PROBLEM
SOLVING
1. 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%
(B) 19%
(C) 18%
(D) 11%
(E) 10%
2.
If 2/(1+2/y)
= 1,then y =
3. If a rectangular photograph
that is 10 inches wide by 15 inches long is to be enlarged so that the width
will be 22 inches and the ratio of width to length will be unchanged, then the
length, in inches, of the enlarged photograph will be
(A) 33
(B) 32
(C) 30
(D) 27
(E) 25
(B) 32
(C) 30
(D) 27
(E) 25
4.
If m is an integer such that (-2)^2m=2^(9-m), then m=
(A) 1
(B) 2
(C) 3
(D) 4
(E) 6
5.
If 0<x
and y < 12, which of the following CANNOT
be the value of xy?
(A) – 2
(B) 1
(C) 6
(D) 24
(E) 48
6.
In the figure above, V represents an observation
point at one end of a pool. From V, an object that is actually located
on the bottom of the pool at point R appears to be at point S. If VR = 10 feet, what is the
distance RS, in feet, between
the actual position and the perceived position of the object?
(A) 10 – 5
(B) 10 – 5
(C) 2
(D) 2 ½
(E) 4
7. If the total payroll expense of a certain business in year Y was $84,000,
which was 20 percent more than in year X, what was the total payroll
expense
in year X?
in year X?
(A) $70,000
(B) $68,320
(C) $64.000
(D) $60,000
(E) $52,320
(B) $68,320
(C) $64.000
(D) $60,000
(E) $52,320
8.
If a, b and c are consecutive
positive integers and a < b < c, which of the following must be true? (SELECT
ALL POSSIBLE ANSWERS)
abc is an even integer.
(a+b+c)/3
9.
A straight pipe yard in
length was marked off in fourths and also in thirds. If the pipe was then cut
into separate pieces at each of these markings, which of the following gives
all the different lengths of the pieces, in fractions of of a yard?
(A)
1/6 and 1/4 only
(B) 1/4 and 1/3
(C) 1/6,1/4 and 1/3 only
(D) 1/12 ,
(E)
10. What is the least integer that is a sum of three different primes each
greater than 20?
DATA
INTERPRETATION
Directions
(11-15) Study the following graph carefully and answer the questions given
below it.
11. What was the percent increase in export value
from 1983 to 1986?
(A) 100
(B) 25.9
(C) 37.5
(D) 135
(E) 85
12. What was the difference between the pieces of garments
exported in 1984 and 1985?
(A) 80,
00,000
(B)
8,00,000
(C)
8,00,00,000
(D) 8,000
(E) None
13. What was
the approximate percentage drop in export quantity from 1983 to 1984?
(A) 22
(B) 18
(C) 40
(D) 82
(E) 95
14. If in 1987 the garments were exported at the
same rate per piece as that in 1985, what could be the approximate value in cores
of rupees of exports in 1987?
(A) 1040
(B) 726
(C) 934
(D) 732
(E) 786
15. In which
of the given years the value per piece was minimum?
(A) 1987
(B) 1984
(C) 1985
(D) 1986
(E) 1983
QUANTITATIVE
COMPARISON
16.
45 per cent of n = 60
Column A Column
B
90 per cent of n 120
17.
Column A Column
B
The time it
would take The time it would take
to drive 80
miles at an to drive 60 miles at an
average speed of
average speed of
60 miles per hour
45 mile an hour
18.
Column A Column
B
Twice the volume
of Volume of a cube of
a cube of side 1
side 2
19.
Column A Column
B
-1 (-1) -1
+(-1)
20.
Column A Column
B
75,410 rounded
to 75,410 rounded to the
the nearest
hundred nearest thousand