges (Inquiry) Act, 1968 outlines the process of impeachment and Statement 4 identifies the required backing for the motion in each House of Parliament.
Option 4 postulates that statements 1, 3 & 4 are correct. However, as already discussed, statement 1 is inaccurate. This disqualifies the entire option.