Final answer:
The assertion that Buddha, Jesus, and Muhammad lived around the same time is false; they lived in significantly different historical periods. The given statement is false.
Step-by-step explanation:
The statement that Buddha, Jesus, and Muhammad all lived about the same time between 150 B.C.E.-20 C.E. is false. Buddha, or Siddhartha Gautama, is believed to have lived around 500 B.C.E. and achieved enlightenment after a period of ascetic practice, thereafter founding Buddhism.
Jesus is generally believed to have lived approximately between 4 B.C.E. and 30/33 C.E. In contrast, Muhammad, the prophet of Islam, lived much later, around 570 C.E. to 632 C.E. Therefore, these three religious figures lived during distinctly different historical periods.