All 3 Uses

inquiry
in
The Scarlet Letter
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When they found voice to speak, it was at first only to utter remarks and inquiries such as any two acquaintances might have made, about the gloomy sky, the threatening storm, and, next, the health of each.†
p. 177.6

inquiries = questions or investigations
It is a curious subject of observation and inquiry, whether hatred and love be not the same thing at bottom.†
p. 242.6 *

inquiry = questioning or investigating
And the next morning, the first indication the child gave of being awake was by popping up her head from the pillow, and making that other enquiry, which she had so unaccountably connected with her investigations about the scarlet letter— "Mother!†
p. 168.6

unconventional spelling: This is spelled "inquiry" in U.S. English.

Definitions:

(1) (inquiry)
a question or investigation -- especially one meant to gather information or find out the truth
(2) (meaning too rare to warrant focus)