Mendelian Genetics
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AP Biology › Mendelian Genetics
In corn, smooth kernels (K) are completely dominant to wrinkled kernels (k). A plant with smooth kernels is self-fertilized, and the offspring show a 3 smooth : 1 wrinkled phenotype ratio. Assume one autosomal gene with complete dominance and no linkage to other genes. Which genotype must the parent plant have had?
Which parental genotype is required to produce a $3:1$ smooth-to-wrinkled ratio by self-crossing?
Kk
Kk or kk
kk
KK
KK or Kk
Explanation
This question tests Mendelian inheritance analysis, requiring inference of parental genotype from self-cross offspring ratios. The 3:1 smooth-to-wrinkled ratio indicates the parent is heterozygous Kk, as self-fertilization (Kk x Kk) produces KK, Kk, and kk genotypes. Alleles segregate equally into gametes, yielding 1/4 KK, 1/2 Kk (smooth), and 1/4 kk (wrinkled), for a 3:1 phenotypic ratio. This fits because only a heterozygote can produce both dominant and recessive phenotypes in that proportion. A tempting distractor is KK or Kk, which might stem from thinking homozygotes could yield recessives, ignoring that KK self-cross gives all smooth. For inheritance questions, work backward from ratios to parental genotypes using standard Mendelian patterns like 3:1 for heterozygote self-crosses.
In snapdragons, tall stems (T) are completely dominant to short stems (t). A tall plant of unknown genotype is crossed with a short plant (tt). In the offspring, 48 plants are tall and 52 plants are short. Assume random fertilization and a single gene with complete dominance. Which genotype is most likely for the tall parent?
tt
TT
Either TT or Tt in a 3:1 ratio
Tt
Either TT or tt
Explanation
This question tests the skill of analyzing Mendelian inheritance patterns. The cross between a tall snapdragon of unknown genotype and a short one (tt) yields approximately equal numbers of tall and short offspring, indicating a 1:1 phenotypic ratio. This ratio suggests the tall parent is heterozygous (Tt), as it produces gametes with 1/2 T and 1/2 t, combining with the t gametes from the short parent to give Tt and tt equally. If the tall parent were homozygous (TT), all offspring would be tall, but the observed data matches the segregation expected from a heterozygous parent. A tempting distractor is TT, which might arise from the misconception that dominant phenotypes always indicate homozygous genotypes without considering test cross results. To solve similar inheritance questions, use test crosses with recessive individuals to reveal unknown genotypes through offspring ratios.
In fruit flies, red eyes (R) are completely dominant to sepia eyes (r). Two red-eyed flies are crossed, and both are known to be heterozygous (Rr × Rr). Each fly produces gametes carrying one allele, and fertilization is random. Assume a single gene controls eye color with complete dominance. Which genotype ratio is expected among the offspring?
3 Rr : 1 rr
3 RR : 1 rr
1 Rr : 1 rr
1 RR : 2 Rr : 1 rr
All Rr
Explanation
This question tests the skill of analyzing Mendelian inheritance patterns. In the cross between two heterozygous red-eyed fruit flies (Rr × Rr), each parent produces gametes with 1/2 R and 1/2 r alleles due to independent segregation. The Punnett square reveals offspring genotypes of RR, Rr, and rr in a 1:2:1 ratio, directly reflecting the combination of alleles from random fertilization. This classic monohybrid ratio confirms the expected genotypic distribution. A tempting distractor is 3 RR : 1 rr, which might stem from the misconception of equating genotypic ratios with phenotypic ones by ignoring the heterozygous category. To solve similar inheritance questions, calculate genotypic ratios using Punnett squares and distinguish them from phenotypic ratios based on dominance.
In rabbits, long ears (L) are completely dominant to short ears (l). A breeder crosses a homozygous dominant rabbit (LL) with a heterozygous rabbit (Ll). Each offspring inherits one allele from each parent, and the gene shows complete dominance. Which proportion of offspring is expected to be heterozygous (Ll)?
