Explanation:

Fragment A: Parliament is not competing to

Competing is incorrect as the statement talks about competency of the Parliament to indulge in certain acts.

Correct: Parliament is not competent to

Fragment B: enacts any law which is inconsistent

Here, the error is with respect to subject-verb disagreement.

Correct: enact any law which is inconsistent

Fragment C: with a fundamental rights

Specific rights are being spoken about here and thus, article ‘the’ would be used.

Correct: with the fundamental rights

Correct: Parliament is not competent to enact any law which is inconsistent with the fundamental rights enshrined in Part III of the Constitution.

Hence, option C is correct.