and 6
–100
=only.
In the first choice,
x
can be
factored out and canceled:
Since
g
is an integer, so too is
g
2
+ 5
g
.
In the second choice,
g
2
is certainly an integer, but
x
2
is only an integer
if
x
= 3 (since 3 is the only prime number divisible by 3), so the second choice
is not necesarily an integer.
When the third choice is simplified, 6
–100
= 3
g
–
= 3
g
– 25
g
2
results; since
g
is an integer, 3
g
– 25
g
2
is also an integer.
Chapter 16
Word Problems
In This Chapter…
Word Problems
Word Problems Answers
Word Problems
For questions in the Quantitative Comparison format (“Quantity A” and “Quantity B” given), the
answer choices are always as follows:
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Where answer choices do not appear on Quantitative Comparison questions in this book, you should
choose A, B, C or D based on the above.
For questions followed by a numeric entry box
, you are to enter your own answer in the
box. For questions followed by a fraction-style numeric entry box
, you are to enter
your answer in the form of a fraction. You are not required to reduce fractions. For example, if the
answer is
, you may enter
or any equivalent fraction.
All numbers used are real numbers. All figures are assumed to lie in a plane unless otherwise
indicated. Geometric figures are not necessarily drawn to scale. You should assume, however, that
lines that appear to be straight are actually straight, points on a line are in the order shown, and all
geometric objects are in the relative positions shown. Coordinate systems, such as
xy
-planes and
number lines, as well as graphical data presentations, such as bar charts, circle graphs, and line
graphs,
are
drawn to scale. A symbol that appears more than once in a question has the same meaning
throughout the question.
1. If a taxi charges $8.00 for the first mile, and $1.00 for each additional
quarter mile, how much does the taxi charge for a 4.5 mile ride?
(A)
$16.00
(B)
$18.00
(C)
$22.00
(D)
$24.00
(E)
$26.00
2. If Nash had 12 grandchildren and three times as many granddaughters as
grandsons, how many granddaughters did he have?
(A)
3
(B)
4
(C)
6
(D)
8
(E)
9
3. If Deepak pays 30% of his income in taxes and his take-home pay after
taxes is $2,800 per month, how much does Deepak make per month, before
taxes?
4. A movie theater charges $6 per ticket, and pays $1,750 of expenses each
time a movie is shown. How many tickets must be sold each time a movie
is shown for the theater to make $1 of profit per ticket?
(A)
300
(B)
325
(C)
350
(D)
375
(E)
400
5. Arnaldo earns $11 for each ticket that he sells, and a bonus of $2 per ticket
for each ticket he sells beyond the first 100 tickets. If Arnaldo was paid
$2,400, how many tickets did he sell?
(A)
120
(B)
160
(C)
180
(D)
200
(E)
250
6. Attendees at a charity dinner each gave at least $85 to the charity. If
$6,450 was collected, what is the maximum number of people who could
have attended?
(A)
73
(B)
74
(C)
75
(D)
76
(E)
77
7. Eva meditates for 20 minutes at a time, with a 5-minute break in between
sessions. If she begins meditating at 10:10, what time will it be when she
completes her third 20-minute meditation session?
(A)
11:20
(B)
11:25
(C)
11:50
(D)
11:55
(E)
12:25
8. A washing machine takes 35 minutes to wash one load of laundry, and in
between washing different loads of laundry it takes Derek 2 minutes to
unload and another 4 minutes to reload the machine. If the washing
machine begins washing one load of laundry at 12:30pm, how many loads
of laundry can Derek wash and unload before 6:35pm?
(A) 8
(B) 9
(C)
10
(D)
14
(E)
15
Kendra is more than 5 years old.
9.
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