Due to the exam's pressure I am unable to take proper sleep but I am happy that I am working hard to achieve my dreams

Good luck for your exams and may your all dreams come true . Which exams are you going through ?

got up at 5:30 a.m. and I was still in half sleep because last night I slept at 2:15 a.m.

You slept for about an hour only . You deprived yourself of sleep which is not a good practice ar all . I would suggest to balence your work /sleep cycle to get optimum output .

Regards