PROBLEM
SOLVING
1.
If Mario was 32 years old 8 years ago, how old
was he x years ago?
(A) x - 40
(B) x - 24
(C) 40 - x
(D) 24 - x
(E) 24 + x
2.
Running at the same constant rate, 6 identical
machines can produce a total of 270 bottles per minute. At this rate, how many
bottles could 10 such machines produce in 4 minutes?
(A)
648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800
3.
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 business partners for the year?
(A) $26,000
(B) $30,000
(C) $52,000
(D) $60,000
(E) $300,000
4.
Of the five coordinates associated with points
A, B, C, D, and E on the number line above, which has the greatest absolute
value?
(A) A
(B) B
(C) C
(D) D
(E) E
5.
A restaurant meal cost $35.50 and there was no
tax. If the tip was more than 10 percent but less than 15 percent of the cost
of the meal, then the total amount paid must have been between
(A) $40
and $42
(B) $39 and $41
(C) $38 and $40
(D) $37 and $39
(E) $36 and $37
6.
Harriet wants to put up fencing around three
sides
of her rectangular yard and leave
a side of 20 feet
unfenced. If the yard has an area
of 680 square feet,
how many feet of fencing does she
need?
(A) 34
(B) 40
(C) 68
(D) 88
(E) 102
7.
If u > t, r > q, s > t, and t > r,
which of the following must be true? (SELECT
ALL POSSIBLE ANSWERS)
ð
u > s
ð
s > q
ð
u > r
8.
Increasing the original price of an article by
15 percent and then increasing the new price by 15 percent is equivalent to
increasing the original price by
(A) 32.25%
(B) 31.00%
(C) 30.25%
(D) 30.00%
(E) 22.50%
9.
If k is an integer and 0.0010101 x 10k
is greater than 1,000, what is the least possible value of k?
10.
If (b - 3 )( 4 +2/b
) = 0 and b not equal to 3, then b =
(A) – 8
(B) – 2
(C) - ½
(D) ½
(E) 2
DATA
INTERPRETATION
Directions
(11 - 15): The table below gives the production capacity (in thousands units)
and the percent utilization in respect of three products (A, B and C) over five
years for an organization. Study the table carefully and answer the questions
that follow.
11.
Approximately, what was the overall utilization
for all products taken together for the year 1993?
(A) 50 %
(B) 55 %
(C) 60 %
(D) 65 %
(E) 70 %
12.
What is the approximate overall growth rate in
respect of total capacity for the period shown?
(A) 5 %
(B) 10 %
(C) 15 %
(D) 20 %
(E) 25 %
13.
In which of the following years was the
production of product A the maximum for all period shown?
(A) 19 93
(B) 19 97
(C) 19 96
(D) 19 94
(E) 1995
14.
What is the average production of product B over
the period shown?
(A) 21,600
(B) 24,200
(C) 34,600
(D) 28,800
(E) 23, 400
15.
In which of the following years was the
production of product C the minimum for the period shown?
(A) 19 97
(B) 19 94
(C) 19 93
(D) 19 96
(E) 1995
QUANTITATIVE COMPARISON
16.
ab = 0
Column A Column
B
a 0
17.
-1 < x < 0
Column A Column
B
X3 x5
18.
The average of
four numbers is 30. The average of three of these numbers is 20.
Column A Column
B
The value of
the 60
fourth number
19.
In a triangle ABC, AC > CB > AB, where AB=c,CB=a, AC=b.
Column
A Column
B
b a
20.
The line containing point A is rotated 90 degrees
anticlockwise about the origin, O.
Column
A Column
B
The y
coordinate of The y coordinate of
point A
before rotation. point A after rotation.