Final answer:
The organism with genotype qqrr can only produce the gamete type qr since it is homozygous recessive for both genes, meaning every gamete will have a 'q' and 'r' allele.
Step-by-step explanation:
An organism with the genotype qqrr can only produce one type of gamete with respect to these alleles. Since both genes are homozygous recessive (qq for one gene and rr for the other), the gametes produced must contain one allele from each homologous pair.
According to Mendel's law of segregation, each gamete will receive one allele from each gene, and because the organism in question is homozygous for both genes, this means that every gamete will get a 'q' from the first gene and an 'r' from the second gene. Therefore, the correct answer to the question is c) qr. Answers a) QR, b) Qr, and d) qR are not correct because the organism does not possess the alleles 'Q' or 'R'.