2003 - JAMB Mathematics Past Questions and Answers - page 5
41
The sum of four numbers is 12145. What is the average expressed in base five?
A
114
B
141
C
401
D
411
correct option: b
Users' Answers & Comments42
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
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
{2, 10, 14, 22, 26}
B
{0, 10, 14, 22, 26}
C
{2,4, 14, 18, 26}
D
{0, 2, 6, 22, 26}
correct option: a
U = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
P = {6,12,18,24,30}
Q = {4,8,12,16,20,24,28}
P∪Q = {4,6,8,12,16,18,20,24,28,30}
(P∪Q)c = {2,10,14,22,26}
Users' Answers & CommentsP = {6,12,18,24,30}
Q = {4,8,12,16,20,24,28}
P∪Q = {4,6,8,12,16,18,20,24,28,30}
(P∪Q)c = {2,10,14,22,26}
43
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
3
B
4
C
6
D
9
correct option: c
\(x\infty\frac{UV}{U+V}\x = \frac{KUV}{U+V}\K = \frac{x(U+V)}{UV}\\frac{3(3+1)}{3\times1}\\frac{3\times4}{3}\K = 4\x=\frac{4UV}{U+V}\x=\frac{4\times 3\times3}{3+3}\x=\frac{36}{6}\x=6\)
Users' Answers & Comments44
Find the range of the value of x satisfying the inequalities 5 + x \(\leq\) 8 and 13 + x \(\geq\) 7
A
-3 \(\leq\) x \(\leq\) 3
B
3 \(\leq\) x \(\leq\) 6
C
-6 \(\leq\) x \(\leq\) 3
D
-6 \(\leq\) x \(\leq\) -3
correct option: c
5 + x \(\leq\) 8 and 13 + x \(\geq\) 7
5 + x \(\leq\) 8
X \(\leq\) 8 – 5
X \(\leq\) 3
And 13 + x \(\geq\) 7
X \(\geq\) 7 – 15
X \(\geq\) -7
Combining the two together
-6 \(\leq\) x \(\leq\) 3
Users' Answers & Comments5 + x \(\leq\) 8
X \(\leq\) 8 – 5
X \(\leq\) 3
And 13 + x \(\geq\) 7
X \(\geq\) 7 – 15
X \(\geq\) -7
Combining the two together
-6 \(\leq\) x \(\leq\) 3
45
The graph of the function y = x2 + 4 and a straight line PQ are drawn to solve the equation x2 - 3x + 2 = 0. What is the equation of PQ?
A
y = 3x - 2
B
y = 3x + 2
C
y = 3x - 4
D
y = 3x + 4