What's wrong in using faintest idea?

[Oliver Mangoon]

Common Errors in English, Advanced Level

ESL/EFL Test #4 "Not the slightest idea", question 2

I've thought over what you said and after a great deal of thought I am seeing what you mean.

(a) thought
(b) said
(c) deal
(d) am seeing

Common Errors in English, Advanced Level

ESL/EFL Test #4 "Not the slightest idea", answer 2

I've thought over what you said and after a great deal of thought I see what you mean.

Correct entry: see
The error was: (d) am seeing

You have found the error and your entry is correct.
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for the first question what's wrong in using faintest idea as with your option slightest

[Mister Micawber]

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Nothing wrong with faintest in AmE. I haven't the faintest/slightest idea what you're talking about.
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Native English teacher at Mister Micawber's