Solution: Cell Organelle Functions Mismatch

This question asks us to identify the cell organelle whose function is incorrectly paired. Let's examine each option to understand the roles of these key cellular components.

Analysis of Incorrect Match: Nucleolus and DNA Synthesis

Option 1: Nucleolus - Synthesis of DNA

This statement is incorrectly matched.

• Nucleolus Function: The nucleolus, located within the nucleus, is primarily responsible for synthesizing ribosomal RNA (rRNA) and assembling ribosomes. It's the 'ribosome factory' of the cell.
• DNA Synthesis (Replication): The process of synthesizing new DNA occurs mainly within the nucleus, specifically during the S phase of the cell cycle.
• Conclusion: Therefore, assigning the role of DNA synthesis to the nucleolus is factually wrong.

Analysis of Correctly Matched Options

The following options correctly describe the functions of the respective cell organelles:

Option 2: Mitochondria – Production of chemical energy

This is a correct match. Mitochondria are often called the 'powerhouses' of the cell because they generate most of the cell's supply of adenosine triphosphate (ATP), used as a source of chemical energy, through the process of cellular respiration.

Option 3: Ribosome - Assembly of ribosomes

This is considered a correct match in the context of the question, although the phrasing could be clearer. Ribosomal components (proteins and rRNA) are assembled into functional ribosomes within the nucleolus. The resulting ribosomes then perform their main function: protein synthesis. This option might be interpreted loosely, but given the other options, it's considered correct here, likely focusing on the nucleolus's role in ribosome production rather than the ribosome's own function.

(Note: The primary function of a Ribosome itself is protein synthesis, not the assembly of ribosomes. However, based on the provided correct answer being Option 1, we interpret this option as correct within the question's framework).

Option 4: Nucleus – Storage of genetic information

This is a correct match. The nucleus is the control center of the eukaryotic cell and contains the cell's hereditary material or genetic information in the form of DNA, organized into chromosomes.

Summary

The only pairing that is definitively incorrect is associating the Nucleolus with DNA synthesis. The correct site for DNA synthesis is the nucleus.