Q.All genes located on the same chromosome:
Concept understanding — Dihybrid Cross Ratio
Let’s begin with something you already know from everyday life. Think about a family where the parents have two different traits — say, one parent has curly hair and brown eyes, the other has straight hair and blue eyes. Their children might inherit any combination: curly hair with brown eyes, straight hair with blue eyes, curly hair with blue eyes, or straight hair with brown eyes. You can see that traits don’t always travel together; they can mix and match.
That mixing is exactly what a dihybrid cross is about. In biology, a dihybrid cross is a breeding experiment that tracks two different traits at the same time — for example, seed shape (round vs wrinkled) and seed colour (yellow vs green) in pea plants. The “dihybrid cross ratio” is the predictable pattern in which these two traits appear in the offspring when both parents are hybrid (carrying one dominant and one recessive version) for both traits.
The classic result, as stated in the NCERT textbook, is a 9:3:3:1 ratio in the second generation. That means:
- 9 out of 16 offspring show both dominant traits (e.g., round and yellow)
- 3 out of 16 show the first dominant trait and the second recessive trait (e.g., round and green)
- 3 out of 16 show the first recessive trait and the second dominant trait (e.g., wrinkled and yellow)
- 1 out of 16 shows both recessive traits (e.g., wrinkled and green)
The 9:3:3:1 ratio is not a random outcome. It is the direct consequence of independent assortment — the principle that genes for different traits are inherited independently of one another. This is one of Mendel’s key laws, and the ratio is its visible proof.
Why does this matter for a commerce or humanities student? Because this ratio is a classic example of probability in action. It shows how combinations of independent events produce predictable patterns — the same logic that underlies risk assessment in insurance, portfolio diversification in finance, or even the likelihood of certain combinations in a game of cards. You don’t need to calculate anything; you just need to see that nature follows rules, and those rules can be expressed as simple proportions.
The NCERT textbook presents this ratio as the foundation for understanding how traits are inherited when more than one characteristic is involved. It is not about memorising numbers — it is about recognising that variation is not chaos. There is order in how traits combine, and that order is what the dihybrid cross ratio captures.
In the CBSE Class 12 Biology syllabus, the dihybrid cross ratio is taught as part of Mendel’s experiments. The focus is on understanding the principle of independent assortment, not on solving problems. For a humanities student, the key takeaway is that this ratio demonstrates how two independent events (inheritance of two traits) can be predicted using simple probability — a concept that appears in economics, statistics, and even decision-making.
The dihybrid cross ratio is one of the most exam-relevant numbers in genetics, regularly appearing in searches like "dihybrid cross 9:3:3:1 ratio explained" and "dihybrid cross important questions class 12 biology." It is directly aligned with the NCERT Class 12 Biology curriculum on Mendelian inheritance and is a recurring favourite in both CBSE board papers and NEET biology sections.
Genes that are physically located on the same chromosome are referred to as linked genes. These genes tend to be inherited together because they are part of the same physical structure and do not assort independently during meiosis. All the genes present on a single chromosome collectively form what is known as a linkage group. Consequently, an organism possesses a number of linkage groups equal to its haploid number of chromosomes. The presence of linkage prevents the independent assortment of genes, leading to deviations from the standard Mendelian dihybrid cross phenotypic ratio of 9:3:3:1.
All genes located on the same chromosome form one linkage group.
All genes located on the same chromosome form a single linkage group because they are physically associated on that particular chromosome.
To understand why all genes located on the same chromosome form one linkage group, we first need to recall the fundamental principles of heredity and the physical basis of inheritance. Genes, the units of heredity, are located on chromosomes, which are thread-like structures found within the nucleus of eukaryotic cells. During sexual reproduction, chromosomes are passed from parents to offspring, carrying with them the genetic information.
Mendel's law of independent assortment states that alleles of different genes assort independently of one another during gamete formation. This principle holds true when genes are located on different chromosomes, or when they are very far apart on the same chromosome. However, early 20th-century geneticists, notably T.H. Morgan working with fruit flies (Drosophila melanogaster), observed deviations from this expected independent assortment for certain traits.
