Final answer:
The possible offspring genotype(s) when genes H, T, and Q are located close to each other on the same chromosome and independent assortment does not occur is Hh Tt Qq.
Step-by-step explanation:
When two genes are located in close proximity on the same chromosome, they are considered linked, and their alleles tend to be transmitted through meiosis together. In this case, the mother has alleles H T Q on one chromosome and alleles h t q on the other chromosome. The father is homozygous for h t q. Since independent assortment does not occur, the possible offspring genotype(s) would be Hh Tt Qq (option B).