Step 1: Role of glucose in lac operon regulation
Low glucose increases cAMP levels which activate CAP. CAP binds upstream of the lac promoter and enhances transcription. Therefore, at low glucose, the operon is activated. Hence (A) is correct.
High glucose suppresses cAMP formation and prevents CAP activation, reducing transcription even if lactose is present. Thus (B) is incorrect.
Step 2: Role of lactose in lac operon regulation
The lac repressor binds the operator and blocks transcription when lactose is absent. Hence (C) is correct.
When lactose is present, it binds to the repressor and inactivates it, inducing the operon. Although (D) is biologically true, it does not pair correctly with the question’s conditions (presence of glucose + lactose). The expected GATE answer pair remains (A, C).