Morgan's experiments revealed that when genes are located on the same chromosome, they tend to be inherited together. This phenomenon is called linkage. Linkage occurs because the genes are physically connected on the same DNA molecule that makes up the chromosome. The closer two genes are on a chromosome, the stronger their linkage, meaning they are less likely to be separated during the process of crossing over (recombination) in meiosis.
Linkage is the physical association of genes on a chromosome, leading to their co-inheritance.
A linkage group is defined as all the genes located on a single chromosome. Since an organism inherits a set of chromosomes, all the genes present on any given chromosome are considered part of that chromosome's linkage group. For example, in humans, there are 23 pairs of chromosomes (22 autosomes and 1 pair of sex chromosomes). Therefore, humans have 23 linkage groups, corresponding to the haploid number of chromosomes. All the genes on chromosome 1 form one linkage group, all the genes on chromosome 2 form another, and so on.
Considering the options:
- (A) Form different groups depending upon their relative distance: While the frequency of recombination between genes within a linkage group depends on their relative distance, the genes still belong to the same linkage group. Distance affects how often they separate, not whether they are part of the same fundamental group.
- (B) Form one linkage group: This is the correct definition. All genes physically located on a single chromosome constitute one linkage group.
- (C) Will not form any linkage groups: This is incorrect. The very presence of genes on a chromosome implies they are part of a linkage group.
- (D) Form interactive groups that affect the phenotype: Genes certainly interact and affect phenotype, but "interactive groups" is not the specific genetic term for genes located on the same chromosome. The precise term is "linkage group."
In short, all genes located on the same chromosome form one linkage group because a linkage group is defined as the collection of all genes physically present on a single chromosome.
For this kind of definitional MCQ, eliminate options by checking each against the definition of a linkage group (all genes on one chromosome, inherited together): option (a) is wrong because relative distance affects HOW OFTEN genes recombine, not whether they belong to the same group; (c) is wrong because genes on a chromosome are, by definition, linked to some degree; (d) invents a term ('interactive groups') that doesn't exist in this context — leaving (b) as the only definition-consistent choice.
- KCET 2025Set C-41 markMCQQ.When a single gene exhibits multiple phenotypic expression, the phenomenon is called ____ (A) Incomplete dominance (B) Pleiotropy (C) Co-dominance (D) Polygenic inheritance
›Reveal solutionSolution
Match the direction of the effect: one gene → many phenotypes is pleiotropy.
Step 1 — Read the direction of the arrow in the stem.
The stem says a single gene produces multiple phenotypic expressions. So we need the term for one gene → many traits.
Step 2 — Test each option.
- (A) Incomplete dominance — an allelic interaction at one locus for one trait: the heterozygote shows an intermediate phenotype (e.g. pink Mirabilis jalapa). One trait, not many.
- (B) Pleiotropy — a single gene influences several, often unrelated, phenotypic traits. Classic example: the gene for phenylketonuria causes mental retardation, reduced hair and skin pigmentation together; likewise sickle-cell anaemia affects RBC shape, oxygen transport and organ damage. ✓ This is exactly one gene → many phenotypes.
- (C) Co-dominance — again a single trait, where both alleles express fully (e.g. the AB blood group). Wrong direction.
- (D) Polygenic inheritance — many genes → one trait (e.g. human skin colour, height). This is the reverse of what the stem describes, which is why it is the tempting distractor.
Step 3 — Conclude.
Only pleiotropy describes a single gene with multiple phenotypic effects.
✓Final answerThe correct option is (B) — Pleiotropy.
ANSWER: B
- KCET 2024Set B-41 markMCQQ.The genotype ratio of incomplete dominance is (A) 3:1 (B) 1:2:1 (C) 1:1:2 (D) 9:3:3:1
›Reveal solutionSolution
A monohybrid F2 genotypic ratio is always 1:2:1; in incomplete dominance the phenotypic ratio also becomes 1:2:1 because the heterozygote looks different from both homozygotes.
