(c) VP (HR) visits after a gap of 2 days i.e. he/ she visits on every third day. Similarly VP (operations) visits on every fourth day and VP (sales) visits on every sixth day. Hence, all will visit together on a day which is LCM of 3, 4 and 6 i.e., on 12th day. Now, when they visited together on January 3, 2012. Hence they will visit on 15th Jan, 27th Jan, 8th Feb, 20th Feb and so on. Hence (c) is the correct option