The statement "All organisms appeared on Earth at the same time and remained unchanged throughout history." is just a saying, it does not have any scientific evidence.
And in above option,
'A' shows about scienticific data but there is no any science in statement.
'C' shows Mendel's work with pea plant which is a scientific experiment.
'D' shows Lamarck's idea which is also based ob science.
Therefore, the answer is religious beliefs