$A, B, D$ are three independently assorting genes with their recessive alleles $a, b, d$,respectively. $A$ cross was made between individuals of $Aa bb DD$ genotype with $aa bb dd$. Find out the types of genotypes of the offspring produced.

(A) The given cross is $Aa bb DD \times aa bb dd$.
Since the genes assort independently,we can analyze the inheritance of each gene separately:
$1$. For gene $A$: $Aa \times aa$ produces $Aa$ and $aa$ in a $1:1$ ratio.
$2$. For gene $B$: $bb \times bb$ produces only $bb$ (all offspring).
$3$. For gene $D$: $DD \times dd$ produces only $Dd$ (all offspring).
Combining these results,the possible genotypes of the offspring are:
- $(Aa) \times (bb) \times (Dd) = Aa bb Dd$
- $(aa) \times (bb) \times (Dd) = aa bb Dd$
Thus,the offspring produced will have two genotypes: $Aa bb Dd$ and $aa bb Dd$ in a $1:1$ ratio.