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I can provide you with some general information about the facilities and classes in the department. Lucknow University is a renowned institution in India and has a well-established Mathematics department. The department offers undergraduate, postgraduate, and doctoral programs in Mathematics. The facilities provided by the department include a library, computer labs, and classrooms equipped with audio-visual aids. As for the regularity of classes, the department follows a strict academic schedule and conducts regular classes as per the timetable. However, any unforeseen circumstances such as strikes, natural calamities, or other emergencies can disrupt the regular schedule of classes.

The Central Teaching Eligibility Test, commonly known as CTET is a national level exam. Aspirants are required to clear the exam to attain eligibility to be able to teach in government schools. CTET exam is held in January every year. It is conducted to determine the eligibility of Classes 1 to 8 teachers. Students aspiring to appear for CTET must follow the below steps to apply:

• Candidates are required to visit the official website - ctet.nic.un
• Click on the 'Apply CTET link' and new registration.
• Students need to fill all the required particulars with required details. 
• Fill the complete application form and upload the scanned documents with a photograph.
• Cross-check the information on application form and pay the application fee.
• Submit and save the page for future reference. 

As per the TS ICET notification, Hyderabad is divided into four test zones for TS ICET exam. While filling the form, candidates can check the TSICET test centre zone wise location to get the centre in particular areas of the state.

Four zones in Hyderabad is divided with the following locations:

Hyderabad (I): Candidates selecting Hyderabad-I as the preferred test city can expect the test centre in any of the following locations:

• Aushapur
• Aids
• Boduppal
• Cherlapally IDA
• Ghatkesar
• Keesara
• Korremula
• Moula Ali
• Nacharam
• Secunderabad
• Uppal Depot

Hyderabad (II): Candidates selecting Hyderabad (II) as the preferred test city can expect the test centre in any of the following locations:

• Dundigal
• Maisammaguda
• Medchal
• Old Palwal

Hyderabad (III): Candidates selecting Hyderabad (III) as the preferred test city can expect the test centre in any of the following locations:

• Hayath Nagar
• Nagole
• Ibrahimpatnam
• Karmanghat
• LB Nagar
• Nadargul
• Ramoji Film City
• Shamshabad

Hyderabad (IV): Candidates selecting Hyderabad (IV) as the preferred test city can expect the test centre in any of the following locations:

• Himayath Sagar
• Moinabad
• Gandipet
• Hafeezpet
• Bachupally
• Kukatpally
• Shaikpet

Candidates can find the city wise test locations at https://www.shiksha.com/mba/tsicet-exam-centre.

As per the current notification, there is no limit on the number of attempts allowed for AILET (All India Law Entrance Test). Candidates can take the exam as many times as they wish, provided they fulfill the eligibility criteria for the exam. However, it is important to note that the eligibility criteria for AILET may change from year to year, and the number of attempts allowed may be specified in the notification. It is recommended to check the official website of National Law University, Delhi (NLU Delhi) regularly for updates on the AILET exam and its eligibility criteria.

It's crucial to remember that the AILET exam takes place only once a year. Therefore, candidates can only take the exam once in a given year. If they do not clear the AILET exam, they must wait until the following year to attempt it again. They need to make sure that they meet the eligibility criteria of the exam for the next year. Candidates should prepare thoroughly and take the exam seriously each time they attempt it.