In careful language, (a) is best. In everyday usage you may well hear (c) (though usually it would be contracted to "she's").
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GPY In everyday usage you may well hear (c).She is an engineer but she talks as though she is a physician.
sb70012If you use the red part, then how would you understand whether it means she is really a physician or she is faking?It says that she is an engineer.
sb70012If you use the red part, then how would you understand whether it means she is really a physician or she is faking?As though is an idiom, meaning as if. It introduces an unreal condition.
AlpheccaStarsAs though is an idiom, meaning as if. It introduces an unreal condition.I don't think this is always true with indicative verbs. For example, in a hospital, "See that man over there who looks as if/though he's a doctor". Quite probably he is a doctor.
GPYI don't think this is always true with indicative verbs.Sorry, I was not very clear. I meant in the sentence under discussion.
wilpeterThe answer key presumably didn't include "was", only "were"; making it the correct choice.It quite possibly did. For many speakers of BrE, 'was' is acceptable these days for irrealis situations.
fivejedjonIt quite possibly did.If you click on the link that sb70012 gave, it shows that the other site was given a different option.