Question Details

A sampled “a” population has 36% of homozygous recessive genotype (aa). Then the frequency of allele “a” is

Options

A

40%

B

50%

C

60%

D

70%

Correct Answer :

60%

Solution :

The correct option is 60%.

To find the frequency of the recessive allele "a", we can apply the Hardy-Weinberg principle. According to this principle, the frequencies of genotypes in a population in genetic equilibrium are represented by the equation:
p2+2pq+q2=1
where:
- p2 represents the frequency of the homozygous dominant genotype (AA),
- 2pq represents the frequency of the heterozygous genotype (Aa), and
- q2 represents the frequency of the homozygous recessive genotype (aa).
- p is the frequency of the dominant allele "A", and
- q is the frequency of the recessive allele "a".

We are given that the homozygous recessive genotype (aa) frequency is 36%. In decimal form, this is:
q2=0.36

To find the frequency of the allele "a" (which is q), we take the square root of the homozygous recessive genotype frequency:
q=0.36
q=0.6

Converting the decimal frequency back into a percentage:
0.6×100=60%

Therefore, the frequency of the allele "a" is 60%.

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