Six teachers begin courses on Monday Tuesday Wednesday Thursday Friday and Saturday, respectively, and announce their intentions of lecturing at intervals of 2,3,4,1,6 and 5 days respectively. Sunday lectures are forbidden. When first will all the teachers feel compelled to omit a lecture? Use CRT.
(a) 354
(b) 371
(c) 432
(d) 213
I got this question during an interview.
This intriguing question originated from Number Theory topic in chapter More Number Theory of Cryptograph & Network Security