These activities are characteristics of peroxisomes: Catalase activity, Possess a glyoxylate cycle, Degradation of very long chain fatty acids, Produce dihydrogen

The correct option is first and third.

Peroxisomes are specialized, membrane-bound organelles found in eukaryotic cells that contain enzymes involved in a variety of metabolic reactions, particularly energy metabolism. Here is a step-by-step breakdown of the listed activities:

1. Catalase activity (First): Peroxisomes contain flavin-containing oxidases that use molecular oxygen to oxidize organic substrates, producing hydrogen peroxide (H₂O₂) as a byproduct. Because hydrogen peroxide is highly reactive and toxic to cells, peroxisomes contain large amounts of the enzyme catalase to rapidly degrade H₂O₂ into water (H₂O) and oxygen (O₂). Therefore, catalase activity is a fundamental characteristic of peroxisomes.

2. Possess a glyoxylate cycle (Second): The glyoxylate cycle is a metabolic pathway that converts lipids into carbohydrates. While this cycle occurs in specialized peroxisomes called glyoxysomes in germinating plant seeds and fungi, it does not occur in animal peroxisomes. Hence, it is not a general characteristic of all peroxisomes.

3. Degradation of very long chain fatty acids (Third): Peroxisomes are the essential site for the initiation of β-oxidation of very long-chain fatty acids (VLCFAs, which typically contain 22 or more carbon atoms). Mitochondria cannot oxidize these VLCFAs directly, so peroxisomes must shorten them before they can be completely degraded in the mitochondria. Thus, this is a key characteristic of peroxisomes.

4. Produce dihydrogen (Fourth): Peroxisomes do not produce dihydrogen gas (H₂). Instead, they produce hydrogen peroxide (H₂O₂).

Based on this analysis, the correct characteristics of peroxisomes are the first and third activities.