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Six lectures are scheduled in a week starting from Monday and ending on Sunday of the same week.. Computer Science is not on Tuesday or Saturday. Psychology is immediately after Organizational Behavior. Statistics is not on Friday and there is one day gap between Statistics and Research methods. One day prior to the schedule of Economics there is no lecture (as that day is the 'off' day and Monday is not theΒ 'off' day).

Question 75

Which of the following is the last lecture scheduled?

We are given that Monday is not an off day.
So, we will makes cases on the rest of days being off day.
Case 1: Tuesday is off day. This implies that Economics is scheduled on Wednesday. There is a one day gap between Statistics and Research Methods and Psychology and OB are consecutive which was not possible in this case.

Case 2: Wednesday is Off day. Economics will be on Thursday. Friday and Sunday will have Research methods and Statistics' lectures respectively. Monday and Tuesday will have Psychology and OB respectively but this will leave only Saturday for CS which is not possible. So, this case is also contradictory.

Case 3: Thursday is Off day. Economics will be on Friday. Monday and Wednesday will have Research methods and Statistics' lectures in any order. Saturday and Sunday will have Psychology and OB respectively but this will leave only Tuesday for CS which is not possible. So, this case is also contradictory.

Case 4: Friday is Off day. Economics will be on Saturday. There is a one day gap between Statistics and Research Methods and Psychology and OB are consecutive which was not possible in this case.

Case 5: Saturday is Off day. Economics will be on Sunday. Wednesday and Friday will have Research methods and Statistics' lectures in any order. Monday and Tuesday will have Psychology and OB respectively. This leaves Thursday for CS.
This is the only possible arrangement.

Monday - OB
Tuesday- Psychology
Wednesday - Stats
Thursday - CS
Friday - RM
Saturday - OFF day
Sunday - Eco.

From this arrangement, the lest lecture scheduled is of Economics.

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