My NIT OBC-NCL rank is 10709 and CRL rank is 42307. Which NIT and branch may I get?

You may get NIT Warangal or such higher NIT's with non-technical branches or lower NIT's but having better placements such as MANIT, MVNIT, NIT Raipur, etc.

You can get good NITs with core branches even with CSE branch but in CSAB round. In JOSAA rounds, you can hardly get good colleges with good branch.

You should check the previous year's OBC cutoff's of your HOMESTATE NIT first and then others. https://josaa.nic.in/josaaorcrarchieve/Result/OpeningClosingRankArchieveN.aspx?Year=2017 This will provide a good idea of your selection. REGISTRATION - 15JUNE TO 25 JUNE FIRST ROUND- 27 JUNE Take care of