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Name: Date: Title: Problem Solving Techniques. Introduction. The best way to determine whether you understand the concepts of genetics is to solve problems. The following information may be helpful to you. Genetics problems are almost invariably word problems. The first step is to translate the word problem into genetic terminology, carefully defining any symbols being used. Once this has been done, solving the problem is usually routine. Complete knowledge of the mode of inheritance of certain traits requires that you be able to answer the following questions: (1) How many loci are involved? (2) How many alleles are there for each locus? (3) What are the dominance relationships between the alleles? (4) Are any of the alleles recessive lethals? (5) If multiple loci are involved, how do they interact? (6) If multiple loci are involved, what are their linkage arrangements? (7) What is the mode of sex determination in the species? (8) Are any of the loci sex linked? (9) What are the genotypes of the individuals listed in the problem? A good first step in problem solving is to determine which of the above points are known. This will help you to organize the information that you have, and clarify what you need to find out. Try the following problems. Ask if you need help. Genetics Laboratory 04.1 (1) Two black female rats were crossed with a brown male. Several litters were obtained from each female. The first female produced thirty six black rats; the second produced fourteen black and ten brown progeny. What is the likely mode of inheritance of black and brown coat colour in rats? What are the genotypes of the parents? (2) In poultry, rose comb is dominant over single comb. A farmer believes that some of his rose-combed fowl may carry an allele for single comb. How could he find out which fowl are heterozygous? (3) Huntington's disorder causes progressive irreversible degeneration of the nervous system, leading to death. Symptoms usually do not appear until middle age. The disease shows autosomal dominant inheritance. A man is dying from Huntington's disorder. What are the chances that his fourteen year old daughter will suffer the same fate, given that three of her grandparents are alive (the fourth died in a boating accident)? (4) A form of peroneal muscular atrophy consists of gradual wasting of the distal muscles of the limbs, starting between the ages of ten and twenty. Pedigrees show that a person never has this type of peroneal muscular atrophy unless one of the parents also had it. What is the likely mode of inheritance of this condition? (5) In cattle the heterozygous condition of the alleles for red coat colour (R) and white coat colour (r) is roan coat colour. If two roan cattle are mated, what proportion of the progeny will resemble the parents in coat colour? (6) Can the following children be produced from the following parents? Parent’s Blood Types A and A A and B A and O A and AB B and AB Child’s Blood Type O O AB O A Genetics Laboratory 04.2 (7) Colour-blindness is a sex-linked trait in humans. Two people with normal vision have four children. The first is a daughter who has normal vision. She has three sons, two of whom are colourblind. The second is a daughter who has normal vision. She has five sons, all of whom have normal vision. The third is a son who is colour-blind. He has two daughters and two sons, all of whom have normal vision. The fourth is a son who has normal vision. He has four sons, all of whom have normal vision. What are the most probable genotypes of all of the individuals described? (8) A rooster is heterozygous for a sex-linked recessive lethal allele. What ratio of males to females will be produced when he is crossed with normal females? (9) In guinea pigs, black coat (B) is dominant to albino (b), and rough coat (R) is dominant over smooth coat (r). The genes B and R are unlinked. When a cross is made between a homozygous black rough animal and an albino smooth one, what will be the appearance of the F1 and F2 generations? What will be the appearance of the offspring of a cross between the F1 generation and an albino smooth parent? (10) A black rough guinea pig is crossed with an albino rough one. The progeny consist of thirteen black rough, sixteen albino rough, six black smooth, and 5 albino smooth. Identify the genotypes of the parents. Genetics Laboratory 04.3 (11) In sesame, one-pod is dominant over three-pod, and normal leaf is dominant over