They gave themselves up?

[Acharyasd]

English Language Tests, Intermediate level

ESL/EFL Test #208 "What Comes Next? (2)", question 8

They realised that the police had them cornered and ..........

(a) they gave themselves up
(b) they gave themselves under
(c) they gave them selves to
(d) they gave themselves over

English Language Tests, Intermediate level

ESL/EFL Test #208 "What Comes Next? (2)", answer 8

They realised that the police had them cornered and they gave themselves up.

Correct answer: (a) they gave themselves up
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can you please explain about themselves up, under, to, over

[Torsten]

They only combination that makes sense is 'they gave themselves up'. The other three don't exist.

TOEIC listening, photographs: Rowing