Match List I with List II:

List I		List II
A	Two or more alternative formsof a gene	I	Back cross
B	Cross of F1 progeny with homozygous recessive parent	II	Ploidy
C	Cross of F progeny with any of the parents	III	Allele
D	Number of chromosome sets in plant	IV	Test cross

Choose the correct answer from the options given below:

To find the correct matching between List I and List II, let us analyze each term and definition step-by-step:

A. Two or more alternative forms of a gene:
Genes can exist in alternative forms that determine distinct inheritable characteristics. These alternative forms of a single gene are defined as alleles. Therefore, A matches with III.

B. Cross of F₁ progeny with homozygous recessive parent:
When an F₁ hybrid is crossed back specifically with its homozygous recessive parent, it is used to determine the zygosity (genotype) of the F₁ individual. This specific type of cross is known as a test cross. Therefore, B matches with IV.

C. Cross of F₁ progeny with any of the parents:
A cross between an F₁ hybrid and either of its parental genotypes (whether dominant or recessive) is referred to generally as a back cross (note that a test cross is a specific type of back cross). Therefore, C matches with I.

D. Number of chromosome sets in plant:
The number of complete sets of chromosomes in a cell, or in the cells of an organism, is referred to as its ploidy (e.g., haploid, diploid, polyploid). Therefore, D matches with II.

Combining these individual matches, we get:
A-III, B-IV, C-I, D-II

Thus, the correct option is A-III, B-IV, C-I, D-II.