数学英语练习题2
-
Math Problems in English (2)
Directions: Each of the questions has
four answer choices. For each of these questions,
select the best
of the answer choices
given.
41.
A necklace is made by stringing N
individual beads together in the repeating pattern
red bead, green
bead, white bead, blue
bead, and yellow bead. If the necklace design
begins with a red bead and ends
with a
white bead, then N could equal
A. 54
B. 68
C. 76
D. 82
42.
John was assigned some math
exercises for homework. He answered half of them
in study hall. After
school
he
answered
7
more
exercises.
If
he
still
has
11
exercises
to
do,
how
many
exercises
were
assigned?
A. 36
B. 24
C. 12
D. 8
43.
The average of 3 different
positive integers is 100 and the largest of these
integers is 120, what is the
least
possible value of the smallest of these integers?
A. 1
B. 10
C. 61
D. 71
44.
If when a
certain integer x is divided by 5 the remainder is
2, then each of the following could also be an
integer EXCEPT
A. x/17
B. x/11
C. x/10
D. x/6
45.
Over the last three years a
scientist had an average yearly income of $$45,000.
The scientist earned 1.5
times as much
the second year as the first year and 2.5 times as
much the third year as the first year.
What was the scientist’s income the
second year?
A. $$9,000
B.
$$13,500
C. $$27,000
D. $$40,500
46.
Salesperson A’s compensation for any
week is $$360 plus 6% of the proportion of A’s
total sales above
$$1,000 for that week.
Salesperson B’s compensation for any week is 8% of
B’s total sales for that week.
For what
amount of total weekly sales would both
salespeople earn the same compensation?
A. $$21,000
B. $$18,000
C.
$$15,000
D.
$$4,500
47.
An
instructor
scored
a
student’s
test
of
50
questions
by
subtracting
2
times
the
number
of
incorrect
answers from the number of correct
answers. If the student answered all the questions
and received a
sore of 38, how many
questions did that student answer correctly?
A. 46
B.
47
C. 48
D. 49
48.
When you add 5 to a certain number,
then subtract -10, multiply by 4, and divide by 6,
you get 12. What is
the number?
A. -33
and k?
A. 572
A. 23
B.
550
C. 484
C. 13
D. 440
D.
9
50.
If x and y are prime
integers, which of the following CANNOT be the sum
of x and y?
B. 16
51.
To fill a
number
of vacancies,
an employer
must hire 3 programmers from among 6
applicants,
and 2
managers
from
among
4
applicants.
What
is
the
total
number
of
ways
in
which
she
can
make
her
decision?
A. 1,940
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B.
1/3
C.
3
D. 13 2/3
49.
If k is an integer greater than 44 and
less than 51, then which of the following could be
the product of 11
B. 132
C. 120
D. 60
52.
A $$500 investment and a $$1,500
investment have a combined yearly return of 8.5%
of the total of the two
investments.
If
the
$$500
investment
has
a
yearly
return
of
7%,
what
percent
yearly
return
does
the
$$1,500
investment have?
A. 9%
A. 20
B. 10%
B. 21
C. 10.5%
C.
24
D. 11%
D. 30
53.
All of the following have the same
number of distinct prime factors EXCEPT
54.
A haberdasher sells neckties for $$7
each and shirts for $$12 each. If he sells $$95
worth of ties and shirts,
what is the
least amount of ties he could have sold?
A. 3
B. 4
C. 5
D. 6
55.
A machine costs x dollars per day to
maintain and y cents for each unit it produces. If
the machine is
operated 7 days a week
and produces n units in a week, which of the
following is the total cost, in dollars,
of operating the machine for a week?
A. 7x+100yn
B. 7x+yn
C. (700x+yn)/100
D.
(7x+100yn)/100
56.
Coins are to
be put into 7 pockets so that each pocket contains
at least one coin. At most 3 of the pockets
are to contain the same number of
coins, and no two of the remaining pockets are to
contain an equal
number of coins. What
is the least possible number of coins needed for
the pocket?
A. 7
B. 13
C. 17
D. 22
J
57.
Jack is standing 30 yards due north of
point P
. Sue is standing 72
yards due east of point P
.
What is the shortest distance between
Jack and Sue?
A.
60 yards
C. 90 yards
B. 78 yards
D.
100yards
2
30<
/p>
P
72
S
58.
If n is a
prime number greater than 3, what is the remainder
when n
is divided by 12?
A. 0
B. 1
C. 2
D.
3
59.
In each
production lot for a certain toy, 25 % of the toys
are red and 75% of the toys are blue. Half the
toys
are size A and half are size B. If
10 out of a lot of 100 toys are red and size A,
how many of the toys are
blue and size
B?
A. 15
B. 25
C.
30
D.
35
60.
A
certain
copy
machine
produces
13
copies
every
10
seconds.
If
the
machine
operates
without
interruption, how many copies would it
produce in an hour?
A. 4,680
A.
6
B.
4,690
C. 4,710
C.
81
D. 4,732
61.
What is the twenty-first
term of the sequence given by
x
n
= 4n - 3 ?
B. 72
D. 87
62.
In a marketing survey for products A,
B, and C, 1000 people were asked
which
of the products, if any, they use. The three
circular regions in the
diagram
represent the numbers of people who use products
A, B, and C,
according to the survey
results. Of the people surveyed, a total of 400
use A, a total of 400 use B, and a
total of 450 use C. How many of the
people surveyed use exactly one of the
products?
A. 325
B. 250
C.
150
D.
100
A
125
75
125
100
B
C
63.
The
contents of a certain box consists of 14 apples
and 23 oranges. How many oranges must be removed
from the box so that 70 percent of the
pieces of fruit in the box will be apples?
A. 3
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B. 6
C. 14
D. 17