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A fruit fly has a genotype NnCC
I. Nn
II. NC
III. Nc
IV. nC
V. CC
The offspring is most likely to inherited with the alleles,
A. I and V
B. I,II and III
C. II and IV
D. II,III,IV
E. I,II,III,IV,V

Answer
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Hint: Thomas Hunt Morgan, within the early 1900’s, used the heritable traits of a standard species of dipteron, pomace fly, to expand our understanding of genetics. Morgan was the primary to point out through experiments that genes were located on chromosomes. He also found that certain dipterous insect traits (e.g., white vs. red eye color) are found on the identical chromosomes that also determine their sex. Fruit flies have several characteristics that make them excellent subjects for genetic studies, as they: 1) are easily reared within the laboratory, 2) are prolific, 3) have a comparatively short life cycle (approximately two weeks), 4) have relatively prominent characteristics which will be utilized in sex determination, and 5) have fairly simple chromosome organization—3 pair of autosomal chromosomes and 1 pair of sex chromosomes

Complete answer:
Dihybrid crosses involve alleles for 2 separate traits that are found on different chromosomes. For instance, vestigial wings and rosy eyes are mutant recessive alleles found on Chromosome 2 and Chromosome 3, respectively. A typical cross can be made by pairing males that were homozygous for vestigial wings and rosy eyes with females that were homozygous wild type for both traits. This might be the P1 generation NnCC. Therefore it Inherited alleles have NC,nC,Nc,nc,CC.
Therefore from the above discussion it will be concluded that I,II,III and IV are feasible alleles.
So, the correct answer is “Option E”.

Additional Information:
The essential template of an organism’s genetic information is coded within the double-stranded DNA of its cells. In most prokaryotes the double-stranded DNA is circular and along with associated proteins frame a rather jumbled mass of one chromosome found within the cell’s nucleoid region (remember: prokaryotes lack a nuclear membrane). In eukaryotes the DNA and associated protein exist in discrete chromosomes that are enclosed within the cell’s nucleus. Often the chromosomes are paired—that is, each includes a homologue, having identical size, shape, and genes coding for the identical forms of traits. Eukaryotic cells are often haploid (n), diploid (2n), triploid (3n), or polyploid (>3n) looking at the quantity of homologues for every chromosome. Diploid cells have paired chromosomes—one homologue of the pair was obtained from the begetter and also the other from the feminine parent—whereas, they're unpaired in haploid cells. For triploid cells, each chromosome type has two other homologues, and polyploid cells have multiple homologues for every chromosome

Note: Traits found on the sex-determining chromosomes are sex-linked. Because fruit flies have an X-Y sex determination system the same as humans, a rather different notation form is mostly accustomed keep track of sex-linked traits in a very Punnett square, etc. Here we not only must keep track of the alleles, but also the sex chromosomes