This question is a little tricky and depends entirely on the definition of when something is officially a chromosome. A sister chromatid is not officially considered a chromosome until being separated from its partner.

During metaphase I, the homologous chromosomes have yet to separate, so ploidy is still 2n (diploid). Statement IV is false.

During telophase I, the homologous chromosomes have separated and the nuclear envelopes have reformed, effectively forming two haploid nuclei during telophase I. Statement I is true.

During metaphase II, the sister chromatids are still attached, so the cells are still haploid. Statement II is true.

During anaphase II, however, immediately after the sister chromatids are separated they are now considered individual chromosomes. This effectively increases ploidy back to 2n until the nuclear envelopes reform. Statement III is false.

For this question it is important to know the distinction between the genetic material being separated in meiosis I versus meiosis II. During meiosis I homologous chromosomes are separated, and during meiosis II sister chromatids are separated. Reduction of ploidy therefore occurs during telophase I, after the nuclear envelope reforms (due to the segregation of homologous chromosomes). During anaphase I there are technically still 46 chromosomes in the cell, even though each contains two sister chromatids and have been pulled to different regions of the cell. The total amount of genetic material has not changed.

Note that during anaphase of meiosis II ploidy is also at 46 chromosomes. At this point, sister chromatids have been separated from each of the 23 chromosomes present, resulting in 46 separate genetic units. The cell is still considered haploid, since the homologous chromosomes are not present.

Meiosis has many key differences from mitosis, despite the fact that both are used to divide a parent cell into daughter cells. One of the main differences is that meiosis involves the separation of homologous chromosomes, which halves the chromosome number in the daughter cells. This event does not take place in mitosis, because both daughter cells are are still diploid following division. 

Meiosis results in genetically unique daughter cells due to the event of crossing over and the phenomenon of independent assortment. Crossing over takes place during prophase I when the homologous chromosomes come in contact with each other to form tetrads.

During anaphase I, spindle fibers form and homologous chromosomes (each consisting of two chromatids) move toward opposite poles of the cell. During anaphase II, sister chromatids separate at their centromeres and are pulled toward opposite poles of the cell. Synapsis happens during prophase I, not anaphase I, as chromosomes condense and homologs align.

Gametes are the types of cells produced by meiosis. For example, a mature spermatozoan is a type of gamete. Adult cells are diploid, and through meiosis, gametes are haploid. Therefore, gametes have half of the genetic material of a mature cell. Thus, a gamete would be reflected with 0.5X as the amount of genetic material.