Step 1 — The classic example: Mirabilis jalapa (four o'clock plant)
Red (RR)×White (rr)
F1: all Rr — and these are pink, not red. The heterozygote does not resemble either parent; it is intermediate. This is incomplete dominance: the dominant allele's product is not enough on its own to give the full phenotype.
Step 2 — Self the F1 and build the Punnett square
Rr×Rr
R r R RR Rr r Rr rr Step 3 — Read off the two ratios
Genotypic ratio:
1RR:2Rr:1rr=1:2:1
Phenotypic ratio (incomplete dominance):
1 Red:2 Pink:1 White=1:2:1
The two ratios coincide, which is the hallmark of incomplete dominance. (Under complete dominance the genotypic ratio would still be 1:2:1, but the phenotypic ratio would collapse to 3:1 because RR and Rr look alike.)
Step 4 — Eliminate the other options
- (A) 3:1 — the phenotypic ratio of a monohybrid cross with complete dominance; not a genotypic ratio at all.
- (C) 1:1:2 — merely a scrambled version of 1:2:1; the heterozygote class must be the middle, doubled one.
- (D) 9:3:3:1 — the dihybrid F2 phenotypic ratio (two genes), not a monohybrid genotypic ratio.
✓Final answerThe correct option is (B) 1:2:1 — the genotypic ratio, which in incomplete dominance is also the phenotypic ratio.
ANSWER: B
- KCET 2024Set B-41 markMCQQ.In a dihybrid cross between a true breeding round yellow seeded and true breeding wrinkled green seeded pea plant, the ratio of segregation of round and wrinkled seed traits in F2 is (A) 9:1 (B) 3:1 (C) 9:3 (D) 3:3
›Reveal solutionSolution
Independent assortment means each gene of a dihybrid cross still gives a 3:1 F2 ratio on its own — so round : wrinkled =3:1.
Step 1 — Set up the cross
Let R = round (dominant), r = wrinkled; Y = yellow (dominant), y = green.
P:RRYY(round, yellow)×rryy(wrinkled, green)
F1:all RrYy⇒all round, yellow
Selfing the F1 gives the familiar F2 phenotypic ratio:
9 Round Yellow:3 Round Green:3 Wrinkled Yellow:1 Wrinkled Green
Step 2 — Read the question carefully
It does not ask for the four-class dihybrid ratio. It asks for "the ratio of segregation of round and wrinkled seed traits" — i.e. collapse the yellow/green distinction and look at seed shape alone.
Step 3 — Collapse the 9:3:3:1
Round=9+3=12Wrinkled=3+1=4
Round : Wrinkled=12:4=3:1
Step 4 — Why this had to be 3:1 (the concept)
This is Mendel's Law of Independent Assortment: the segregation of one pair of alleles is independent of the segregation of the other pair. Consequently, when you consider seed shape by itself, the dihybrid cross behaves exactly like a monohybrid cross:
Rr×Rr⟶1RR:2Rr:1rr⇒3 round:1 wrinkled
Indeed, the 9:3:3:1 is itself just the product of two independent 3:1 ratios:
(3:1)×(3:1)=9:3:3:1
Step 5 — Eliminate the other options
- (A) 9:1 — not a ratio produced by any Mendelian mechanism here.
- (C) 9:3 — this is just the round-yellow : round-green sub-ratio (which itself reduces to 3:1 for colour among round seeds), not round vs wrinkled.
- (D) 3:3 — the two middle classes of the dihybrid ratio; it equals 1:1 and is not a seed-shape ratio.
✓Final answerThe correct option is (B) 3:1 — round : wrinkled in the F2.
