The correct option is A would
Modal verbs are helping verbs that determine the mood of a sentence, for example, an obligation, ability, possibility, condition, etc.
The given sentence expresses a hypothetical situation (also called conditional sentences), as suggested by the if-clause: "if you lost your mobile phone."
Option A: 'Would' is a modal verb that is often used in conditional sentences with 'if'. It also completes the given sentence in meaning. Hence, option A is most suitable.
Option B: 'Shall' is a modal verb that refers to the future actions. It isn't used in conditionals. Hence B is incorrect.
Options C and D: 'Do' and 'have' are auxiliary verbs (helping verbs) that determine the tense of a sentence. They do not refer to the given conditional sentence. Hence C and D are incorrect.