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In which of this condition is Ara operon functional?

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In which of this condition is Ara operon functional?

(a) When repressor binds to O2 and I1

(b) When repressor binds to O1 and I2

(c) When repressor binds to I2 and I1

(d) When repressor binds to O2 and Pc

I got this question in an international level competition.

The above asked question is from Operons : Lac and Ara in section Gene Expression : Transcription Prokaryotes of Cytogenetics

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Correct option is (c) When repressor binds to I2 and I1

The best I can explain: When repressor binds to I1 and I2 then RNA polymerase faces no hindrance in binding to the promoter and the genes are turned on. On the other hand when induces the repressor bind to O2 and I1 which leads to the looping out and turning off.

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