Download Aprotrain – Aptech Computer Education

Aprotrain – Aptech Computer Education
GMAT TEST
SECTION 1 – PROBLEM SOLVING
Time: 35 minutes
Numbers: All numbers are real numbers
Question 1
a
If the quotient /b is positive, which of the following must be true?
A) a > 0
B) b > 0
C) ab > 0
D) a – b > 0
E) a + b > 0
Question 2
2
If
= 1 , then y =
2
1+
y
A) –2
B) –1/2
C) 1/2
D) 2
E) 3
Question 3
Fermat primes are prime numbers that can be written in the form 2k + 1, where k is an integer and
a power of 2. Which of the following is NOT a Fermat prime?
A) 3 B) 5 C) 17 D) 31 E) 257
Question 4
A collection of books went on sale, and 2/3 of them were sold for $2.50 each. If none of the 36
remaining books were sold, what was the total amount received for the books that were sold?
A) $180
B)
$135
C)
$90
D)
$60
E)
$54
1
Question 5
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 pockets?
(A)
7
(B) 13
(C) 17
(D) 22
(E) 28
Question 6
Last year a baseball player made 63 errors. This year he made 42. What percent decrease was
there in the number of errors committed by the baseball player?
A) 21%
B) 33 1/3%
C) 50%
D) 66 2/3%
E) 90%
Question 7
If u > t, r > q, s > t, and t > r, which of the following must be true?
I.
u>s
II.
s>q
III.
u>r
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
Question 8
If a@b = ab - b + b², then 3@5=
A) 2
B) 8
C) 15
D) 21
E) 35
Question 9
A certain manufacturer produces items for which the production costs consist of annual fixed
costs totaling $130,000 and variable costs averaging $8 per item. If the manufacturer’s selling
price per item is $15, how many items must the manufacturer produce and sell to earn an annual
profit of $150,000?
2
(A) 2,858
(B) 18,667
(C) 21,429
(D) 35,000
(E) 40,000
Question 10
The number 2 – 0.5 is how many times the number 1 – 0.5?
A) 2
B) 2.5
C) 3
D) 3.5
E) 4
Question 11
If there are 664,579 prime numbers among the first 10 million positive integers, approximately
what percent of the first 10 million positive integers are prime number?
A) 0.0066%
B)
0.066%
C) 0.66%
D) 6.6%
E) 66%
Question 12
31
=
125
A) 0.248 B) 0.252 C) 0.284 D) 0.312 E) 0.320
Question 13
A club has 8 male and 8 female members. The club is choosing a committee of 6 members. The
committee must have 3 male and 3 female members. How many different committees can be
chosen?
(A) 112,896
(B) 3,136
(C) 720
(D) 112
(E) 9
Question 14
What is .04 × .03 in terms of percent?
A) 12%
B) 1.2%
3
C) 0.12%
D) 0.012%
E) 0.0012%
Question 15
The figure ABCDEFGH is a cube. AB = 10. What is the length of the line segment AF?
(A) 10
(B) 10 2
(C) 10 3
(D) 20
(E) 10 5
Question 16
The price of a certain television set is discounted by 10 percent, and the reduced price is then
discounted by 10 percent. This series of successive discounts is equivalent to a single discount of
A) 20%
B) 19%
C) 18%
D) 11%
E) 10%
Question 17
In how many arrangements can a teacher seat 3 girls and 3 boys in a row of 6 seats if the boys
are to have the first, third, and fifth seats?
A) 6 B) 9 C) 12 D) 36 E) 720
Question 18
Three business partners Q, R, and S, agree to divide their total profit for a certain year in the
ratios 2 : 5 : 8, respectively. If Q's share was $4,000, what was the total profit of the partners for
the year?
(A) $26,000
(B) $30,000
(C) $52,000
(D) $60,000
(E) $300,000
Question 19
Coins are dropped into a toll box so that the box is being filled at the rate of approximately 2
cubic feet per hour. If the empty rectangular box is 4 feet long, 4 feet wide, and 3 feet deep,
approximately how many hours does it take to fill the box?
4
A)
B)
C)
D)
E)
4
8
16
24
48
Question 20
If x, y, and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the
following is NOT necessarily an integer?
x+z
A)
z
y+z
B)
x
x+ y
C)
z
xy
D)
z
yz
E)
x
5