Question

Three Vice Presidents (VP) regularly visit the plant on different days. Due to labour unrest, VP (HR) regularly visits the plant after a gap of 2 days. VP (Operations) regularly visits the plant after a gap of 3 days. VP (Sales) regularly visits the plant after a gap of 5 days. The VPs do not deviate from their individual schedules. CEO of the company meets the VPs when all the three VPs come to the plant together. CEO is on leave from January 5th to January 28th, 2012. Last time CEO met the VPs on January 3, 2012. When is the next time CEO will meet all the VPs?

A.
February 6, 2012
B.
February 7, 2012
C.
February 8, 2012
D.
February 9, 2012
E.
None of the above

Accepted Answer

C. A gap of 2 days means every 3rd day. A gap of 3 days means every 4th day. A gap of 5 days means every 6th day. $ text{LCM}(3, 4, 6) = 12$ days. So all 3 VPs meet every 12th day after January 3: - Jan 15 - Jan 27 - Feb 8 (since CEO returns on Jan 29, the first meeting CEO can attend is Feb 8, 2012).

Three Vice Presidents Plant Visits

Explanation

Practise this under exam conditions