The two figures $A$ and $B$ given below represent which stages of cell division respectively?

Identify the correct statements: $(1)$ Synapsis occurs between homologous chromosomes during prophase $I$ of meiosis. $(2)$ Centromeres split during anaphase $I$ of meiosis. $(3)$ Spindle fibers completely disappear during telophase of mitosis. $(4)$ Nucleoli reappear during telophase $I$ of meiosis.

Which of the following statements are correct?
$I -$ Mitosis occurs in both haploid and diploid cells.
$II -$ Meiosis occurs in both haploid and diploid cells.
$III -$ Mitosis occurs only in haploid cells.
$IV -$ Mitosis occurs only in diploid cells.
$V -$ Meiosis occurs only in haploid cells.
$VI -$ Meiosis occurs only in diploid cells.

In which of the following does mitosis not occur?

Chromosomes become short,dense,and distinct,each chromosome consists of a centromere and two chromatids,and the nucleolus and nuclear envelope disappear. During which phase are these changes observed?

Identify the incorrect statement from the following.