To construct a mapping cross of linked genes, it is important that the genotypes of some of the gametes produced by the heterozygote can be deduced by examining the phenotypes of the progeny.

False.

Explanation:

Linked genes are the genes that are present on the same chromosome and can undergo the process the recombination. The recombinant progeny are obtained by the crossing of the linked genes.

The recombinant frequency and map distance can be deduced by the mapping of the linked genes. The genotype of the heterozygote cannot be deduced by examining phenotype and sometimes the recombinant progeny is completely different from the parents as well as from the heterozygotes.

Thus, the correct answer is false.