ANSWER: B
- KCET 2023Set B-41 markMCQQ.In one of the hybridisation experiments, a homozygous dominant parent and a homozygous recessive parent are crossed for a trait. (Plant shows Mendelian inheritance pattern) (A) Dominant parent trait appears in F2 generation and recessive parent trait appears only in F1 generation. (B) Dominant parent trait appears in F1 generation and recessive parent trait appears in F2 generation. (C) Dominant parent trait appears in both F1 & F2 generations, recessive parent trait appears in only F2 generation. (D) Dominant parent trait appears in F1 generation and recessive parent trait appears in F1 and F2 generations.
›Reveal solutionSolution
In a Mendelian monohybrid cross, the dominant trait is expressed in all F1 offspring and reappears in F2 along with the recessive trait, which is hidden in F1 but reappears in F2 in a 3:1 ratio. The correct option is (C).
The core idea here is dominance and segregation. Mendel’s first law tells us that when a homozygous dominant parent (say, TT) is crossed with a homozygous recessive parent (tt), the F1 generation inherits one allele from each parent — all offspring are Tt. Because the dominant allele (T) masks the recessive (t), every F1 plant shows the dominant trait. The recessive trait doesn’t vanish; it’s just hidden.
Now, when these F1 plants self-pollinate, the two alleles segregate during gamete formation. The F2 generation gets a mix: TT, Tt, and tt. The dominant trait appears in both TT and Tt plants, while the recessive trait appears only in tt plants. So in F2, both traits are visible — the dominant in about three-fourths of the offspring, the recessive in one-fourth.
Let’s walk through the options:
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Option (A) says the dominant trait appears in F2 and the recessive appears only in F1. That’s backwards — the recessive is absent in F1, not present. So (A) is wrong.
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Option (B) says the dominant appears in F1 and the recessive appears in F2. This is partially correct — the dominant does appear in F1, and the recessive does reappear in F2 — but it misses that the dominant also appears in F2. So (B) is incomplete and therefore incorrect.
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Option (C) says the dominant appears in both F1 and F2, and the recessive appears only in F2. This matches exactly what happens: dominant is visible in all F1 and in three-quarters of F2; recessive is hidden in F1 and reappears in F2. So (C) is correct.
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Option (D) says the dominant appears in F1 and the recessive appears in both F1 and F2. That’s false — the recessive does not appear in F1 at all. So (D) is wrong.
Watch outA common mistake is to think the recessive trait disappears forever. It doesn’t — it’s merely masked in F1 by the dominant allele and reappears when two recessive alleles come together in F2.
✓Final answerThe correct option is (C).
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- KCET 2023Set B-41 markMCQQ.Find the correct statement.(1) Generally a gene regulates a trait, but sometimes one gene has effect on multiple traits.(2) The trait AB-blood group of man is regulated by one dominant allele and another recessive allele. Hence it is co-dominant. (A) Both the Statements are wrong. (B) Statement(1) is correct. (C) Statement(2) is correct. (D) Both Statements(1) and(2) are correct.
›Reveal solutionSolution
(1) is a correct description of pleiotropy; (2) mis-defines co-dominance (in AB blood group both IA and IB are dominant, not one dominant + one recessive). So only Statement (1) is correct.
1. Evaluate Statement (1)
"Generally a gene regulates a trait, but sometimes one gene has effect on multiple traits."
This is exactly the definition of PLEIOTROPY — a single gene producing multiple phenotypic effects. The mechanism is that the gene affects an early step of a metabolic pathway, and every downstream trait that depends on that pathway is altered.
Standard examples:
- Phenylketonuria — a single gene defect (phenylalanine hydroxylase) causes mental retardation and reduced hair/skin pigmentation.
- Starch synthesis in pea seeds — one gene affects starch grain size and seed shape (round vs wrinkled).
So Statement (1) is CORRECT. ✓
2. Evaluate Statement (2)
"The trait AB-blood group of man is regulated by one dominant allele and another recessive allele. Hence it is co-dominant."
The conclusion (that AB is co-dominance) is right, but the reason given is wrong, so the statement as printed is false. Here is the correct picture.
The ABO gene I has three alleles: IA, IB and i (multiple allelism).
- IA and IB are BOTH DOMINANT over i;
- IA and IB are CO-DOMINANT with respect to each other — neither masks the other.
