Step 1: Verify statement I and II.
Klinefelter's syndrome gives an extra X chromosome, an allosomal trisomy, so I is correct. Turner's syndrome gives only one X chromosome, an allosomal monosomy, so II is correct.
Step 2: Verify statement III.
Down's syndrome is the well known case of an extra copy of chromosome 21, an autosomal trisomy, so III is correct too.
Step 3: Verify statement IV.
Aneuploidy in general arises when chromosomes fail to separate properly during gamete formation, non-disjunction, which covers all the above disorders, so IV is correct as well.
Final answer: Option 4, all four statements I, II, III and IV are correct.