He came to school _____ spite of being ill.

• A. in (Answer)
• B. with
• C. of
• D. for

'In spite of' is the correct phrase meaning 'despite'.

She has a strong desire _____ succeed in life.

• A. of
• B. for
• C. to (Answer)
• D. about

'Desire to + infinitive' is the correct structure. 'Desire for + noun' is also correct.

The students _____ told to submit their assignments by Monday.

• A. are
• B. were (Answer)
• C. have
• D. had

The sentence is in past tense, so 'were told' (passive) is correct.

Mathematics _____ my favourite subject in school.

• A. are
• B. were
• C. was (Answer)
• D. have been

Subjects ending in -ics (Mathematics, Physics) take singular verbs.

He has been ill _____ Monday.

• A. for
• B. from
• C. since (Answer)
• D. during

'Since' is used with a specific point in time (Monday). 'For' is used with a duration.

The meeting was postponed _____ next week.

• A. for
• B. to
• C. by
• D. till (Answer)

'Postponed till/until next week' means it was deferred to that time.

He is inferior _____ me in studies.

• A. than
• B. from
• C. to (Answer)
• D. over

'Inferior to', 'superior to', 'junior to', 'senior to' — these comparatives use 'to', not 'than'.

She is _____ honest woman.

• A. a
• B. an (Answer)
• C. the
• D. no article

'Honest' starts with a vowel sound /ɒ/ (the 'h' is silent), so 'an' is used.

He is busy _____ completing the project.

• A. with
• B. in (Answer)
• C. at
• D. for

'Busy in doing' something is the correct preposition use in formal contexts.

You _____ not speak loudly in a library.

• A. can
• B. must (Answer)
• C. will
• D. should

'Must not' expresses prohibition. 'Should not' is a recommendation.