Doesn't the expression "off my hands" mean "out of control"?

[serena]

English Idioms and Expressions, Intermediate level

ESL/EFL Test #19 "Idioms with Hand", question 7

The FBI told the local police that their case was off their hands. The investigation was now a Federal matter.

(a) lost by them
(b) improvised by them
(c) out of their jurisdiction
(d) out of their control

English Idioms and Expressions, Intermediate level

ESL/EFL Test #19 "Idioms with Hand", answer 7

The FBI told the local police that their case was out of their jurisdiction. The investigation was now a Federal matter.

Correct answer: (c) out of their jurisdiction
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Surely, D should be the correct answer? C is just a special case of D. C is a way of being out of control. If I were about to win a board game and leave my opponent with just one losing option, it would be appropriate for me to say: "I'm sorry, the situation is off my hands now".