Hey.

The Syllabus of AILET includes a total of 5 sections. Here is the section wise syllabus

1. General Knowledge 

2. Legal Aptitude

3. English- including Comprehension questions 

4. Reasoning

5. Elementary Mathematics

In case you need an all inclusive  guide then the best one is- Universal's guide to CLAT and LLB. Other good guides for the same are- Arihant's guide for CLAT.and Pearson's guide to CLAT. You can use these books for AILET too as the syllabus for it as well as the level is similar to CLAT. Hence you can prepare for both simultaneously.

Here are some tips for preparation for each individual section of AILET along with individual sources for each.

General Knowledge - The GK Section includes both Static GK as well as current affairs. For gstatic general knowledge you can refer to the Concised size Pearson or the Arihant’s guide.

For current affairs, first of all develop a habit to read newspapers daily. The Hindu is the newspaper preferred by various law Aspirants. It not only builds a strong base for General knowledge but will also help you in your verbal ability section.

There is a site called GK today.in which you can go to for current affairs. They have daily quizes based on current affairs which has been proved very usefull for law entrances preparation. 

English - In case you are looking for a separate book For Vocabulary you can refer the book Word Power Made Easy by Normal Lewis.  You will come across various words while reading the newspaper too, prepare a list, go through them regularly and try to use them in sentences. You should read the Editorial section of the Hindu for your Reading section as well as Vocabulary section. For the reading section practicing your sample questions while timing it would prove usefull.

For grammar you can use the Wren & Martin.

Mathematics - The weightage of the maths section is very less. Also the syllabus included elementary level of Mathematics. Hence, if you purchase an all inclusive guide, then practicing for it would suffice.

Logical Reasoning - For Quantitative aptitude in case you are looking for a separate book then quantitative aptitude  by RS Aggarwal can be used. Other wise Universal's guide to CLAT or Arihant guide is also sufficient for AILET. Make sure that you go through the previous year question too.

Legal Aptitude - Universal’s guide to CLAT and LLB, Pearson CLAT Guide are considered the best for this section. Fo through the basics of handling the questions of this section at first, and then utilise it to practice from these guides or any other source online, previous year papers etc.

Make sure that you go through the past year question papers and practice them along with sample papers. This will help you to have an idea about how to attempt the paper, the level of questions for each section, and how to manage your time well.

If you are planning to take any coaching in institutes like Career launcher, Bulls eye etc then their reading material covers all aspects. You can refer the books listed above in case you need separate books for any or  the sections.

Best of luck!