What is exactly the meaning of nose?

[Frank Stern]

English Language Tests, Intermediate level

ESL/EFL Test #723 "Real Life: Using Body Parts as Verbs (3)", question 3

It was a tight fit but I managed to ......... the front end of my car into the last, tiny parking spot available in the busy mall parking lot yesterday.

(a) nose
(b) thumb
(c) stomach
(d) arm

English Language Tests, Intermediate level

ESL/EFL Test #723 "Real Life: Using Body Parts as Verbs (3)", answer 3

It was a tight fit but I managed to nose the front end of my car into the last, tiny parking spot available in the busy mall parking lot yesterday.

Correct answer: (a) nose

Your answer was: incorrect
It was a tight fit but I managed to thumb the front end of my car into the last, tiny parking spot available in the busy mall parking lot yesterday.
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What is exactly the meaning of nose here?

[Mister Micawber]

.
Slowly and carefully drive.
.
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Native English teacher at Mister Micawber's