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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 12th March but before 15th March. But B remembered that C's birthday is after 13th March but before 17th March. Assuming both of them to be correct, on which date is C's birthday?

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 12th March but before 15th March. But B remembered that C's birthday is after 13th March but before 17th March. Assuming both of them to be correct, on which date is C's birthday? Correct Answer ​14<sup>th</sup> March

According to A, C's birthday is after 12th March but before 15th March.

According to A, C's birthday is either on 13th or 14th of March.

But B remembered that C's birthday is after 13th March but before 17th March.

According to B, C's birthday is either on 14th or 15th or 16th of March.

Assuming both of them to be correct, the definite date of C’s birthday is 14th of March.

Hence, ‘​14th March’ is the correct answer.

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