[APTITUDE TEST PREPARATION]
NADEEM ARAIN ACADEMY
Ph: 0333-2841680
GENERAL TEST – 01
1)
Which of the following fractions is the smallest?
a)
2)
3
4
b)
5
6
c)
7
8
d)
19
24
e)
13
15
If a certain gas tank is 1/4 full, and after adding G gallons of gas the tank is 7/8 full, what is the capacity
of the tank?
a)
5G
8
b)
8G
5
c)
8G
7
d)
7G
8
e) 4G
3)
A photographic negative measures 1 78 inches by 2 41 inches. If the longer side of the printed picture is
to be 4 inches, how many inches long will the shorter side of the printed picture be?
a) 2 38
b) 2 21
c) 3
d) 3 13
e) 3 38
4)
Bobby sent $27 to the newspaper dealer for whom he delivers papers, after deducting a 10%
commission. How many papers did he deliver if papers sell for 20 cents each?
a) 135
b) 150
c) 160
d) 540
e) 600
5)
In an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. What is the
total number of votes polled?
(Hotel Management. 2003)
a) 672
b) 700
c) 749
d) 848
6)
If n is the first of two consecutive odd integers, which equation could be used to find these two integers
if the difference of their squares is 120?
a) (n + 1) – n2 = 120
b) n2 – (n + 2) = 120
c) [(n + 2) – n]2 = 120
d) (n + 2)2 – n2= 120
e) n2 – (n + 1)2 = 120
7)
In the diagram below, if AB is parallel to CD, what is the degree measure of BED? (Note: The figure
is not drawn to scale.)
A
B
40o
E
30o
C
a) 40
8)
b) 50
c) 60
D
d) 70
If x + 3 is a multiple of 3, which of the following is not a multiple of 3?
a) x
b) x + 6
c) 6x + 18
d) 2x + 6
115
e) 80
e) 3x+ 5
[APTITUDE TEST PREPARATION]
NADEEM ARAIN ACADEMY
Ph: 0333-2841680
9)
If the legislature passes a particular bill by a ratio of 5 to 4, and if 900 legislators voted in favor the bill,
how many voted against it?
a) 400
b) 500
c) 720
d) 760
e) 800
10)
How many fifths are in 280?
a) 1.4
b) 2.8
11)
c) 14
What is the average (arithmetic mean) of .49, 34 , and 80%?
a) .073
b) .075
c) .72
d) 28
e) 56
d) .75
e) .78
12)
In a purse containing only nickels and dimes, the ratio of nickels to dimes is 3:4. If there are 28 coins
altogether, what is the value of the dimes?
a) $1.20
b) $1.40
c) $1.60
d) $1.70
e) $2.10
13)
If x 2 + 3 = x + 1, then x =
a) –3
b) –1
c) 0
d) 1
e) 2
14)
A container holds 10 liters of a solution which is 20% acid. If 6 liters of pure acid are added to the
container, what percent of the resulting mixture is acid?
a) 5
b) 10
c) 20
d) 33 31
e) 50
15)
In a circle whose centre is O, arc AB measures 85o. What is the degree measure of ABO?
a) 45
b) 47.5
c) 85
d) 95
e) 137.5
16)
If x < 0 and 0 < y < 1, which of the following has the largest value?
a) x+ y
17)
b) y – x
c)
x
y
d) xy
e) x3 – y
M college students agree to rent an apartment for D dollars per month, sharing the rent equally. If the
rent is increased by $100, what amount must each student contribute?
a)
D
M
b)
D
+ 100
M
c)
D + 100
M
d)
M
+ 100
D
e)
M + 100
D
18)
If the value of XYZ Company stock drops from $25 per share to $21 per share, what is the percent of
decrease?
a) 4
b) 8
c) 12
d) 16
e) 20
19)
A’s income is 25% more than B’s income. Bs income in terms of A’s income is
a) 75%
b) 80%
c) 90%
d) 96%
20)
A portion of $7,200 is invested at a 4% annual return, while the remainder is invested at 5% annual
return. If the annual income from both portions is the same, what is the total income from the two
investments?
a) $160
b) $320
c) $400
d) $720
e) $1,600
116
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[APTITUDE TEST PREPARATION]
NADEEM ARAIN ACADEMY
21)
AB is the diameter of a circle whose center is O. If the coordinates of O are (2, 1) and the coordinates
of B are (4, 6), what are the coordinates of A?
