14. Taran thought of a whole number and then multiplied it by either 5 or 6 . Krishna added 5 or 6 to Taran's answer. Finally Eshan subtracted either 5 or 6 from Krishna's answer. The final result was 73 . What number did Taran choose?
A 10
B 11
C 12
D 13
E 14
14. C Let Taran's original number be $x$. When he multiplied it, he obtained either $5 x$ or $6 x$. When Krishna added 5 or 6 , his answer was one of $5 x+5,5 x+6,6 x+5$ or $6 x+6$. Finally, when Eshan subtracted 5 or 6 , his answer was one of $5 x, 5 x+1,6 x, 6 x+1$, $5 x-1,5 x, 6 x-1$ or $6 x$. Since the final result was 73 and since 73 is neither a multiple of 5 or 6 , nor 1 less than a multiple of 5 or 6 , nor 1 more than a multiple of 5 , the only suitable expression for the answer is $6 x+1$. The equation $6 x+1=73$ has solution $x=12$. Hence the number Taran chose is 12 .