PROBLEM SOLVING
1.
In a
weight-lifting competition, the total weight of Joe's two lifts was 750 pounds.
If twice the weight of his first lift was 300 pounds more than the weight of
his second lift, what was the weight, in pounds, of his first lift?
(A)
225
(B)
275
(C)
325
(D)
350
(E)
400
2.
One hour after
Yolanda started walking from X to Y, a distance of 45 miles; Bob started
walking along the same road from Y to X. If Yolanda's walking rate was 3 miles
per hour and Bob's was 4 miles per hour, how many miles had Bob walked when
they met?
(A)
24
(B)
23
(C)
22
(D)
21
(E)
19.5
3.
The average
(arithmetic mean) of 6 numbers is 8.5. When one number is discarded, the
average of the remaining numbers becomes 7.2. What is the discarded number?
(A)
7.8
(B)
9.8
(C)
10.0
(D)
12.4
(E)
15.0
4.
In the rectangular coordinate system above, the area
of RST IS
5. Which of the
following equations has a root in common with x2 - 6x + 5 = 0?
(A) x2
+ I = 0
(B) x2
- x - 2 = 0
(C) x2
- 10x - 5 = 0
(D) 2x2
- 2 = 0
(E) x2
- 2x - 3 = 0
6.
One inlet pipe
fills an empty tank in 6 hours. A second inlet pipe fil1s the same tank in 3
hours. If both pipes are used together, how long will it take to fill
the
tank
(A) 9
(B) 8 hr
(C) 7
(D) 6hr
(E) 3
7.
During the first
week of September, a shoe retailer sold 10 pairs of a certain style of oxfords
at $35.00 a pair. If, during the second week of September, 15 pairs were sold
at the sale price of $27.50 a pair, by what amount did the revenue from weekly
sales of these oxfords increase during the second week?
(A)
$62.50
(B)
$75.00
(C)
$112.50
(D)
$137.50
(E)
$175.00
8.
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
9.
If x = -1, then find
– (-(x4 + x3 + x2 + x)
10.
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?
(A) 4
(B) 8
(C) 16
(D) 24
(E) 48
DATA INTERPRETATION
Direction (11-15) : Study the following graph
carefully
and answer the questions given below:
11.
What was the
percentage increase in the
Production
of C type vehicles from 1985 to 1986?
(A)
5
(B)
10
(C)
15
(D)
20
(E)
None of these
12.
The number of A
type vehicles produced in 1986
was what percent of the number of C type vehicles
produced in 1988?
(A)
33
(B)
66
(C)
50
(D)
15
(E)
None of these.
13.
In how many years
was the production of A type vehicles less than its average production over the
given years?
(A)
5
(B)
4
(C)
3
(D)
2
(E)
1
14.
What was average
number of B type vehicles produced by the company over the year s?
(A)
15,000
(B)
20,000
(C)
25,000
(D)
30,000
(E)
35,000
15.
In which of the
following years was the total production of all the three types of vehicles 60,000?
(A)
1985
(B)
1986
(C)
1987
(D)
1988
(E) 1989
QUANTITATIVE
COMPARISON
16.
L
Points x
and y lie on line L
Column A Column
B
The number of
points 2
on line L that
are twice
as far from x as
from y
17.
O is the centre of the circle, and angle POQ is a
right angle
Column
A Column
B
MN/PQ 2/1
18.
Column
A Column
B
Total savings on
$3.70
40 gallons of
fuel
bought at $1.152
per
gallon instead
of $1.245
19.
The cost of hiring props for the school play was
to be shared by 8 students. 4 more students decide to share the cost. The new
cost per person is $2 less.
Column
A Column
B
Total cost of hiring props $50
20.
A bag contains only red, white and blue balls.
One third of the balls are red, one fifth of the balls are white. One ball is
to be selected at random.
Column A Column
B
Probability of
drawing Probability of drawing
a white ball a blue ball