1995 - JAMB Mathematics Past Questions and Answers - page 2
11
if x - 1 and x + 1 are both factors of the equation x 3 + px2 + qx + 6 = 0, evaluate p and q
A
-6, -1
B
6, 1
C
1, -1
D
6, -6
correct option: a
Users' Answers & Comments12
Finds a positive value of p if the expression 2x2 - px + p leaves a remainder 6 when divided by x - p and q
A
1
B
2
C
3
D
4
13
Find T in terms of K, Q and S if S = 2r(\(\piQT + K)
A
\(\frac{S^2}{2 \pi r^2Q} - \frac{k}{Q}\)
B
\(\frac{S^2}{2 \pi r^2Q}\) - k
C
\(\frac{S^2}{4 \pi r^2Q} - \frac{k}{Q}\)
D
\(\frac{s^2}{4 \pi r^2Q}\)
correct option: b
\(\frac{s^2}{4r^2}\) = QT\(\pi\) + KT
\(\frac{s^2}{4r^2}\) - k\(\pi\) = QT\(\pi\)
T = \(\frac{s^2}{4Q\pi r^2}\) - k
Users' Answers & Comments\(\frac{s^2}{4r^2}\) - k\(\pi\) = QT\(\pi\)
T = \(\frac{s^2}{4Q\pi r^2}\) - k
14
The graph of f(x) = x2 - 5x + 6 crosses the x-axis at the points
A
(-6, 0), (-1, 0)
B
(-3, 0), (-2,0)
C
(-6, 0),(1, 0)
D
(2, 0), (3, 0)
15
Factorize completely the expression abx2 + 6y - 3ax - 2byx
A
(ax - 2y)(bx - 3)
B
(bx + 3)(2y - ax)
C
(bx + 3)(ax - 2y)
D
(ax - 2y)(ax - b)
correct option: a
Users' Answers & Comments16
Solve the inequality (x - 3)(x - 4) \(\leq\) 0
A
3 \(\leq\) x \(\leq\) 4
B
3 < x < 4
C
3 \(\leq\) x < 4
D
3 < x \(\leq\) 4
correct option: a
(x - 3)(x - 4) \(\leq\) 0
Case 1 (+, -) = x - 3 \(\geq\) 0, X - 4 \(\geq\) 0
= X \(\leq\) 3, x \(\geq\) 4
= 3 < x \(\geq\) 4 (solution)
Case 2 = (-, +) = x - 3 \(\leq\) 0, x - 4 \(\geq\) 0
= x \(\leq\) 3, x \(\geq\) 4
therefore = 3 \(\leq\) x \(\leq\) 4
Users' Answers & CommentsCase 1 (+, -) = x - 3 \(\geq\) 0, X - 4 \(\geq\) 0
= X \(\leq\) 3, x \(\geq\) 4
= 3 < x \(\geq\) 4 (solution)
Case 2 = (-, +) = x - 3 \(\leq\) 0, x - 4 \(\geq\) 0
= x \(\leq\) 3, x \(\geq\) 4
therefore = 3 \(\leq\) x \(\leq\) 4
17
The 4th term of an A.P. is 13 while the 10th term is 31. Find the 21st term.
A
175
B
85
C
64
D
45
correct option: c
a + 3d = 13
a + 9d = 31
6d = 18
= d = 3
a = 13 - 9
= 4
a + 20d = 4 + (20 x 3)
= 64
Users' Answers & Commentsa + 9d = 31
6d = 18
= d = 3
a = 13 - 9
= 4
a + 20d = 4 + (20 x 3)
= 64
18
Simplify \(\frac{x^2 - 1}{x^3 + 2x^2 - x - 2}\)
A
\(\frac{1}{x + 2}\)
B
\(\frac{x - 1}{x + 1}\)
C
\(\frac{x - 1}{x + 2}\)
D
\(\frac{1}{x - 2}\)
correct option: a
\(\frac{x^2 - 1}{(x - 1)(x + 2)(x + 1)}\) = \(\frac{(x -
1)(x + 1)}{(x - 1)(x + 2)(x + 1)}\)
= \(\frac{1}{x + 2}\)
Users' Answers & Comments1)(x + 1)}{(x - 1)(x + 2)(x + 1)}\)
= \(\frac{1}{x + 2}\)
19
Express \(\frac{5x - 12}{(x - 2)(x - 3)}\) in partial fractions
A
\(\frac{2}{x - 2} - \frac{3}{x - 3}\)
B
\(\frac{2}{x - 2} + \frac{3}{x - 3}\)
C
\(\frac{2}{x - 2} - \frac{3}{x - 2}\)
D
\(\frac{5}{x - 3} - \frac{4}{x - 2}\)
correct option: b
Users' Answers & Comments20
Which of the following binary operations is cumulative in the set of integers?
A
a \(\ast\) b = a + 2b
B
a \(\ast\) b = a + b - ab
C
a \(\ast\) b = a2 + b
D
a \(\ast\) b = \(\frac{a(b + 1)}{2}\)
correct option: c
Users' Answers & Comments