In case Nicholas and Antonio share dinner duty on Monday of some week, and if Antonio and Jeremy share dinner duty on Thursday of the same week, which of the following would be true for that week?

- Antonio is on dinner duty alone on Tuesday.
- Jeremy is on dinner duty alone on Wednesday.
- Nicholas and Jeremy share dinner duty on Wednesday.
- Nicholas is on duty alone on Tuesday, and Antonio is on breakfast duty alone on Wednesday.
- Jeremy is on breakfast duty alone on Tuesday, and Nicholas is on breakfast duty alone on Wednesday.

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Which among the following could be true of some four-day period?

- On three of the four days, pairs of chefs were on dinner duty.
- On one of the four days, all three chefs were on dinner duty.
- Antonio drew twice as many dinner assignments as did Jeremy.
- Nicholas drew three times as many dinner assignments as did Antonio.
- Both Nicholas and Antonio drew three times as many dinner assignments as did Jeremy.

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B could be placed for any of the following places in the order of presenters EXCEPT

- first
- second
- third
- fourth
- fifth

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In case F is to present his paper immediately after D presents his paper, C could be scheduled for which of the following places in the order of presenters?

- First
- Second
- Third
- Fourth
- Fifth

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In case F and E are the fifth and sixth presenters respectively then which of the following must be true?

- A is first in the order of presenters.
- A is third in the order of presenters.
- A is fourth in the order of presenters.
- B is first in the order of presenters.
- C is fourth in the order of presenters.

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In case C is to be the fifth scientist to present his paper, then B must be

- first
- second
- third
- fourth
- sixth

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