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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.

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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

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Right option is (b) 371

The explanation is: Use CRT to get the answer as 371.

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