A lawyer must schedule appointments with eight clients F, G, H, I, J, K, L and M during one week, Monday through Friday. She must schedule two appointments for Monday, Tuesday and Wednesday and one each for Thursday and Friday.
(i) She must see H on Thursday .
(ii) She must see G on a day before the day on which she sees I.
(iii) She must see J on a day before the day on which she sees L.
(iv) She must sees F on a day before the day on which she sees L.
(v) She must see K and F on the same day.
If the lawyer sees I and L on the same day, which of the following is a complete and accurate listing of the days on which she could see them?

Options

A. Monday
B. Tuesday
C. Wednesday
D. Monday and Wednesday

Answer

C

Explanation

Here, more than one individual can be placed in a given position (more than one appointment can be schedule for certain days.)
start by summarizing the information :
H = Th
G `lt` I
(J+F) `ltL`
K = F
You might notice that there is one further conclusion to be drawn. Since K and F must be scheduled for the same day, and since F must come before L, we can infer that K also comes before L. Apart from that, there do not appear to be any further important inferences to be drawn. So we go to the questions.
There are two ways to approach this question. You can use a direct approach, in which you work with the initial conditions to track down all of the possibilities. The problem with the direct approach is that you will always worry that you haven.t got all the possibilities. The alternative approach is to work backwards from the answer choices. Here.s how this approach works. (Note it carefully)
Does (1) contain all and only the possible days ? No. I must follow G, therefore, I cannot be seen on Monday, and we eliminate (1). What about (2) ? As for Tuesday, L must follow later in the week than J, F and K, so L cannot be seen on Tuesday - and we eliminate (2) . At thsi point, we contains "Tuesday". The only day on which both I and L could have appointments is Wednesday. For example:
`{:("M TU W TH F"),("JG KF IL H M"):}`