Within a prokaryotic cell, the site of glycolysis is :

cytoplasm

The correct answer is Option (3) –cytoplasm

The term glycolysis has originated from the Greek words, glycos for sugar, and lysis for splitting. The scheme of glycolysis was given by Gustav Embden, Otto Meyerhof, and J. Parnas, and is often referred to as the EMP pathway.

In anaerobic organisms, it is the only process in respiration. Glycolysis occurs in the cytoplasm of the cell and is present in all living organisms. In this process, glucose undergoes partial oxidation to form two molecules of pyruvic acid. In plants, this glucose is derived from sucrose, which is the end product of photosynthesis, or from storage carbohydrates. Sucrose is converted into glucose and fructose by the enzyme, invertase, and these two monosaccharides readily enter the glycolytic pathway.

All living organisms perform  some type of cellular respiration to collect and provide free energy for cellular functions, from tiny bacteria and yeast to large plants and mammals. Although photosynthesis and cellular respiration developed independently, they are now interconnected. During cellular respiration, oxygen and carbohydrates produced during photosynthesis are utilised. Likewise, photosynthesis makes use of CO2, a gas produced as a consequence of cellular respiration. The first route used to break down glucose and release free energy is glycolysis. Today, practically every living thing on Earth uses glycolysis, which most likely emerged as one of the original metabolic routes. It is significant to remember that both prokaryotic and eukaryotic cells experience glycolysis in the cytoplasm. (Remember that eukaryotic cells are the only ones with mitochondria.)