The correct statement regarding fats is that fats are needed for the formation of cell membrane. Fats play a crucial role in maintaining the structure and integrity of cell membranes. They provide stability and allow for proper function of the cells.

The other statements provided in the options are incorrect or incomplete.

Statement 2 states that fats help the body to absorb calcium from food. While fats do play a role in the absorption of certain vitamins, such as Vitamin D, they do not directly help with the absorption of calcium.

Statement 3 states that fats are required to repair damaged tissue. While it is true that fats are important for the repair and maintenance of cells and tissues, they are not the only nutrient required for this process. Proteins and other nutrients also play a vital role in tissue repair.

Statement 4 states that the body cannot release energy in fats as quickly as the energy in carbohydrates. This statement is incorrect. Fats are actually a more concentrated source of energy than carbohydrates and can be utilized by the body for long-term energy storage. However, it is true that carbohydrates are the primary source of quick energy for the body.

Therefore, option 1 is the correct answer as it states that only statement 1 is correct.