Preposition : - Preposition are short words that link other words or phrases within a sentence. They generally show a relationship that exists between them. For Example in, at, on etc. Some prepositions are made up of more than one word. They are called complex prepositions. For Example as far as, up to, etc.

Preposition of Time and Date:

You use preposition of time to talk about something that happens at a particular moment or something that lasts for a particular period:

Example :- The birds start singing before sunrise.

In the question :-

As our school was next to our house, I used to come home __________________ lunch time.

In this sentence ,the correct preposition of time and date that can be placed is during as it is used to  say when something happens.

Thus , the Correct option is B ,which is During .

Preposition : - A  word that is used before a noun , a noun phrase, or a pronoun , connecting it to another word .  In the sentence 'The dog jumped over the wall ', the word 'over' is a preposition. Some prepositions which are commonly used is : at , for , of , in , under etc.

Use of 'Since'

The preposition since is used to indicate a starting point, after which the action continues. For example:

• I haven’t seen them since 2012.
• It has been raining since morning.
• You haven’t talked about that since James left.

In this question, He has been absent since Monday.

Hence, correct option is B.

PREPOSITION:- A preposition is a word used to nouns, pronouns , or phrases to other words within a sentence. They act to connect the people, object, locations of a sentence.  A simple way to think about prepositions is as the words that help glue a sentence together. some prepositions are: in, of, for, after, before, from, at, about etc.

Preposition of Time and Date: -

You use preposition of time to talk about something that happens at a particular moment or something that lasts for a particular period:

• The birds start singing before sunrise.
• The car wont be ready until Friday.

The object of a preposition of time is often a date, a time, or a number of hours, days etc.:

• My sister was born in 2008.
• The bus arrived at half past ten.
• He had been waiting for two hours.

Use of 'At' :

“At” is only used to describe specific times. It might be to describe a particular numerical time on the clock, or it could also be used to refer to particular and specific events or times of day. Examples :

• .We had lunch at 11:30.

Use of 'On' : 

“On” is a very particular preposition of time, that is only used with specific days, dates or named days. For instance, you would use “on” to refer to a calendar date, a day of the week, or a special day that can be named by its significance, such as a birthday or anniversary. Examples :

• On 12 March, I first learnt to swim.

Use of 'In' :

“In” is used in phrases that describe a more general period of time, that doesn’t have a specific clock time or time of day. Examples : 

• We got up very early in the morning .

Use of 'During' :

During is used to say when something happens. I will be really busy during the next year. During is used with a noun/pronoun.

• He fell asleep during the film. He was asleep for half an hour. 

In the question : -

1. The children were sleeping during the movie. In this sentence , during is the correct preposition of time and date as it is used to show when something happens .

2. Her train is arriving at 8 o’ clock. In this sentence , at is the correct preposition of time and date as it is used to show show specific time .

3. She felt nervous on her wedding day. In this sentence , on is the correct preposition of time and date as it is used to show the specific days, dates or named days.

Thus , the Correct Option is C , which is during , at , on .