Of these options, the only one that is true is Option A. All the other options contain false statements.
Option B says that Buddhism began in Japan. This is incorrect. Buddhism actually began in India. The Buddha was an Indian man named Siddhartha Gautama. He achieved enlightenment in India and that is where Buddhism was first prevalent.
Option C says having good karma gets you to heaven. It is more correct to say Buddhists believe good karma lets you achieve nirvana. Nirvana is not a physical place like heaven is supposed to be. Instead, nirvana is more of a state of being.
Option D says there is only one branch of Buddhism, but this is not true. Buddhism has numerous branches. Among these are Theravada, Mahayana, and Vajrayana.
By contrast, option A is correct. It says Buddhism teaches desire is the root of suffering. Buddhism does in fact hold that we suffer in our lives because we want things. We suffer because we want what we do not have and worry about losing what we do have. Buddhists' goal is to put all desire aside to break free from suffering.
Thus, Option A is the correct answer.