These denote the mood of the main verb in the sentence.

Here are the modal auxiliary verbs:-

1.Can: 

Here are the uses and examples:

A. Ability:-We use the verb to express the ability of the subject.

Examples: 

1. She can pass the exam with distinction.

2. Suman can write an excellent Thesis for Ph. D.

B. Suggestion:- We use the verb to give suggestions to someone.

Examples: 

1. You can go by bus.

2. Rutuja can go for medical help.

C. Permission:- We use the verb to ask for permission.

Examples: 

1. Can I use your pen?

2. Can I go to the market?

D. Possibility:- We use the verb to express that something possibly happens.

Examples: 

1. If you attend classes, you can complete the course on time.

2. She can be late.

2. Be able to: We use this to express ability.

Examples:

1. She will be able to dance after she recovers from injury.

2. I will be able to solve this problem.

3. Can’t: We use this to express certainty that something is impossible.

Examples: 

1. You can’t do this to me.

2. They can’t talk in this manner.

4. Could:

Here are the uses & examples:

A. Ability:- We use this verb to show that the subject was capable of doing something in the past.

Examples: 

1. I could walk for several miles when I was younger.

2. She could bake tasty cakes earlier.

B. Suggestion:- We use the verb to suggest something.

Examples: 

1. You could go by bus.

2. Rutuja could go for medical help.

C. Request:- We use ‘Could’ to request someone.

Examples:

1. Could I use your pen?

2. Could I go to the market?

5. May: 

Here are the uses & examples:

1.Possibility: We use this verb to show that something is possible at present or in the future.

Examples:

1. The film may hurt the feelings of Muslims.

2. Raman may top the exam.

2.Request: We use this to request someone or to ask for permission.

Examples:

1. May I borrow your pen?

2. May I serve you?

6.Might: 

Here are the uses & examples:

A. Possibility: We use this verb to show that something is possible at present or in the future.

Examples:

1. She might be in college.

2. Neha might attend the lecture.

B. Possibility in the past: We use this verb with present perfect tense to express possibility in the past.

Examples:

1. He might have answered properly in the interview.

2. She might have caught the bus.

7.Must:

Here are the uses & examples:

A. Obligation: We use this modal auxiliary verb to express obligation.

Examples:

1. He must attend the lectures.

2. Rahul must pay the fees.

B. Certainty: We use this modal auxiliary verb to express certainty.

Examples:

1. It must have rained outside.

2. You must have cheated during the exam.

8. Have to: We use this to express obligation.

Examples:

1. You have to come with me.

2. She has to complete the task on time.

9. Need to: We use this to express obligation.

Examples:

1. You need to work hard.

2. They need to go there quickly.

10. Needn’t: We use this to express a lack of obligation.

Examples:

1. You needn’t have a passport to travel there.

2. She needn’t  have a beautiful face to work in a company.

11. Mustn’t: We use this to express prohibition.

Examples:

1. You mustn’t smoke as it is injurious to health.

2. She mustn’t drink & drive.

12. Don’t have to: We use this to express a lack of obligation.

Examples:

1. You don’t have to stay with him.

2. She doesn’t have to go with them.

13. Should: We use this to give opinions or advice.

Examples:

1. You should complete your homework on time.

2. She should take it seriously.

14. Ought to: We use this to give opinions or advice.

Examples:

1. You ought to complete your homework on time.

2. She ought to take it seriously

15. Would: Here are the uses & examples.

A. Polite request: We use this to request someone.

Examples:

1. Would you please help me?

2. Would you pass the bowl, please?

B. Action in the past: We use this to narrate an action in the past.

Examples:

1. He wouldn’t drink coke when he was young.

2. She would chew chewing gum when she was a kid.