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1. C. To answer this question, simply compare
each rule to the answer choices, and cross off any
choice that violates the rule. Rule #1 is violated by
answer choice B, so B cannot be correct. Rule #3 is
violated by answer choice A, so A cannot be correct.
Rule #4 is violated by answer choice E, so E cannot be correct.
Rule #5 is violated by answer choice D, so D cannot be
correct. This leaves only answer choice C, which must
be the correct answer.
2. A. Begin by drawing seven dashes and placing
M on the third dash. We know that O must be next to M,
and cannot go into period 4, since period 4 must be
either S or P. Thus O must be placed in period 2 and S
must be placed in period 1. This will leave P to be
placed in period 4. Since U and T cannot be in
consecutive periods, they will need to go into spots 5
and 7 in either order, leaving N for period 6.
3. B. Choice A is incorrect because S must be
scheduled before M. Choice C is incorrect because S
must be scheduled before M, O and U. Choice D is
incorrect because if T is placed in 6, there will be no
valid space left for U. Choice E in incorrect because
S, M and O must be scheduled before U.
4. E. Begin by drawing seven dashes and
placing N on the third dash. We know that M and O will
need to go on the fifth and sixth dashes. (They cannot
occupy the fourth period, since that period must be
reserved for either S or P. Neither can they occupy the
sixth and seventh periods, since U must be scheduled
after them. They also cannot be scheduled for the first
and second periods, since S must be scheduled before
them.) Since M and O must be scheduled – in either
order – for the fifth and sixth periods, U will have to
be scheduled for the seventh period. Thus, U cannot be
scheduled for the sixth period.
5. E. Begin by drawing seven dashes
and placing T on the seventh dash. If T is the seventh
period, S cannot be the fourth period, because there
would not be enough room to schedule M, O, and U after S
but before T. Thus, P must be the fourth period. The
only periods now available to M and O are second and
third. (They cannot occupy the fifth and sixth periods,
since there would be no room to place U, and they also
cannot be scheduled for the first and second periods,
since S must be scheduled before them.) This will force
S into the first period. Since U and T cannot occupy
consecutive periods, U must be in period 5, the only
remaining open period that is not consecutive with T's period.
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