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Phrase(s): Could you keep a secret? [and] Can you keep a secret?
I am going to tell you something that I hope you will keep a secret. (Also used with can in place of could.) • Tom: Could you keep a secret? Mary: Sure. Tom: Don’t tell anybody, but I’m going to be a daddy. • Sue: Can you keep a secret? Alice: Of course. Sue: We’re moving to Atlanta.
McGrawhill's American Idioms And Phrasal Verbs