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Hello,
For admission to Engineering courses in Gujarat government college is done through GUJCET. 60% weightage in 10+2 percentile and 40% weightage is considered to prepare a merit list. But as you say that you have not scored well in GSEB board it is better to go for colleges in Rajasthan. You have domicile of Rajasthan and if you score well in JEE Main you may have chances of getting seat in choice of your college.
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