Study the following information carefully to answer the questions given below. Five courses '1', '2', '3', '4' and '5', each of one month duration, are to be taught from June to October, one after the other though not necessarily in the same order. They are taught by professors 'L', 'M', 'N', 'O', 'R'. 'L' teaches course '2' but not in the month of September or October. 'M' teaches course '1' in the month of August. 'N' teaches in the month of June but does not teach course '3' or course '4'. 'R' teaches course '4' in the month of September. Which course is taught in the month of June? Option 1) 1 Option 2) 3 Option 3) 5 Option 4) 4 Option 5) None of these
Question
Study the following information carefully to answer the questions given below. Five courses '1', '2', '3', '4' and '5', each of one month duration, are to be taught from June to October, one after the other though not necessarily in the same order. They are taught by professors 'L', 'M', 'N', 'O', 'R'. 'L' teaches course '2' but not in the month of September or October. 'M' teaches course '1' in the month of August. 'N' teaches in the month of June but does not teach course '3' or course '4'. 'R' teaches course '4' in the month of September. Which course is taught in the month of June? Option 1) 1 Option 2) 3 Option 3) 5 Option 4) 4 Option 5) None of these
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Answer
The given problem involves arranging five courses labeled as '1', '2', '3', '4', and '5', each to be taught in different months from June to October. The courses are taught by professors 'L', 'M', 'N', 'O', and 'R'. Based on the provided conditions, we need to determine which course is taught in June.
Step-by-Step Analysis:
- Condition A: Professor L teaches course '2', but not in September or October.
- Condition B: Professor M teaches course '1' in the month of August.
- Condition C: Professor N teaches in June but does not teach course '3' or course '4'.
- Condition D: Professor R teaches course '4' in the month of September.
Arranging the Courses and Professors:
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From Condition B, we know:
- August: Course '1' taught by Professor M.
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From Condition D, we know:
- September: Course '4' taught by Professor R.
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From Condition C:
- June: Professor N teaches either course '2' or course '5' (as course '3' and course '4' are excluded).
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From Condition A:
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Professor L teaches course '2' but not in September or October, so:
- July is the only remaining option for course '2'.
- Therefore, July: Course '2' taught by L.
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Professor L teaches course '2' but not in September or October, so:
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This leaves October for course '3':
- October: Course '3' taught by Professor O.
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Finally, according to Condition C and the only remaining course:
- June: Professor N teaches course '5'.
Final Arrangement:
[ \begin{array}{|c|c|c|} \hline \text{Course} & \text{Months} & \text{Professors} \ \hline 1 & \text{August} & \text{M} \ \hline 2 & \text{July} & \text{L} \ \hline 3 & \text{October} & \text{O} \ \hline 4 & \text{September} & \text{R} \ \hline 5 & \text{June} & \text{N} \ \hline \end{array} ]
Conclusion:
The course taught in the month of June is course '5' taught by Professor N. Therefore, the correct answer is Option (3) 5.
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