In genotype IAIB, both alleles are fully expressed: the red cell surface carries BOTH antigen A and antigen B, giving blood group AB. That simultaneous, complete expression of two dominant alleles is the definition of co-dominance.
If the pair really were "one dominant and one recessive", the recessive would simply be masked, and the phenotype would be that of the dominant alone (group A or group B) — the very opposite of co-dominance. Hence Statement (2) is WRONG as written. ✗
3. Commit
Statement (1) correct, Statement (2) wrong ⇒ option (B).
✓Final answerThe correct option is (B) — Statement (1) is correct.
ANSWER: B
- KCET 2021Set C-31 markMCQQ.The genotype of a husband and wife are IAIB & IAIO. Among the blood types of their children, how many different genotypes & phenotypes are possible? (A) 3 genotypes; 3 phenotypes (B) 4 genotypes; 3 phenotypes (C) 4 phenotypes; 3 genotypes (D) 4 phenotypes; 4 genotypes
›Reveal solutionSolution
Draw the Punnett square for IAIB×IAIO: four distinct genotypes collapse into three blood groups because IAIA and IAIO are both group A.
Step 1 — The concept: the ABO blood-group gene
The ABO locus has three alleles — IA, IB and IO (often written i) — an example of multiple allelism:
- IA and IB are CODOMINANT — when both are present, both antigens A and B appear on the RBC surface, giving blood group AB.
- IO is RECESSIVE to both IA and IB (it produces no antigen).
So the genotype → phenotype map is:
IAIA, IAIO→AIBIB, IBIO→BIAIB→ABIOIO→O
Step 2 — Set up the cross
- Husband: IAIB → gametes IA and IB
- Wife: IAIO → gametes IA and IO
Step 3 — The Punnett square
IA IO IA IAIA IAIO IB IAIB IBIO Step 4 — Count the GENOTYPES
IAIA,IAIO,IAIB,IBIO
All four are distinct ⇒ 4 genotypes (in a 1 : 1 : 1 : 1 ratio).
Step 5 — Count the PHENOTYPES
Apply the dominance rules from Step 1:
- IAIA→ A
- IAIO→ A (since IO is recessive)
- IAIB→ AB (codominance)
- IBIO→ B
Distinct blood groups: A, AB, B ⇒ 3 phenotypes.
(Note O is impossible here — the father has no IO allele to contribute.)
The genotype count exceeds the phenotype count by exactly one because the two group-A genotypes (IAIA and IAIO) are phenotypically indistinguishable.
Step 6 — Read the options carefully
We need 4 genotypes; 3 phenotypes. Options (C) and (D) list the numbers with phenotypes first and are wrong on the values anyway; (A) understates the genotypes.
✓Final answerThe correct option is (B) — 4 genotypes; 3 phenotypes.
ANSWER: B
- KCET 2021Set C-31 markMCQQ.What is the possible blood group of children whose parents are heterozygous for A and B blood groups? (A) A, B only (B) A, B, AB & O (C) AB only (D) A, B & AB only
›Reveal solutionSolution
When both parents are heterozygous for A and B blood groups (genotype IAi and IBi), the children can inherit any combination of the three alleles, leading to all four possible blood groups: A, B, AB, and O.
The key here is understanding the genetics of the ABO blood group system. This system is controlled by a single gene with three alleles: IA, IB, and i. The IA and IB alleles are codominant with each other (both are expressed when present together), and both are dominant over the recessive i allele.
When a parent is described as "heterozygous for A", it means they have one IA allele and one i allele — their genotype is IAi, and their blood group is A. Similarly, "heterozygous for B" means the genotype is IBi, and the blood group is B.
The question asks about the possible blood groups of children when one parent is IAi and the other is IBi. Since each parent contributes one allele to the child, we can work through all possible combinations.
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List the possible gametes from each parent.
The parent with IAi can produce two types of gametes: one carrying IA and one carrying i.
The parent with IBi can produce two types of gametes: one carrying IB and one carrying i.
