27
8.
Given that log2 = 0.3010, log7 = 0.8451,
evaluate log 112.
A.
2.1461
B.
2.0491
C.
3.1461
D.
2.5441
9.
Rationalize
3
5
5
3
2
.
.
.
A.
11
15
3
.
B.
2
11
15
3
.
C.
11
15
3
.
D.
2
11
15
3
.
10.
Express the product of 0.21 and 0.34 in
standard form
A.
7.14 x 10
-
2
B.
7.14 x 10
-
1
C.
7.14 x 10
-
4
D. 7.14 x 10
-
3
11.
Which of the Venn diagrams below
represents P
.
.
Q
.
R
.
.
12.
In a
survey of 50 newspaper readers, 40
read Champion and 30 read Guardian, how
many read both papers.
A.
10
B. 5 C. 20 D. 15
13.
Make Q the subject of the formula if
.
.
1
5
.
.
.
Q
X
M
P
.
A.
M
MX
P
5
5
.
.
B.
M
MX
P
5
5
.
.
C.
M
MX
P
5
5
.
.
D.
M
MX
P
5
5
.
.
14.
If 9x
2
+ 6xy + 4y
2
is a factor of 27x
3
–
8y
3
,
find the other factor.
A.
2y + 3x
B.
2y
–
3x
C.
3x + 2y
D.
3x
–
2y
15.
Factorize completely
8
2
10
3
2
2
3
.
.
.
x
x
x
x
.
A.
.
.
.
.
2
2
5
.
.
x
x
x
B.
.
.
.
.
2
2
5
.
.
x
x
x
C.
.
.
.
.
2
2
5
.
.
x
x
x
D.
4
2
5
2
.
.
x
x
16.
Solve for x and y if x
–
y = 2 and
x
2
–
y
2
= 8.
A.
(
-
1, 3)
B.
(3, 1)
C.
(
-
3, 1)
D. (1, 3)
17.
If y varies directly as the square root of x
and y = 3 when x = 16, calculate
y when x =
64.
A.
6
B.
12 C.
3 D.
5
18.
If x is inversely proportional to y and x =
2½ when y =2, find x if y = 4.
A.
4
B.
5
C.
4
1
1
D.
4
1
2
19.
For what range of values of x is
.
2
1
3
1
4
1
2
1
.
.
.
x
x
A.
2
3
.
x
B.
2
3
.
x
C.
2
3
.
.
x
D.
2
3
.
.
x
20.
Solve the inequalities
-
6
.
4
–
2x < 5
–
x.
A.
-
1 < x < 5
B.
-
1 < x
.
5
C.
-
1
.
x
.
6
D.
-
1
.
x < 6
21.
Find the sum
of infinity of the following
series. 0.5 + 0.05 + 0.005 + 0.0005 + …
A.
8
5
B.
7
5
C.
11
5
D.
9
5
22.
The 3rd term of an arithmetic progression is
-
9 and the 7th term is
-
29
. Find the 10th
term of the progression.
A.
-
44
B.
-
165
C. 165 D.
44
23.
If x * y = x + y
2
, find the value of
(2 * 3) * 5.
A.
25
B.
11
C.
55
D. 36
24.
If p and q are two non zero numbers and
18(p + q) = (18 + p)q, which of the following
must be
true.
A.
p < 1
B. p = 18
C.
q < 1
D.
q = 18
25.
If
,
15
7
2
3
.
x
find the value of x.
A.
4
B.
5
C.
2
D. 3