Yes. National premier institutes like IITs and NITs are offering 5 year Integrated courses in M Sc/MA in Science, Humanities and Social sciences. IIT Mumbai, IIT Chennai, IIT Khargapur and NIT Rourkela offer M Sc Physics, M Sc Mathematics and Applied Chemistry . We have MA Economics at IIT Chennai. The admission procedure is those who get qualified in the JEE Advanced would be accommodated in IITs while those who made it in JEE Mains can figure out in NITs.