Viruses lack enzymes necessary for the generation of energy. This statement is correct. Viruses are obligate intracellular parasites and do not possess the cellular machinery required for generating energy on their own. They rely on host cells to replicate and produce new viral particles.
Viruses can be cultured in any synthetic medium. This statement is incorrect. Viruses require living host cells to replicate and cannot be cultured in synthetic media alone. They can only replicate within suitable host cells.
Viruses are transmitted from one organism to another by biological vectors only. This statement is incorrect. While some viruses are transmitted through biological vectors (e.g., mosquitoes transmitting the dengue virus), not all virus transmissions rely on vectors. Viruses can also spread through direct contact, respiratory droplets, contaminated surfaces, and other means.
So, the correct answer is a) 1 only.