With a NEET score of 423 and a rank of 329,673 in 2024, securing a seat in United Medical College, Uttar Pradesh, will depend on several factors, including the specific year's cutoff, the category you belong to (General, OBC, SC/ST, etc.), and the number of seats available.

Factors to Consider:

1. Cutoff Trends: NEET cutoffs vary each year based on factors like the difficulty level of the exam, the number of candidates, and seat availability. In previous years, private medical colleges in Uttar Pradesh have had varying cutoffs, but with a score of 423, you may be on the borderline, especially if you belong to a reserved category.

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2. Reservation Quotas: If you belong to a reserved category (OBC, SC, ST), your chances of admission increase as the cutoffs are generally lower for these categories. For the general category, the competition is stiffer, and the cutoff tends to be higher.

3. Management Quota: Private medical colleges often have a management quota where the cutoff may be lower, but the fees are significantly higher. If you are open to this option, your chances of admission may improve.

4. Counseling Process: Participate actively in the UP NEET counseling process. Sometimes, cutoffs drop in subsequent rounds, and seats open up due to withdrawals.

In summary, while your chances at United Medical College, Uttar Pradesh, may not be guaranteed, especially for the general category, they are possible, particularly if you explore all available quotas and remain engaged in the counseling process.