Directions : Six scientists A, B, C, D, E and F are to present at paper each at a one-day conference. Three of them will present their papers in the morning session before the lunch break where as the other three will be presented in the afternoon session. The lectures have to be scheduled in such a way that they comply with the following restrictions:
B should present his paper immediately before C’s presentation; their presentations cannot be separated by the lunch break.
D must be either the first or the last scientist to present his paper.
B could be placed for any of the following places in the order of presenters EXCEPT
Explanation
Solution
1. Analyze the Sessions and Constraints:
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Total Slots: 1,2,3,4,5,6
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Morning Session: Slots 1,2,3
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Afternoon Session: Slots 4,5,6
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Lunch Break: Between Slot 3 and Slot 4.
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The BC Rule: B must be followed immediately by C (BC pair), and they cannot be separated by lunch.
2. Test the positions for B:
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If B is second: C would be third. Both are in the morning session. This is Possible.
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If B is third: C would have to be fourth. However, Slot 3 is in the morning and Slot 4 is in the afternoon. The rule states they cannot be separated by the lunch break. This is Not Possible.
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If B is fourth: C would be fifth. Both are in the afternoon session. This is Possible.
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If B is fifth: C would be sixth. Both are in the afternoon session. This is Possible.
3. Conclusion:
B cannot be in the third position because it would force C to be in the fourth position, separating them by the lunch break, which violates the given restriction.
Final Answer:
B could be placed anywhere except the third place.
The correct option is (b).