17
A. 0 B.
8 C. 8 D. 4
36.
If 6log
x
2
3log
x
3 = 3log
5
0.2, find x.
A.
3
4
B.
8
3
C.
3
8
D.
4
3
37.
Find p, if 451
6
p
7
= 305
6
A. 116
7
B. 62
7
C. 142
7
D. 611
7
38.
A farmer planted 5,000 grains of maize and
harvested 5,000 cobs, each bearing 500
grains. What is the rat
io of the number of
grains sowed to the number harvested.
A. 1 : 250,000
B. 1 : 25,000
C. 1 : 5,000
D. 1 : 500
39.
4
2
4
3
-
1
3
x
4
y
3
4
4
Find x and y respectively in the subtraction
above carried out in base 5.
A.
4, 3
B. 4, 2
C. 2, 4
D. 3, 2
40.
Given that
16
4
3
2
.
x
, find the value of x.
A. 3
B. 4
C. 6
D. 2
41.
The shaded region in the Venn diagram
above is
A. P
c
.
(Q
.
R)
B. P
c
.
(Q
.
R)
C. P
.
Q
D. P
c
.
(Q
.
R)
42.
Evaluate
4
1
5
3
2
1
4
1
3
2
10
1
.
.
.
.
A.
60
19
B.
12
7
C.
35
19
D.
25
2
43.
In a class of 40 students, each student
offers at least one of Physics
and Chemistry.
If the number of students that offer Physics
is three times the number that offers both
subjects and the number that offer
Chemistry is twice the number that offer
Physics, find the number of students that
offer Physics only.
A. 10
B. 5 C. 25 D. 15.
44.
Simplify
2
3
1
.
in the form a + b
.
3 .
A. 2 +
.
3
B.
2
-
.
3
C.
2 +
.
3
D. 2
-
.
3
45.
Three teachers shared a packet of chalk.
The first teacher got
2
/
5
of the chalk and the
second teacher received
2
/
15
of the
remainder. What fraction did the third
teacher receive.
A.
15
8
B.
25
13
C.
25
12
D.
25
11
46.
Find
the derivative of (2 + 3x)(1
x) with
respect to x.
A.
3
B. 6
C. 6x
1 D. 1
6x
47.
If y = 3cos
.
.
3
x
, find
dx
dy
when
2
3
.
.
x
.
A.
1
B.
3
C. 1
D. 2
48.
Evaluate
.
.
.
.
3
1
2
1
dx
x
.
A.
3
2
6
.
B.
3
2
6
C.
3
2
D.
3
2
.
49.
Find the derivative of the function y =
2x
2
(2x
1) at the point x =
-
1.
A.
4
B.
6
C. 18
D. 16
50.
What is the rate of change of volume v of a
hemisphere with respect to its radius r
when r = 2.
A. 4
.
B. 8
.
C. 16
.
D. 2
.
2004 Solutions
1.
Option D.
2.
Option B.