Dear Reader,
Hope you are doing well
No,you are not eligible for BSc nursing in indian army if your height is 146cm until as the minimum height criteria is 152 cm and for Gorkhas and candidates from North East India the minimum height required is 148 cm.
You can also go through the given link below to know more about the eligibility criteria and other things related to this course
https://medicine.careers360.com/articles/indian-army-bsc-nursing
Hope above information helps you a lot to clear all your doubts regarding this.
Have a nice day and great future ahead...
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