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Fill in the blank with appropriate modal.
I ________ prefer not to give any explanation.
A. Would
B. Could
C. May
D. Shall

Answer
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Hint:Modals are special verbs which adds additional Information to the action of the main verb. Modals are used to express functions such as permission, obligations , advice, probability, possibility, prohibition, lack of necessity, ability. Example: You must be tired, take some rest (Certainty). Example: May I use this pen ? ( permission). We will choose an option that best suits the message of the sentence. This sentence mentions preferring not to give any explanation.

 Complete answer:
Let us analyse each option in detail to figure out the correct answer.

A. Would: The modal verb ‘would’ is used in case of making polite offers or invitations. Example: Would you like to have something? By implying this option, the sentence becomes “I would prefer not to give any explanation ”. Therefore , this is the correct option.

B. Could: The modal verb ‘could’ is used in case of polite permissions, ability, possibility. Example: Could I please say something ? By implying this option, the sentence becomes “I could prefer not to give any explanation ”. Therefore , this is not the correct option.

C. May: The modal verb ‘may’ is used to express permission, probability, possibility. Example: May I hold your bag ? By implying this option, the sentence becomes “I may prefer not to give any explanation ”. Therefore , this is not the correct option.

D. Shall: The modal verb ‘shall’ is used to offer information, advice , and offer to do something. Example: Shall I come tomorrow? By implying this option, the sentence becomes “I shall prefer not to give any explanation ”. This doesn’t make sense as the sentence conveys a sense of obligation . Therefore , this is not the correct option.

Hence, the correct answer is Option ‘A’.

Note:Modal verbs are also called auxiliary verbs or modal auxiliaries. They possess a great variety of auxiliary functions. Forms of Modal verbs are never changed. You can't add "s", "ed", "ing. They are always followed by an infinitive without ‘to’. Example: You must study hard. (Correct).

Example: I don’t like music as much as I like dance.
Example: Neither Mira nor her mother came to see me.