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Question

Presence of recessive trait is 16%. The frequency of dominant allele in population is -

A
0.92
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B
0.6
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C
0.32
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D
0.84
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Solution

  1. According to the Hardy Weinberg law, the allele and genotype frequencies in a population remain constant under the absence of factors responsible for evolution.
  2. It states that the sum of all genotype frequencies can be represented as the binomial expansion of the square of the sum of p and q.
  3. This sum is equal to one. (p+q)2=p2+2pq+q2=1.
  4. ​Here, "p" is the frequency of the dominant allele, p2 is frequency of homozygous dominants, q is the frequency of recessive allele and q2 is the frequency of homozygous recessive individuals.
  5. The "2pq" in equation shows frequency of heterozygotes in the population.
  6. In the question, the genotype frequency of recessive population is;
  7. (q2)=(16percentor0.16).
  8. Hence, frequency of recessive allele = qq = 0.16
  9. So, q = 0.4
  10. Since p + q = 1; thus the frequency of dominant allele = p = 1 - q = 1 - 0.4 = 0.60.
  • So, the correct answer is = 0.60.


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