Arithmetic
It is useful to note that although the departures
discussed all lie between 9:00 a.m. and 6:00 p.m.,
there is no information concerning when the
first departures took place during this time other
than what is necessary for the information to be
consistent. For example, since departures to both
Atlanta and New York City took place at 1:00
p.m., the first departure to either of these cities
could not have occurred after 1:00 p.m.
(1) Given that departures to both Atlanta and
New York City took place at 10:00 a.m., it is
not possible to determine whether
simultaneous departures to these cities
occurred between 1:00 p.m. and 3:00 p.m.
For example, it is possible that departures to
both Atlanta and New York City took place
every 15 minutes beginning at 9:15 a.m.,
and thus it is possible that simultaneous
departures to both these cities occurred
between 1:00 p.m. and 3:00 p.m. However,
it is also possible that departures to Atlanta
took place every 3 hours beginning at
10:00 a.m. and departures to New York City
took place every 15 minutes beginning at
9:15 a.m., and thus it is possible that no
simultaneous departures to these cities
occurred between 1:00 p.m. and 3:00 p.m.;
NOT sufficient.
(2) Given that departures to New York City
took place every 15 minutes, the sameexamples used in ( (^1) ) can be used to show
that it is not possible to determine whether
simultaneous departures to these cities
occurred between 1:00 p.m. and 3:00 p.m.;
NOT sufficient.
Taking ( (^1) ) and (2) together, it is still not possible
to determine whether simultaneous departures to
these cities occurred between 1:00 p.m. and 3:00
p.m. because both (1) and ( (^2) ) are true for the
examples above.
Th e correct answer 1s E·
both statements together are still not sufficient.
5.5 Answer Explanations
DS07206
219.Of the total number of copies of Magazine X sold last
week, 40 percent were sold at full price. What was the
total number of copies of the magazine sold last week?
(1) Last week, full price for a copy of Magazine X
was $1.50 and the total revenue from full-price
sales was $112,500.
(2) The total number of copies of Magazine X sold
last week at full price was 75,000.
Algebra
For the copies of Magazine X sold last week, let n
be the total number of copies sold and let $p be
the full price of each copy. Then for Magazine X
last week, a total of 0.4n copies were each sold at
price $p. What is the value of n?
(^1 ) Given that $p = 1.50 and (0.4n)($p) =
$112,500, it follows that (0.4n)(1.5) =
112,500, or 0.6n = 112,500, or
n =112,^500 ·SUFFICIENT.
0.6
(2) Given that 0.4n = 75,000, it follows that
Th
n =75,^000 ·SUFFICIENT.
0.4
e correct answer 1s D· ，
each statement alone is sufficient.
DS11614
- If p, s, and ta re positive, is IPS - p�> p(s - t)?
(1) P<S
(2) s < tAlgebra
Since p is positive, it follows that
lp(s - t) I = IPI is^ - ti^ = pis^ - ti. Therefore,^ the^ task
is to determine if is - ti > s - t. Since is - ti = s - t
if and only ifs - t之0, it follows that is - ti > s - t
if and only ifs - t < 0.(1) This indicates that p < s but does not provide
information about the relationship betweens
and t. For example, if p = 5, s = 10, and t = 15,
then p <sands< t, but if p = 5, s = 10, and t
= 3, then p < s ands> t; NOT sufficient.
(2) This indicates thats< t, or equivalently,
s - t < O; SUFFICIENT.Th e correct answer ts B;
statement 2 alone is sufficient.