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Set up a Punnett square to find all possible offspring genotypes.
The four equally likely combinations are:
- IA from first parent + IB from second parent → genotype IAIB → blood group AB (both codominant alleles expressed).
- IA from first parent + i from second parent → genotype IAi → blood group A (dominant IA over i).
- i from first parent + IB from second parent → genotype IBi → blood group B (dominant IB over i).
- i from first parent + i from second parent → genotype ii → blood group O (no A or B antigens).
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Interpret the results.
All four genotypes are equally probable (each with a 25% chance). Therefore, the children can have any of the four blood groups: A, B, AB, or O.
Watch outA common mistake is to think that since both parents are "heterozygous", the O group is impossible. But remember: each parent carries a recessive i allele, and if both pass it on, the child will be ii — blood group O. Do not overlook this possibility.
TipIf the question had said "homozygous" for A and B (i.e., IAIA and IBIB), then all children would be IAIB and only group AB would be possible. The word "heterozygous" is the critical detail that opens the door to all four groups.
✓Final answerThe possible blood groups of the children are A, B, AB, and O, which corresponds to option (B).
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- KCET 2020Set A-11 markMCQQ.A pure breeding pea plant with round yellow seeds was crossed with pea plant having wrinkled green seeds. On selfing of F1 hybrid of his cross, 64 progenies were obtained in F2 generation. Find out the number of F2 progenies showing non-parental characters. (A) 36 (B) 4 (C) 12 (D) 24
›Reveal solutionSolution
Apply the dihybrid 9:3:3:1 ratio to 64 progeny, then add the two classes whose phenotype matches neither parent.
Step 1 — Set up the cross (Mendel's dihybrid experiment).
Round (R) and yellow (Y) are dominant; wrinkled (r) and green (y) recessive.
P:RRYY (round, yellow)×rryy (wrinkled, green)
F1:RrYy (all round, yellow)
Step 2 — Self the F1.
RrYy×RrYy gives the classic F2 phenotypic ratio (independent assortment — the genes are on different chromosomes):
9 Round Yellow:3 Round Green:3 Wrinkled Yellow:1 Wrinkled Green
Total parts =9+3+3+1=16.
Step 3 — Scale to 64 progeny.
Each "part" =1664=4 plants.
Phenotype Parts Number Parental? Round Yellow 9 36 Yes — like parent 1 Round Green 3 12 No — new combination Wrinkled Yellow 3 12 No — new combination Wrinkled Green 1 4 Yes — like parent 2 Step 4 — Add the non-parental classes.
The parents were round-yellow and wrinkled-green. Anything else is a new (recombinant) combination:
12+12=24.
Why the distractors are wrong: 36 and 4 are the two parental classes; 12 is only one of the two recombinant classes.
✓Final answerThe correct option is (D) — 24.
ANSWER: D
- KCET 2019Set A-11 markMCQQ.In Morgan's experiment with Drosophila, when yellow bodied white eyed female was crossed with brown bodied red eyed male and their F1 progeny were intercrossed. What was the percentage of recombinants in F2 generation ? (A) 98.7% (B) 37.2% (C) 62.8% (D) 1.3%
›Reveal solutionSolution
This is a classic sex‑linked dihybrid cross in Drosophila where the two genes (body colour and eye colour) are on the X‑chromosome and are tightly linked. The recombination frequency between them is about 1.3%, so the percentage of recombinants in the F2 generation is 1.3%.
The key idea: Morgan’s famous experiment used two X‑linked genes — body colour (yellow vs brown) and eye colour (white vs red). In Drosophila, females have two X chromosomes, males have one X and one Y. When a yellow‑bodied, white‑eyed female (both recessive traits) is crossed with a brown‑bodied, red‑eyed male (both dominant traits), the F1 females are heterozygous for both genes, and the F1 males inherit their X from the mother. When these F1 flies are intercrossed, the F2 offspring show a huge excess of parental combinations and very few recombinants — because the two genes are very close together on the X chromosome.