a) (3,3 21 )
b) (1,2 21 )
c) (0,−4)
d) (2 21 ,1)
e) (− 1−
, 2 21 )
22)
At 10 a.m. two trains started traveling toward each other from stations 287 miles apart. They passed
each other at 1:30 p.m. the same day. If the average speed of the faster train exceeded the average
speed of the slower train by 6 miles per hour, which of the following represents the speed of the faster
train, in miles per hour?
a) 38
b) 40
c) 44
d) 48
e) 50
Oranges are bought at the rate of 10 for Rs. 25 and sold at the rate of 9 for Rs. 25. The profit is:
23)
a) 9
1
%
11
1
9
c) 11 %
b) 10%
d) 12
1
%
2
24)
A gear having 20 teeth turns at 30 revolutions per minute and is meshed with another gear having 25
teeth. At how many revolutions per minute is the second gear turning?
a) 22 21
b) 24
c) 30
d) 35
e) 37 21
25)
The average of seven numbers is 84. Six of the numbers are : 86, 82, 90, 92, 80, and 81. What is the
seventh number?
a) 79
b) 85
c) 81
d) 77
e) 76
26)
If 2y = 22 – 6x and 5x = 2y + 11, then x =
a) 1
b) 3
27)
1
2
29)
30)
31)
d) 11
e) 30
180 + 13 45 − 52 20 is equivalent to which of the following?
a) 3 10 + 15 − 2 2
28)
c) 10
b) 165 5
c)
d) 24
5
5
97
e) 30
Lyle is 23 years old and Melanie is 15 years old. How many years ago was Lyle twice as old as
Melanie?
a) 5
b) 7
c) 8
d) 9
e) 16
In parallelogram ABCD, angle B is 5 times as large as angle C. What is the measure, in degrees, of
angle C?
a) 30
b) 45
c) 80
d) 120
e) 150
A swimming pool can be filled through an inlet pipe in 3 hours. It can be drained by a drainpipe in 6
hours. If both pipes are fully open at the same time, and if the pool is empty, in how many hours will it
be filled?
a) 4
b) 4.5
c) 5
d) 5.5
e) 6
In the figure below, if DC = 12, what is the area of ABCD?
A
B
10
9
D
a) 99
b) 108
C
c) 1.12
117
d) 120
e) 50 3
[APTITUDE TEST PREPARATION]
NADEEM ARAIN ACADEMY
32)
An institute organized a fete and
1
1
of the girls and
of the boys participated in the same. What
5
8
fraction of the total number of students took part in the fete?
a)
33)
2
13
b)
Ph: 0333-2841680
13
40
c) Data inadequate
(N.I.F.T. 2000)
d) None of these
M is P% of what number?
a)
MP
100
b)
100P
M
c)
M
100P
d)
P
100M
e)
100M
P
34)
At ABC Corporation, five executives earn $150,000 each per year, three executives earn $170,000
each per year, and one executive earns $180,000 per year. What is the average salary of these
executives?
a) $156,250
b) $160,000
c) $164,480
d) $166,670
e) $170,000
35)
The denominator of a fraction is twice as large as the numerator. If 4 is added to both the numerator
and denominator, the value of the fraction is 58 . The denominator of the original fraction is
a) 6
b) 10
c) 12
d) 14
e) 16
36)
A farmer uses 140 feet of fencing to enclose a rectangular field. If the length of the field is
1
33 % greater than its width, what is the diagonal distance from one corner of the enclosure to the
3
opposite corner?
a) 10
37)
b) 20
c) 50
d) 70
e) 100
d) 5 7 − 8
e) 18 – 2 6
In the figure below, what is the length of DB?
A
20
15
17
C
a) 5 21 − 8
38)
D
b) 12
B
c) 8 3
If 25x2 = 4, then the possible values of x include
a)
4
4
and −
25
25
b)
2
2
and −
5
5
c) 2 and 5
d)
2
only
5
e) −
2
only
5
A rectangular tank 10” by 8” by 4” is filled with water. If all of the water is to be transferred to cubeshaped tanks, each one 3 inches on a side, how many of these smaller tanks are needed?
a) 9
b) 12
c) 16
d) 39
e) 21
40)
If 19x – 48 = x2, then the possible values of x include
a) 8 and6
b) 24 and 2
c) –16 and –3
d) 12 and 4
e) 16 and 3
39)
118