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NCERT Exemplar · Q12

Q.For the MN-blood group system, the frequencies of M and N alleles are 0.7 and 0.3, respectively. The expected frequency of MN-blood group bearing organisms is likely to be

(a) 42%
(b) 49%
(c) 9%
(d) 58%
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The expected frequency of MN-blood group organisms is 42%, calculated using the Hardy-Weinberg principle for codominant alleles.

The MN-blood group system is a classic example of codominance in human genetics, where both alleles — M and N — are equally expressed in the heterozygous condition. Unlike the ABO system, there is no dominance or recessiveness here: an individual with one M and one N allele will have the MN blood type, not a blend or a hidden trait. This makes the system ideal for applying the Hardy-Weinberg principle, which predicts genotype frequencies in a population that is not evolving.

The Hardy-Weinberg equation for a two-allele system is $p^2 + 2pq + q^2 = 1$, where $p$ is the frequency of the M allele and $q$ is the frequency of the N allele. Here, $p = 0.7$ and $q = 0.3$. The frequency of the MN genotype — the heterozygote — is given by $2pq$, because there are two ways to inherit one M and one N allele (M from mother and N from father, or vice versa).

So, $2pq = 2 \times 0.7 \times 0.3 = 0.42$, or 42%. This is the expected proportion of MN-blood group individuals in the population, assuming random mating and no evolutionary forces like selection, mutation, or migration. …

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