10
UTME 2003
Questions
-
Type 9
1.
In a class of 40 students, 32 offer
Mathematics, 24 offer Physics and 4
offer
neither Mathematics nor Physics. How
many offer both Mathematics and Physics.
A. 4 B. 8 C. 16 D. 20
2.
If
1
1
2
27
9
.
.
x
x
= 1, find the value of x.
A. 3 B. 8 C. 2 D. 5
3.
Simplify
32
50
98
.
A.
4
1
B.
2
1
C. 3 D. 1
4.
Simplify 1
–
(2
5
3
)
4
1
1
3
1
.
.
A.
-
2
15
7
B.
-
1
15
1
C.
-
2
60
31
D.
-
1
60
19
5.
Simplify
213
4
x 23
4
A.10321
4
B.12231
4
C.13211
4
D. 10311
4
6.
Given:
U={Even numbers between 0 and 30}
P = { Multiples of 6 between 0 and 30}
Q = { Multiples of 4 between 0 and 30}
Find (P
.
Q)
c
.
A. {0, 2, 6,22,26}
B.
{2,10,14,22, 26}
C. {0, 10, 14, 22, 26}
D. {2, 4, 14, 18, 26}
7.
The sum of four numbers is 1214
5
. What is
the average expressed in base five.
A. 411 B. 401 C. 114 D. 141
8.
Find
1
042
.
0
1
06
.
0
1
.
.
.
.
.
.
.
.
, correct to
two decimal places
A. 3.14 B.
1.43 C. 1.53 D. 4.42
9.
Evaluate
32
log
16
log
4
log
4
2
2
1
.
.
A. 2.5 B. 5.5 C.
–
5.5 D.
–
2.5
10.
A woman buys 270 oranges for
N
1,800.00
and sells at 5 for
N
40.00.
What is her profit.
A. N1,620.00
B. N630.00
C. N360.00
D.
N2,160.00
11.
A cinema hall contains a certain number of
people. If 22
2
1
% are children, 47
2
1
% are
men and 84 are women, find the number of
men in the hall.
A. 113 B. 133 C. 84 D. 63
12.
Find the v
alues of x and y respectively if
3x
–
5y + 5 = 0 and 4x
–
7y + 8 = 0
A. 4, 5
B. 5, 4
C.
–
5,
–
4
D.
–
4,
–
5
13.
If
5
4
3
3
1
4
2
.
.
.
x
x
x
,
find the value of x.
A.
–
5 B.
–
2 C. 2 D. 5
14.
Find the range of values of x satisfying the
inequalities 5 + x
.
8 and 13 + x
.
7.
A.
–
6
.
x
.
–
3
B.
–
6
.
x
.
3
C.
–
3
.
x
.
3
D. 3
.
x
.
6
15.
x varies directly as the product of u and v
and inversely as their sum. If x = 3 when u =
3 and
v = 1, what is the value of x if u = 3
and v = 3.
A. 9 B. 3 C. 4 D. 6
16.
Three consecutive terms of a geometric
progression are given as n
–
2, n and n +
3. Find the common ratio.
A.
2
3
B.
3
2
C.
2
1
D.
4
1
17.