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Nerve cells do not divide as they lack
A. Nucleus
B. Golgi body
C. Mitochondria
D. Centrosome

Answer
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Hint:
The organelle is the key to the cell division and the spindle fibres which are required in the metaphase of the meiosis is also provided by this organelle.

Complete answer:
First of all, you should know what nerve cells are. Nerve cells are also known as neurons. These are the cells which are present in the nervous system and these cells function to process and transmit information.
Centrosomes are the organelles which play an important role in cell division and the spindle fibres that are required during the metaphase of mitosis are produced by the centrosomes. There is a presence of two centrioles which are located at the right angle to each other. There is absence of centrioles in the nerve cells and because of this they are unable to perform mitosis and meiosis and hence these cells do not divide. But nerve cells get longer without dividing and they do not divide during their lifetime.
If we look at other options, nerve cells contain nucleus, golgi body and mitochondria too. So, you can clearly solve this question if you know what nerve cells do not contain. So, there is absence of centrosomes in nerve cells due to which they do not divide and all the other organelles given in the options are present.

Thus, the correct answer is option D. i.e., Centrosome.

Note: The mitotic activity is absent in the nerve cells and lack of mitotic activity indicates the absence of centrosome. Therefore, nerve cells cannot divide. Centrioles present in the centrosome play this role of division of cells and there is presence of two centrioles in each centrosome. Hence, the answer is clear from all the options given.