No offspring
$\tfrac{1}{4}$
$\tfrac{3}{4}$
$\tfrac{1}{2}$
All offspring
Explanation
This question tests the skill of analyzing Mendelian inheritance patterns. In the cross between a homozygous dominant long-eared rabbit (LL) and a heterozygous one (Ll), the LL parent produces only L gametes, while the Ll parent produces 1/2 L and 1/2 l. Offspring genotypes are LL from L + L combinations and Ll from L + l, each occurring with 1/2 probability due to segregation. Therefore, half of the offspring are expected to be heterozygous (Ll), as the recessive allele appears in half the gametes from the heterozygous parent. A tempting distractor is 3/4, which could arise from the misconception of applying a monohybrid ratio without accounting for one parent's homozygosity. To solve similar inheritance questions, identify gamete probabilities for each parent and use them to compute specific genotypic proportions.
In dogs, curly fur (C) is completely dominant to straight fur (c), and black coat color (B) is completely dominant to brown coat color (b). Two dogs with genotypes CcBb are crossed (CcBb × CcBb), and the genes assort independently. Assume complete dominance for both traits. Which proportion of offspring is expected to show straight fur and brown coat?
$\tfrac{3}{16}$
$\tfrac{1}{8}$
$\tfrac{9}{16}$
$\tfrac{1}{4}$
$\tfrac{1}{16}$
Explanation
This question tests the skill of analyzing Mendelian inheritance patterns. In the dihybrid cross between two CcBb dogs (CcBb × CcBb), each trait follows monohybrid segregation: 1/4 cc for straight fur and 1/4 bb for brown coat. Since the genes assort independently, the combined probability for both recessive phenotypes (cc and bb) is 1/4 × 1/4 = 1/16. This reflects the random combination of alleles during fertilization for unlinked genes. A tempting distractor is 9/16, which could stem from the misconception of calculating the dominant phenotype ratio instead of the double recessive one. To solve similar inheritance questions, break down dihybrid crosses into monohybrid components and multiply probabilities for independent events.
In corn, smooth kernels (S) are completely dominant to wrinkled kernels (s). A plant with genotype SS is crossed with a plant with genotype ss. Each offspring receives one allele from each parent. Assume a single gene controls kernel texture and inheritance is Mendelian with complete dominance. Which outcome is expected among the offspring?
All offspring are wrinkled (ss)
$\tfrac{1}{2}$ smooth and $\tfrac{1}{2}$ wrinkled
$\tfrac{3}{4}$ smooth and $\tfrac{1}{4}$ wrinkled
All offspring are smooth (SS)
All offspring are smooth (Ss)
Explanation
This question tests the skill of analyzing Mendelian inheritance patterns. In the cross between a homozygous smooth-kernel corn plant (SS) and a homozygous wrinkled one (ss), the SS parent produces only S gametes, while the ss parent produces only s gametes. All offspring receive one S and one s allele, resulting in the heterozygous Ss genotype, which expresses the dominant smooth phenotype due to complete dominance. Thus, all offspring are expected to have smooth kernels, as no homozygous recessive combinations occur. A tempting distractor is 3/4 smooth and 1/4 wrinkled, which could come from the misconception of assuming both parents are heterozygous like in a monohybrid cross. To solve similar inheritance questions, determine gamete types from each parent's genotype and predict outcomes using principles of dominance and segregation.
In a plant, red petals (R) are completely dominant to white petals (r), and round seeds (S) are completely dominant to wrinkled seeds (s). A plant heterozygous for both traits (RrSs) is testcrossed with a plant homozygous recessive for both traits (rrss). Assume independent assortment. Which proportion of offspring is expected to have white petals and wrinkled seeds?
