Voadam
Legend
I was a little wrong on B/X, it does have a paragraph on the DM optionally using stats to adjudicate things not covered.
This is a discretionary DM option, but does include things like "thinking of a forgotten clue".
Page B60:
"There's always a chance." The DM may want to base a character's chance of doing something on his or her ability scores (Strength, Dexterity, and so forth). To perform a difficult task (such as climbing up a rope or thinking of a forgotten clue), the player should roll the ability score or less on 1d20. The DM may give a bonus or penalty to the roll, depending on the difficulty of the action (-4 for a simple task to +4 for a difficult one). A roll of 1 should always succeed, and a roll of 20 should always fail."
Also there is a secondary reference sentence outside of the ability score section to playing as intelligently as the intelligence score:
Page B11
"Note that playing an alignment does not mean a character must do stupid things. A character should always act as intelligently as the Intelligence score shows, unless there is a reason to act otherwise (such as a magical curse)."
This is a discretionary DM option, but does include things like "thinking of a forgotten clue".
Page B60:
"There's always a chance." The DM may want to base a character's chance of doing something on his or her ability scores (Strength, Dexterity, and so forth). To perform a difficult task (such as climbing up a rope or thinking of a forgotten clue), the player should roll the ability score or less on 1d20. The DM may give a bonus or penalty to the roll, depending on the difficulty of the action (-4 for a simple task to +4 for a difficult one). A roll of 1 should always succeed, and a roll of 20 should always fail."
Also there is a secondary reference sentence outside of the ability score section to playing as intelligently as the intelligence score:
Page B11
"Note that playing an alignment does not mean a character must do stupid things. A character should always act as intelligently as the Intelligence score shows, unless there is a reason to act otherwise (such as a magical curse)."