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 K on Wednesday, which of the following must be true?
I. She sees I on Tuesday.
II. She sees M on Monday.
III. She sees L on Friday.

Options

A. I only
B. III only
C. I and III only
D. II and III only

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.
Enter the additional information on a diagram :
`{:("M TU W TH F"),(" K H "):}`
This means that F is also scheduled for Wednesday :
`{:("M TU W TH F"),(" KF H "):}`
L must be seen sometime after F :
`{:("M TU W TH F"),(" KF H L"):}`
Then, G must be seen before I.
`{:("M TU W TH F"),("G I KF H L"):}`
M and J will be seen on Monday and Tuesday, though not necessarily in that Order :

Our diagram confirms that statements I and III are true. Statement II, however, is only possibly true and, therefore, not part of the correct choice.