Concept:
Many genetic disorders arise due to gene mutations or chromosomal abnormalities. To solve such questions, each statement should be examined individually.
Step 1: Analyzing Statement I.
Sickle cell anemia occurs due to substitution of valine for glutamic acid at the sixth position of the beta-globin chain.
Therefore Statement I is correct.
Step 2: Analyzing Statement II.
Thalassemia is an autosomal inherited disorder affecting hemoglobin synthesis.
It is not sex-linked.
Therefore Statement II is incorrect.
Step 3: Analyzing Statement III.
Down syndrome results from trisomy 21.
Chromosome 21 is an autosome.
Hence Down syndrome is an autosomal disorder, not an allosomal disorder.
Statement III is incorrect.
Step 4: Analyzing Statement IV.
Phenylketonuria results from mutation in the PAH gene located on chromosome 12.
Thus Statement IV is correct.
Hence only Statements I and IV are correct.