You can appear for below entrance exam-

1-CIVIL SERVICE EXAM ( IAS IPS )

In NIT Warangal, there are many programs which come under Mechanical Engineering department like Additive Manufacturing, Automobile Engineering, Machine Design etc as you have not mentioned which particular program you are asking for so it would be better if you could go through the below link -

Gate NIT Warangal

There are many universities/colleges available in India but it would be better if you could share which particular state you are asking for?
But generally, you can consider below names -

• Berhampur university, Berhampur
• Bharathiar University, Coimbatore
• South Gujarat University at Surat
• University of Delhi
• University of Pune
• University of

Engineering maths by bs great and aptitude by Nemo Singh and engineering mechanics by ss bhavikatti

Here are some of the books name for GATE 2018 Mechanical you can prefer.

Design of Machine Elements - Machine design - V.B. Bhandari

Engineering Mechanics-   Engineering Mechanics by Bhavikatti, Engineering Mechanics by Beer and Johnston, Engineering Mechanics by R K Rajput

Fluid Mechanics- Fluid Mechanics by R K

It's totally depends on you how much time you take to prepare for GATE exam.

You can follow below startegies to prepare for your exam-

• Check the past year papers and exam analysis.

• Divide the Topics broadly into Strong, Weak and to be read properly.

• Keep daily, weekly and monthly

Here are some of the books for Web Desgining you can prefer.

1. The Web Designer’s Idea Book, Vol 1 & 2
2. HTML & CSS: Design and Build Web Sites
3. HTML5 & CSS3 for Web Designer Bundles
4. Learning Web Design: A Beginner’s Guide
5. Designing with Web Standards

Good Luck!

You should opt for Government engineering college as it is government college and LJ Institute is private college. 

According, to Careers 360 it has AAA ratings which means Above Average. It has good Infrastructure, good faculty but placements are average.

To check the ratings and reviews of the college you