Difference between exhausting and exhaustive

[Guest]

Test No. incompl/advan-89 "GMAT Verbal Quiz (12)", question 10

I've looked everywhere for my key and even carried out an ......... search of my car but I can't find that book.

(a) exhausted
(b) exhausting
(c) exhaust
(d) exhaustive

Test No. incompl/advan-89 "GMAT Verbal Quiz (12)", answer 10

I've looked everywhere for my key and even carried out an exhaustive search of my car but I can't find that book.

Correct answer: (d) exhaustive

Your answer was: incorrect
I've looked everywhere for my key and even carried out an exhausting search of my car but I can't find that book.
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I always mix "exhaustive" and "exhausting". Can you give me a helping hand how to remember best when to use which?

[Alan]

Exhaustive means very thorough and exhausting means very tiring.
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English as a Second Language
You can read my ESL story Present Simple

[Vladimir13]

Hi teachers,

Please, put me right if I'm mistaken, but it seems to me there is confuse in the sentence.
What the author had looked for, his key or the book?

Thank you a lot,
Vladimir.
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My little horse must think it queer...

[Beeesneees]

The author has lost two items. He cannot find his key or the book.

I don't know why the test maker chose to do that.
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Cheers m' dears!