RRB NTPC CBT I 29 Dec 2020 Shift 1 Paper

Two college friends A and B who met after a couple of years had a doubt about the birthday of their common friend C. According to A, C's birthday is after 12^th March but before 15^th March. But B remembered that C's birthday is after 13^th March but before 17^th March. Assuming both of them to be correct, on which date is C's birthday?