Step 1: Understanding lac operon regulation.
In bacteria, the lac operon is regulated by the lac repressor and the cAMP-CAP complex. When glucose is scarce, cAMP levels rise, allowing the cAMP-CAP complex to bind to the CAP site and activate transcription of the lac genes. The lac repressor, when bound to the operator site, inhibits this process.
Step 2: Analyzing the options.
(A) the binding of lac repressor in the operator site and cAMP-CAP complex in the CAP site: Incorrect — Binding of the lac repressor inhibits transcription, so this would prevent gene expression.
(B) the dissociation of bound lac repressor from the operator site and binding of cAMP-CAP complex in the CAP site: Correct — The dissociation of the lac repressor and binding of the cAMP-CAP complex allow the lac operon to be expressed.
(C) the dissociation of bound lac repressor only from the operator site: Incorrect — The cAMP-CAP complex must also bind to activate the operon.
(D) the dissociation of both bound lac repressor from operator site and cAMP-CAP complex in CAP site: Incorrect — The dissociation of the cAMP-CAP complex would prevent the operon from being activated.
Step 3: Conclusion.
The correct answer is (B) the dissociation of bound lac repressor from the operator site and binding of cAMP-CAP complex in the CAP site, as this allows the lac operon to be activated.
A schematic representation of restriction fragment length polymorphism (RFLP) analysis of a sample population is shown below. The number of people exhibiting a given pattern is indicated above the lanes. 
Calculate the frequency of the 6.5 kb allele. [Correct to two decimal places]
Heterozygous female fruit flies with gray body and purple eyes were mated with homozygous males with black body and red eyes. The number of offspring obtained and their phenotypes are shown below: 
Calculate the recombination frequency.
Identify the taxa that constitute a paraphyletic group in the given phylogenetic tree.
The vector, shown in the figure, has promoter and RBS sequences in the 300 bp region between the restriction sites for enzymes X and Y. There are no other sites for X and Y in the vector. The promoter is directed towards the Y site. The insert containing only an ORF provides 3 fragments after digestion with both enzymes X and Y. The ORF is cloned in the correct orientation in the vector using the single restriction enzyme Y. The size of the largest fragment of the recombinant plasmid expressing the ORF upon digestion with enzyme X is ........... bp. (answer in integer) 