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Grammar detail: わけがない

わけがない  there's now way that~; couldn't possibly~
117 words
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verb plain form
い adjective
な adjective + な
+
わけがない
means
there's now way that~; couldn't possibly~
The literal definition of わけがない is 'there's no reason that'. It is used when a speaker wishes to emphasize that X is impossible because of a set of circumstances. It can also be used when a speaker is confident that there is no reason for X to be possible and they wish to emphasize this opinion.
On its own わけ can mean 'the reason'; 'reason', or 'why'. There are several expressions that use わけ, all of which have the core meaning 'reason'.
かあ
さん
いま
しごと
仕事
たいへん
大変
だから
ひま
わけがない
Work is intense for mum right now, so there's no way she'll have time on her hands.
10
じかん
時間
やす
みなし
はたら
いて
から
さんじかん
3時間
うんてん
運転
できるわけがない
I couldn't possibly drive for 3 hours after having worked 10 hours without break.
あんなに
くさ
チーズおいしいわけがない
There's no way a cheese that smells that bad could taste good.
あの
ふたり
2人
すごく
なか
がいい
から
たが
わるくち
悪口
わけがないだろう
Those two get along so well, there would be now way they'd bad-mouth each other.
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Kanji used in this grammar

ボ   はは mother   
コン   キン   いま now   
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シ   ジ   つかえる to attend to   
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ジ   ズ   こと thing; matter   
ダイ   タイ   おおきい big   おおいに very much   おお-    
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ヘン   unusual   かえる to alter, change   かわる to change   
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カ   ひま free time   
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ジ   とき time, occasion   
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カン   ケン   あいだ interval, between   ま space, room   
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キュウ   やす to rest   やすまる to be rested   やすめる to suspend (use etc.)   
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ドウ   はたら to work   
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ウン   carry; luck   はこ to carry   
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テン   ころがる to roll (intr.)   ころがす to roll (tr.)   ころげる to roll about   ころ to fall over   
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シュウ   くさ foul-smelling   にお to smell (bad)   
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ジン   ニン   ひと person   
チュウ   なか friend; go-between   
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ゴ   たが mutual, reciprocal   
アク   オ   わる bad   
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コウ   ク   くち mouth   
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ゲン   ゴン   say; word   こと word, saying   い to say   
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