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NEET Class neet Answered

If the gene frequency for PTC nontasters is 0.4, then what will be the no. of heterozygotes tasters in a population of 4000 ? (1) 1440 (2) 1920 (3) 1080 (4) 2520
Asked by Prashant DIGHE | 16 Apr, 2020, 10:11: PM
answered-by-expert Expert Answer

Since there are only two alleles, we will label them ‘A’ (PTC taster) and ‘a’ (non-PTC taster).

The frequency of the dominant allele (A) is designated by p.

The frequency of the recessive allele (a) is designated by q.

In the Hardy-Weinberg equation (p2 + 2pq + q2 = 1), q2 is the frequency of the ‘aa’ genotype (non-PTC taster homozygous, in this case).

Once we know q, we know p, because p + q = 1

Therefore,  p = 1 – q, or p = 1 – 0.4 = 0.6

Now we know p and q (p = 0.6 and q = 0.4)

The Hardy-Weinberg equation is: p2 + 2pq + q2 = 1

Therefore, frequency of heterozygotes (Aa) in the population is 2pq

Plug our values for p and q into this and you get:

Frequency of heterozygotes = 2*p*q = 2*0.6*0.4 = 0.48

To be complete, we predict all the genotype frequencies to be:

Frequency of AA = p2 = (0.6)2 = 0.36

Frequency of Aa = 2pq = 2*0.6*0.4 = 0.48

 Frequency of aa = q2 = (0.4)2 = 0.16

In a population of 4000, multiplying every term by 4000

p2 + 2pq + q2 = 4000

p2 = 1440

q2 = 640

2pq = 1920

Hence, the frequency of heterozygote tasters in a population of 4000 is 1920.

The correct answer is option 2.

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