Hi there,
No you can't get mechanical engineering branch at Ju under 687 general rank, your rank must have been under 400 for that branch, although you can get other branches at Ju which are good for placement, don't go after branch to any other college as JU is one the finest colleges better than many IITS hemce just get in to JU in any branch you can change it after first year.
I hope this help
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