wrinkled leaf. The two characters are inherited independently. What are the genotypes of the two parents in each of the five experiments listed below? Parental Phenotypes a) one-pod normal x b) three-pod normal c) one-pod normal x d) three-pod wrinkled e) one-pod wrinkled x f) three-pod normal g) one-pod normal x h) three-pod normal i) one-pod normal x j) one-pod wrinkled one-pod normal Progeny Phenotypes one-pod three-pod wrinkled normal three-pod wrinkled 362 118 0 0 211 0 205 0 78 90 84 88 318 98 323 104 110 113 33 38 (12) In Drosophila, the recessive allele of an autosomal gene (vg) results in vestigial wings. The recessive allele of an X-linked gene (y) results in a yellow body colour. If a vestigial-winged, yellow-bodied female is crossed to a homozygous normal male, what will be the appearance of the F1 and F2 generations? (13) A plant heterozygous for four independently assorting gene pairs (Aa Bb Cc Dd) is selffertilized. Determine the expected frequency for each of the following genotypes in the progeny. a) aa bb cc dd b) aa bb Cc Dd c) Aa Bb Cc Dd Genetics Laboratory 04.4 (14) A locus in mice is concerned with coat pigment production. When parents heterozygous at this locus are mated, 75% of the progeny are coloured and 25% are albino. A second unlinked locus controls coat colour. When two yellow mice are mated, 67% of the progeny are yellow, and 33% are agouti. Analysis of the progeny of dihybrid crosses indicates that the albino genotype is epistatic to the agouti locus. Yellow mice are crossed with albino mice. The progeny are 50% albino, 33% yellow, and 17% agouti. What are the genotypes of the parents? (15) An allele (ce) of the gene for albinism in mice produces a white coat when homozygous. The p allele of a gene affecting eye colour produces pink eyes when homozygous. Mice of the genotype cep+/c+p are testcrossed with mice homozygous for the two mutations. The progeny obtained are shown below. Phenotype dark coat, pink eyes white coat, dark eyes dark coat, dark eyes white coat, pink eyes Number 274 240 34 31 Calculate the map distance and crossover frequency between the two genes. (16) Two loci, a and b, are separated by 15 map units. What is the expected frequency of progeny of normal phenotype from a testcross involving an a+b /a b+ parent? (17) In Drosophila, the gene clot (cl) affects eye colour, the recessive allele producing a brown eye. Similarly, the recessive allele of the gene safranin (sf) also produces a brown eye colour. Flies homozygous for the recessive clot allele, but otherwise of normal genotype, are mated with flies homozygous for the recessive safranin allele, which are also otherwise of normal genotype. The progeny are testcrossed with a double homozygous recessive strain. The results are shown below. Phenotype brown eyes wild-type eyes Number 73 27 Are the two genes linked? Genetics Laboratory 04.5 (18) The gene clot is mapped with respect to the gene crinkled (ck) in a similar experiment to that described above. Phenotype crinkled clot wild-type clot and crinkled Number 340 300 183 182 Finally, the gene safranin is also mapped with respect to the gene crinkled. Phenotype crinkled safranin crinkled and safranin wild-type Number 430 400 93 92 Are any of the three genes linked? If so, what is the order of the genes and what are the map distances between the loci? (19) Antennapedia (Antp) is a dominant mutation in Drosophila that changes antennae into legs. rosy (ry) is a recessive eye-colour mutation. Stubble (Sb) is a dominant mutation that causes short bristles. Antp ry+Sb+/Antp+ry Sb females are crossed with triply homozygous recessive males, and the progeny classes below obtained. Phenotype Antennapedia rosy, Stubble rosy Antennapedia, Stubble wild-type Antennapedia, rosy, Stubble Stubble Number 1140 1078 110 70 58 43 2 Determine gene order and map distances. Genetics Laboratory 04.6 (20) The Drosophila genes ebony (dark body colour), groucho (clumped bristles above eyes), and rosy (reddish-brown eye colour) are linked. A student was mapping the three loci. Unfortunately he forgot to record the parental genotypes. Undaunted, he took the F1 females, which were wild type, and crossed them with homozygous rosy, groucho, ebony flies. Phenotype ebony and rosy groucho ebony, groucho, and rosy ebony wild-type groucho and rosy rosy ebony and groucho Number 130 114 61 54 51 43 10 7 What is the genotype of the F1 flies? Determine the gene order and map distances between the loci. Genetics Laboratory 04.7