1/16
1/8
1/4
1/2
3/4
Explanation
This problem tests understanding of dihybrid testcrosses using Mendelian genetics with independent assortment. In RrSs × rrss, the heterozygous parent produces four gamete types (RS, Rs, rS, rs) in equal proportions (1/4 each), while the homozygous recessive parent only produces rs gametes. The offspring genotypes are RrSs, Rrss, rrSs, and rrss, each occurring at 1/4 frequency. The rrss offspring (white petals, wrinkled seeds) represent 1/4 of the total. A common mistake is multiplying 1/2 × 1/2 to get 1/4, which works here but for the wrong reason—in testcrosses, offspring ratios directly reflect the heterozygous parent's gamete ratios. For dihybrid testcrosses, each phenotype class appears at 1/4 frequency when genes assort independently.
In pea plants, purple flowers (P) are completely dominant to white (p). A plant with purple flowers that is heterozygous (Pp) is crossed with a white-flowered plant (pp). Each offspring receives one allele for flower color from each parent. Assuming Mendelian segregation and no linkage to other traits, the offspring phenotypes depend only on whether they inherit at least one P allele. Which proportion of offspring is expected to have white flowers?
Three-fourths of offspring will have white flowers
No offspring will have white flowers
One-half of offspring will have white flowers
One-fourth of offspring will have white flowers
All offspring will have white flowers
Explanation
This question tests your ability to predict offspring phenotypes using Mendelian inheritance principles. In this cross between Pp (purple) × pp (white), the heterozygous parent produces two types of gametes: P and p in equal proportions, while the homozygous recessive parent only produces p gametes. The possible offspring genotypes are Pp (purple) and pp (white), each occurring with 50% probability since half the gametes from the Pp parent carry p. Therefore, one-half of offspring will have white flowers (pp genotype). A common error is thinking all offspring will be white because one parent is white, but this ignores that the Pp parent contributes a dominant P allele half the time. When solving inheritance problems, always construct a Punnett square to systematically track all possible gamete combinations.
In pea plants, purple flowers (P) are completely dominant to white flowers (p). A gardener crosses two purple-flowered plants and records that some offspring have white flowers. The gardener concludes both parents must carry the recessive allele. Assume the trait is controlled by a single gene and that fertilization is random among gametes. Which proportion of offspring from this cross is expected to have white flowers?
$\tfrac{1}{2}$
1
$\tfrac{3}{4}$
$\tfrac{1}{4}$
0
Explanation
This question tests your ability to analyze Mendelian inheritance patterns and predict offspring ratios from a monohybrid cross. Since both purple-flowered parents produced some white-flowered offspring (pp), each parent must carry at least one recessive p allele, making both parents heterozygous (Pp). When crossing Pp × Pp, each parent produces gametes with P or p in equal proportions, resulting in offspring genotypes of 1 PP : 2 Pp : 1 pp. Since only pp individuals have white flowers, the expected proportion is 1/4 or 25% white-flowered offspring. Students often mistakenly think that if both parents show the dominant phenotype, all offspring must also show it, forgetting that heterozygous parents can produce homozygous recessive offspring. To solve inheritance problems, always determine parental genotypes from the given information, then use a Punnett square to predict offspring ratios.
In a flowering plant, axial flowers (A) are completely dominant to terminal flowers (a). A heterozygous axial plant (Aa) is self-crossed. Assume the trait is controlled by a single gene with complete dominance. Which proportion of offspring is expected to be terminal-flowered?
$\tfrac{1}{4}$
$\tfrac{3}{4}$
$\tfrac{1}{2}$
1
0
Explanation
This question involves analyzing Mendelian inheritance in a self-cross of a heterozygous individual. When a heterozygous axial plant (Aa) self-crosses, it's equivalent to Aa × Aa, where each parent produces A and a gametes in equal proportions. The Punnett square yields offspring genotypes of 1 AA : 2 Aa : 1 aa, creating the classic 1:2:1 genotypic ratio. Since terminal flowers only appear in homozygous recessive (aa) individuals, and aa represents 1/4 of the offspring, the expected proportion of terminal-flowered plants is 1/4 or 25%. Students sometimes confuse self-crossing with producing offspring identical to the parent, but heterozygous self-crosses segregate into multiple genotypes following Mendel's laws. To solve self-cross problems, treat them as standard crosses between two individuals with identical genotypes.