The given sentence is the direct narration of a simple sentence. Since it is the mother who is being responded here, so, we will change the reporting speech as "they told their mother". The tense of first phrase of the reported speech is simple present which will change to simple past in indirect speech. It means "we are not hungry" will change to "they were not hungry". Please note that the pronoun "they" is a third person pronoun, so it will not be changed and remain same in indirect speech. The part "we shall eat later" will change to "they would eat later". It is because, "we" is a first-person pronoun and it will change according to the subject of the reporting speech which is "they" here. So, "we" will also change to "they". Now, "shall" will change to "would" as it needs to be in accordance with the subject "they". Option A is correct as it adheres to the above rules correctly.

The given sentence is the direct narration of an interrogative sentence. So, "said to" will change to "asked". The question word "why" will work as conjunction only and will add the reporting and reported speech in indirect narration. The remaining part of the reported speech will be made assertive, i.e. the verb will be kept after the subject. The tense of the reported speech is simple present, so, it will change to simple past in indirect speech. The pronoun "you" is a second person pronoun and it will change to "he" (according to the rule, the second-person pronoun changes according to the object of the reporting speech which is "his brother" in the sentence). Option C adheres to these rules, so, it is the correct answer.

Sentences in which the reported speech starts with the phrases like "what a lovely, how beautiful, what a terrible etc" are called exclamatory sentence. While converting such sentences in indirect speech, such phrase change to "it was very" and then comes the remaining part. Following this rule, the reported speech of the given sentence will change to "it was a very lovely morning for tennis". Also, the reporting verb will change to "exclaimed". Option A is correct as it follows the above rule correctly.

The given sentence is in interrogative form. To convert such sentences into direct narration, the below rules are followed:

• Said/say is changed to ask/asked/wonder/wondered/enquire of/enquired of.
• Inverted commas (" ") are removed.
• If the reported speech is in YES/NO question form then if/whether is used before reported speech.
• If the reported speech is in the form of WH-Question (who/what/why/how/where/when/which etc), no conjunction is used before the question word. The question word itself works as a conjunction.
• Reported verb is made assertive; i.e. it is kept in the order of subject + verb.
• The sign of interrogation (?) is removed and full stop is used.
• The words like, this, these, tomorrow, yesterday change to that, those, the next day, the previous day respectively.

‘Live’ should be changed into ‘lived’ and the only option that goes well with this rule in option A. Hence, option A is the correct answer.

The word “let” is used to suggest, to propose or to allow something. Below are the rules for changing such sentences in indirect speech:

• Say/said to changes to propose/proposed; suggest/suggested.
• If the reporting verb has an object, then it is used with “to” after proposed/suggested.
• The inverted commas (“ “) used in is removed and “that” conjunction is used.
• “Should + verb (Ist form)” is used after subject of the reported verb.
• The words like, this, these, tomorrow, yesterday change to that, those, the next day, the previous day respectively.
• If the reporting verb is in past tense, we make changes to the reported verb as per the below rule:
• Simple present tense changes to simple past tense.
• Present continuous tense changes to past continuous tense.
• Present perfect tense changes to past perfect tense.
• Present Perfect continuous tense changes to past perfect continuous tense.
• Simple past tense changes to past perfect tense.
• Past continuous tense changes to past perfect continuous tense.
• No changes are made to past perfect and past perfect continuous tense.

Below are the rules for changing the pronouns correctly:

• First person pronoun changes according to the subject of reporting speech.
• Second person pronoun changes according to the object of reporting speech.
• Third person pronoun does not change in indirect speech.

The spoken sentence is an interrogative sentence. So, "said to" will change to "asked". Inverted commas will be removed and the question word "how" will work as a conjunction in indirect speech. The tense of the reported speech is simple present which will change to simple past in indirect speech. We can see that option D follows above rules; so it is the correct answer.

Common rules to change an interrogative direct speech to indirect speech:

• Say/Said is changed to ask/asked/wonder/wondered/enquire of/enquired of etc as per the sense of the sentence.
• Inverted commas (" ") are removed.
• If the reported speech is in YES/NO question form then if/whether is used before reported speech.
• If the reported speech is in the form of WH-Question (who/what/why/how/where/when/which etc), no conjunction is used before the question word. The question word itself works as a conjunction.
• Reported verb is made assertive; i.e. it is kept in the order of subject + verb.
• The sign of interrogation (?) is removed and full stop is used.

Common rules for converting direct speech to indirect speech:

• The words like, this, these, tomorrow, yesterday change to that, those, the next day, the previous day respectively.

• If the reporting verb is in past tense, we make changes to the reported verb as per the below rule:
• Simple present tense changes to simple past tense.
• Present continuous tense changes to past continuous tense.
• Present perfect tense changes to past perfect tense.
• Present Perfect continuous tense changes to past perfect continuous tense.
• Simple past tense changes to past perfect tense.
• Past continuous tense changes to past perfect continuous tense.
• No changes are made to past perfect and past perfect continuous tense.

Below are the rules for changing the pronouns correctly:

• First person pronoun changes according to the subject of reporting speech.
• Second person pronoun changes according to the object of reporting speech.
• Third person pronoun does not change in indirect speech.

Rules for changing the direct speech into indirect speech are given below:

• The inverted commas (“ “) used in Direct Narration is removed in Indirect Narration and “that” conjunction is used.
• If the reporting verb is in present or future tense, no changes are made to the verb/tense of the reported speech.
• If the reporting verb is in past tense, we make changes to the reported verb as per the below rule:
• Simple present changes to simple past.
• Present continuous changes to past continuous.
• Present perfect changes to past perfect.
• Present Perfect continuous changes to past perfect continuous.
• Simple past changes to past perfect.
• Past continuous changes to past perfect continuous.
• Can, shall, will, may, must changes to could, should, would and might must respectively.
• If there are any universal truth, habitual fact in the reporting speech, no changes are made to the reported verb’s tense.

• The words like, this, these, tomorrow, yesterday change to that, those, the next day, the previous day respectively.

Below are the rules for changing the pronouns correctly:

• First person pronoun changes according to the subject of reporting speech.
• Second person pronoun changes according to the object of reporting speech.
• Third person pronoun does not change in indirect speech.

This is an imperative sentence. In such sentences, order, request, advice or negative command is given. 

Rules for changing the direct speech into indirect speech are given below:-

Say/Said is changed to ask/asked/ordered/wonder/wondered/enquire of/enquired of etc as per the sense of the sentence.

Inverted commas (" ") are removed.

Tense will remain the same.

Hence, option B is the correct answer.

Rules for changing the direct speech into indirect speech are given below:-

Say/Said is changed to ask/asked/wonder/wondered/enquire of/enquired of etc as per the sense of the sentence.

Inverted commas (" ") are removed.

Simple past tense changes to past perfect tense.

First-person pronoun changes according to the subject of reporting speech i.e. 'I' will be changed into 'she'.

Hence, option B is the correct answer.

Here, we can apply the elimination technique. We know that in the given sentence, the reporting verb is in past, so, the reported speech will be in past tense in the indirect speech. So, options A and C are eliminated as they use present tense. We also know that "these" will change to "those" in the indirect speech. So, option D is also eliminated as it uses "these". So, the correct answer is B.