~ものか
as if (something untrue were actually true); there's no way ~.
JLPT
N2
Structure
V・A・Naな・Nな + ものか
Meaning
Used to emphasize the speaker's feeling of surprise or boredom: "Is that so?" Often used in spoken language and often converted into もんか .
その
レストラン
にするものか
。
What about that restaurant?
この
世
であんな
人
がいるもんか
。
Is there such a person in this world?
予約必要
なもんか
。
Is it necessary to make a reservation?
