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This question already has an answer here:

For instance, when someone asks for you to fix their computer or their cell phone and you just say that you don't how to solve that problem, even if you do know.

marked as duplicate by NVZ, user140086, BladorthinTheGrey, jimm101, Helmar Dec 19 '16 at 9:29

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    I think the basic word is Lie – Karan Desai Dec 18 '16 at 5:10
  • This link may help – Karan Desai Dec 18 '16 at 5:12
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    @KaranDesai You have sufficient rep to flag a question as a duplicate. Go to your link and click share below the question or answer that's already been posted. Copy the link in the pop-up. Return here and click flag below the question. Select duplicate as the reason to get another pop-up. Paste your copied link in the "is a duplicate of" text box. Then click "Vote to Close". – deadrat Dec 18 '16 at 5:20
  • Welcome to English Language & Usage! Questions on choosing an ideal word or phrase must include information on how it will be used in order to be answered. For help writing a good word or phrase request, see: About single word requests – NVZ Dec 18 '16 at 5:30
  • Dan Bron’s answer to the withholding information question contains some words that answer this question (e.g., dissimulate, dissemble, and prevaricate), but the questions are not duplicates.  The other question is about saying “I won’t tell you”, “You can’t handle the truth”, or “You’re too young to learn about that.”  This question is about saying “I can’t tell you, because I don’t know,” when you really do know (i.e., lying). – Scott Dec 18 '16 at 23:47
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If you do that, you are feigning/faking (ignorance).

M-W:

feign

intransitive verb
: pretend, dissemble

transitive verb
1 a : to give a false appearance of : induce as a false impression : feign death
b : to assert as if true : pretend

I would never feign illness just to get out of a test.

fake (faked, faking)

transitive verb
2 : counterfeit, simulate, concoct : faked a heart attack

intransitive verb
1 : to engage in faking something : pretend —sometimes used with it : if you don't have the answers, fake it

  • I agree with your answer. "feigning ignorance" seems more natural than "faking ignorance" IMHO, in this context. – user85627 Dec 18 '16 at 10:52

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