Hi

I am guessing you want to get admission in Mumbai.

No, you don't to give CUET ( formerly CUCET) for getting admission in  Mumbai.

This is because,

Mumbai university or any other university in Mumbai doesn't accept CUET.

For your reference,

List of CUET accepting universities is given below:-

---------------------) Central University of Himachal Pradesh

---------------------) National Sports University

---------------------) Central University of Kashmir

---------------------) Central Agricultural University

---------------------) Central University of Jammu

---------------------) Central University of Punjab

---------------------) Central University of Haryana

---------------------) Central University of South Bihar

---------------------) Central University of Karnataka

---------------------) Central University of Rajasthan

---------------------) Central University of Jharkhand

---------------------) Central University of Kerala

---------------------) Central University of Andhra Pradesh

---------------------) Assam University, Silchar

---------------------) Central University of Gujarat

---------------------) Central University of Tamil Nadu

---------------------) DU i. e Delhi University

---------------------) Mahatma Gandhi Central University

---------------------) University of Hyderabad

---------------------) Jamia Millia Islamia

---------------------) Jawaharlal Nehru University

---------------------) Hemwati Nandan Bahuguna Garhwal University

---------------------) Visva-Bharati University

---------------------) University of Allahabad

---------------------) Rajiv Gandhi University

---------------------) Nalanda University

---------------------) Dr. Rajendra Prasad Central Agricultural University

---------------------) Tezpur University

---------------------) Nagaland University

---------------------) Central University of Odisha

---------------------) Pondicherry University

---------------------) Indian Maritime University

---------------------) English and Foreign Languages University

---------------------) Maulana Azad National Urdu University

---------------------) Babasaheb Bhimrao Ambedkar University

---------------------) Tripura University

---------------------) Rani Lakshmi Bai Central Agricultural University

---------------------) Rajiv Gandhi National Aviation University

---------------------) Banaras Hindu University

---------------------) Mizoram University

---------------------) North Eastern Hill University

---------------------) Guru Ghasidas Vishwavidyalaya,

---------------------) Central Tribal University of Andhra Pradesh

---------------------) The National Sanskrit University

---------------------) The Central Sanskrit University

---------------------) Shri Lal Bahadur Shastri National Sanskrit University

---------------------) Sikkim University

---------------------) Manipur University

---------------------) Dr. Harisingh Gour Vishwavidyalaya

---------------------) Mahatma Gandhi Antarrashtriya Hindi Vishwavidyalaya

---------------------) The Indira Gandhi National Tribal University

---------------------) AMU i. e Aligarh Muslim University

You can get more details about universities accepting CUET at:-

https://university.careers360.com/articles/cucet-participating-universities

So,

You need to give CUET only if you want to get admission in above universities otherwise you don't need to give it.

To help you further,

Other relevant CUET details are given below:-

>>>>>>>>>>>> CUET overview

>>>>>>>>>>>>   CUET ELIGIBILITY CRITERIA

Complete eligibility criteria coursewise is available at :- https://university.careers360.com/articles/cucet-eligibility-criteria

Thankyou