CAT Exam Numerical Ability Time and Work

A certain job is assigned to three persons - A, B, and C, such that exactly one of them works on the job on each day. The person who works on day 1, works on day 4, 7, .... person who works on day 2 works on day 5,8, ....... and person who works on day 3 works on day 6, 9, ....
If A, B and C work on day 1,2 and 3, the work gets over in 17 days.
If A, C and B work on day 1, 2, and 3, work gets over in 16 1/2 days.
If B, C and A work on day 1, 2 and 3, the work gets over in 16 1/3 days.

Find the time taken to complete the job if C, A and B work on day 1, 2 and 3.

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CAT Other Question
if a year has 360 days and all the months with 30 days."what is the probability that your birthday falls on a monday and that is an even day of an even month,given that january 1 is a monday? A shopkeeper has a faulty balance, in which the 2 pans have unequal weights. With his balance he weighs 10 kg of rice. However, the customer insists that the rice be kept in the other pan and weighted. The weight of the rice then turns out to be 8.5 kg. Find the actual weight of the rice.