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DILR Practice Set – 38

DILR Practice Set – 38

Refer to the data below and answer the questions that follow


South Pacific Conference on Social Sciences was held in the campus of the University of South Pacific in Suva. Papers on seven Social Science subjects, namely Economics, History, Sociology, Poli cal Science, Law, Foreign Policy and Interna onal Finance were presented at the conference.

The conference was held over five days: Monday to Friday. On each day, there were six sessions of one hour each, out of which the first three sessions are held before the lunch break and the next three sessions are held a er the lunch break. Paper on exactly one subject was presented in each session.

Following were the constraints on scheduling the paper presentations:
1. The first session held every day had a paper either on Economics or History.
2. Whenever the papers on Sociology were presented, they were presented in two consecu ve sessions without any lunch break between the two sessions.
3. At least one paper on History was presented every day. However, the papers on History were not presented in consecu ve sessions.
4. At most one paper on Foreign Policy, Interna onal Finance and Law could be presented on each day.
5. The paper on Poli cal Science was presented in the last session of the day, whenever it was presented.
6. The papers on Law were presented in the 3 session of the day, whenever it was presented. No paper on Law was presented on Tuesday.
7. The paper on Foreign Policy was not presented on Monday or Tuesday.
8. In all, 6 papers on Economics, 8 papers on History, 6 papers on Sociology, 3 papers on Poli cal Science, 2 papers on Law, 3 papers on Foreign Policy and 2 papers on Interna onal Finance were presented in the conference.

Following is the par ally filled schedule of the papers presented in the conference: image

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1. Out of the six papers on Sociology presented in the conference, the days and the sessions of their presentation can be determined for how many of the papers?
  • 0
  • 2
  • 4
  • 6
Correct Answer: C (4). From point 7, the two papers on Law were presented in the 3 sessions on Thursday and Friday. From points 1 and 2, papers on Sociology were presented in the 2 and 3 sessions on Tuesday, 4 and 5 sessions on Wednesday and 4 and 5 sessions on Thursday. From point 8, we need to account for exactly one paper on Foreign policy on Wednesday, Thursday and Friday. From point 3, at least one paper on History was presented everyday. From point 6, on two days out of Tuesday, Thursday and Friday, the 6 session had a paper on Political Science. So far we have the following:image We have yet to account for one paper on International Finance, one paper on Foreign policy, two papers on Economics and three papers on History. Hence, [4]

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2. Which of the following cannot be the paper presented in the 2 session on Friday?
  • International Finance
  • Economics
  • Sociology
  • History
Correct Answer: C (Sociology). From point 7, the two papers on Law were presented in the 3 sessions on Thursday and Friday. From points 1 and 2, papers on Sociology were presented in the 2 and 3 sessions on Tuesday, 4 and 5 sessions on Wednesday and 4 and 5 sessions on Thursday. From point 8, we need to account for exactly one paper on Foreign policy on Wednesday, Thursday and Friday. From point 3, at least one paper on History was presented everyday. From point 6, on two days out of Tuesday, Thursday and Friday, the 6 session had a paper on Political Science. So far we have the following:image We have yet to account for one paper on International Finance, one paper on Foreign policy, two papers on Economics and three papers on History. Hence, [3].

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3. Additional information for Q.31 and Q.32: A paper on History was presented in the 1 session on Wednesday, a paper on International Finance was presented in the 2 session on Friday. Out of the eight papers on History presented in the conference, the days and the sessions of their presentation can be determined for how many of the papers?
From point 7, the two papers on Law were presented in the 3 sessions on Thursday and Friday. From points 1 and 2, papers on Sociology were presented in the 2 and 3 sessions on Tuesday, 4 and 5 sessions on Wednesday and 4 and 5 sessions on Thursday. From point 6, on two days out of Tuesday, Thursday and Friday, the 6 session had a paper on Political Science. From point 8, we need to account for exactly one paper on Foreign policy on Wednesday, Thursday and Friday. From point 3, at least one paper on History was presented everyday. So far we have the following:image We have yet to account for one paper on International Finance, one paper on Foreign policy, two papers on Economics and three papers on History. As a paper on History was presented in the first session on Wednesday and the papers on History cannot be presented in consecutive sessions we get the following: Updated conference schedule table The remaining blank spaces can account for the remaining two papers on History and one paper on Economics, in any order.

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4. Additional information for Q.31 and Q.32: A paper on History was presented in the 1 session on Wednesday, a paper on International Finance was presented in the 2 session on Friday. What can be the maximum possible number of instances where the papers on Economics and History were presented consecutively, not necessarily in the same order?
From point 7, the two papers on Law were presented in the 3rd sessions on Thursday and Friday. From points 1 and 2, papers on Sociology were presented in the 2 and 3 sessions on Tuesday, 4 and 5 sessions on Wednesday and 4th and 5th sessions on Thursday. From point 8, we need to account for exactly one paper on Foreign policy on Wednesday, Thursday and Friday. From point 3, at least one paper on History was presented everyday. From point 6, on two days out of Tuesday, Thursday and Friday, the 6 session had a paper on Political Science. So far we have the following:image We have yet to account for one paper on International Finance, one paper on Foreign policy and two papers on Economics and three papers on History. As a paper on History was presented in the first session on Wednesday and the papers on History cannot be presented in consecutive sessions we get the following: image The remaining blank spaces can account for the remaining two papers on History and one paper on Economics, in any order. In order to maximize the number of instances where the papers on Economics and History were presented consecutively, a paper on History must be presented in the 5 session on Monday and the 2 session on Thursday. This would give us the maximum possible number of instances as 5. Therefore, the required answer is 5