Hello Karthik,
GATE exam preparation is more of a continuous preparation and depends on how much time you spend on self-studying, college classes are also necessary as your first learning of engineering subjects comes from there itself. Also a good college is essential as the professors are quite supportive and knowledgeable.
I believe JNTU will be a better choice for you as it being an old college has better opportunities and an environment of study.
Good luck!!
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