Let’s walk through the cross step by step.
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Parental generation
Female: yellow body, white eyes — both recessive. Genotype: XywXyw (where y = yellow, w = white).
Male: brown body, red eyes — both dominant. Genotype: XYWY (where Y = brown/red wild‑type allele, and the Y chromosome carries no alleles for these genes).
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F1 generation
- All daughters get one Xyw from mother and one XYW from father → XywXYW (brown body, red eyes — both dominant traits expressed).
- All sons get the Xyw from mother and the Y from father → XywY (yellow body, white eyes — both recessive).
So F1 females are dihybrid (heterozygous for both genes), and F1 males are hemizygous recessive.
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Intercrossing F1
Cross: XywXYW (female) × XywY (male).
The female produces four types of eggs, but because the two genes are linked on the same X chromosome, the majority are parental types (Xyw and XYW) and only a small fraction are recombinant types (XyW and XYw). The male produces two types of sperm: Xyw and Y.
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Recombination frequency
Morgan observed that in the F2 generation, the two recombinant classes (yellow‑bodied red‑eyed and brown‑bodied white‑eyed) together made up only about 1.3% of the total offspring. This is the recombination frequency between the yellow and white genes.
Watch outA common mistake is to think that because there are two genes, the recombinant percentage should be 50% (as in independent assortment). But these genes are on the same chromosome and very close together — linkage drastically reduces recombination.
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Percentage of recombinants in F2
The total recombinants = sum of the two recombinant classes. That number is directly the recombination frequency (since the male parent contributes only parental X or Y, so all recombination comes from the female). Hence, 1.3% of the F2 flies are recombinants.
TipIn Morgan’s original data, out of thousands of F2 flies, only about 1.3% showed recombination between body colour and eye colour. This was the first clear evidence that genes are physically located on chromosomes and that recombination frequency measures the distance between them.
✓Final answerThe percentage of recombinants in the F2 generation is 1.3%, which corresponds to option (D).
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- KCET 2018Set A-11 markMCQQ.The allele frequency of 'A' and 'a' in a population are 0.6 and 0.4 respectively. The expected frequency of heterozygous individuals is (A) 48% (B) 36% (C) 16% (D) 24%
›Reveal solutionSolution
Under Hardy–Weinberg equilibrium, the heterozygous frequency is 2pq, where p and q are the allele frequencies. With p=0.6 and q=0.4, the expected frequency is 2×0.6×0.4=0.48, i.e. 48%.
The question is about a population that is not evolving — no mutation, no migration, no selection, random mating, and a large population size. Under those ideal conditions, the Hardy–Weinberg principle tells us that allele frequencies stay constant from generation to generation, and genotype frequencies are simply the product of the allele probabilities.
If the frequency of allele A is p and the frequency of allele a is q, then:
- p+q=1 (only two alleles at this locus).
- The three genotypes appear with frequencies:
- AA: p2
- aa: q2
- Aa: 2pq
The factor of 2 in 2pq comes from the two ways a heterozygote can form: the A can come from the mother and a from the father, or vice versa.
Here we are given p=0.6 and q=0.4. Notice that 0.6+0.4=1, so the numbers are consistent.
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Write the formula for heterozygote frequency
The expected frequency of Aa individuals is 2pq.
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Substitute the given values
2pq=2×0.6×0.4
- Calculate
2×0.6=1.2
1.2×0.4=0.48
- Convert to percentage
0.48×100%=48%
Watch outA common mistake is to forget the factor of 2 and simply write p×q=0.24 (24%). That would be the frequency of only one of the two possible heterozygous combinations — but since either parent can contribute the A or the a, both arrangements are equally likely, so you must double it.
TipYou can quickly check your answer: if p=0.6 and q=0.4, then p2=0.36, q2=0.16, and 2pq=0.48. These three add up to 0.36+0.16+0.48=1.00, which confirms the calculation is correct.
✓Final answerThe expected frequency of heterozygous individuals is 48%, which corresponds to option (A).
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