Dear aspirant,
According to your question, mechanical engineering at jamshedpur and patna are almost equal . Jalandhar is a bit lower than both of it. According to placements , i would recommend you to go for nit patna as it's placements are increasing every year. And according faculty Jamshedpur has a better one.
But i suppose placements does matter to students. Patna is a little better than both of the two.
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