1994 - JAMB Mathematics Past Questions and Answers - page 3

21
\(\begin{array}{c|c} \oplus mod 10 & 2 & 4 & 6 & 8 \ \hline 2 & 4 & 8 & 2 & 6 \4 & 8 & 6 & 4 & 2\ 4 & 8 & 6 & 4 & 2\ 6 & 2 & 4 & 6 & 8\ 8 & 6 & 2 & 8 & 4\end{array}\)
The multiplication table above has modulo 10 on the set S = (2, 4, 6, 8). Find the inverse of 2
A
2
B
4
C
6
D
8
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22
Solve for x and y \(\begin{pmatrix} 1 & 1 \ 3 & y \end{pmatrix}\)\(\begin{pmatrix} x \ 1 \end{pmatrix}\) = \(\begin{pmatrix} 4 \ 1\end{pmatrix}\)
A
x = 3, y = 8
B
x = 3, y = -8
C
x = -8, y = 3
D
x = 8, y = -3
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23
The determination of the matrix \(\begin{pmatrix} 1 & 3 & 3 \ 4 & 5 & 6\ 2 & 0 & 1 \end{pmatrix}\) is
A
-67
B
-57
C
-3
D
3
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24
\(\begin{array}{c|c} \text{Age in years} & 10 & 11 & 12 \ \hline \text{Number of pupils} & 6 & 27 & 7\end{array}\)
The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?
A
\(\frac{27}{40}\)
B
\(\frac{17}{20}\)
C
\(\frac{33}{40}\)
D
\(\frac{3}{20}\)
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25
If three angles of a quadrilateral are (3y - x - z)o, 3xo, (2z - 2y - x)o find the fourth angle in terms of x, y and z
A
(360 - x- y - z)o
B
(360 + x + y - z)o
C
(180 - x + y + z)o
D
(180 - x + y + z)o
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26
An open rectangular box is made of wood 2cm thick. If the internal dimensions of the box are 50cm long, 36cm wide and 20cm deep, the box volume of wood in the box is
A
11 520cm3
B
36 000cm3
C
38 200cm3
D
47 520cm3
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27
Calculate the perimeter, in cm, of a sector of a circle of radius 8cm and angle 45o
A
2\(\pi\)
B
8 + 2\(\pi\)
C
16 + 2\(\pi\)
D
16 + 16\(\pi\)
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28
What is the locus of a point P which moves on one side of a straight line XY, so that the angle XPY is always equal to 90o?
A
the perpendicular bisector of XY
B
a right-angled triangle
C
a circle
D
a semi circle
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29
If M(4, q) is the mid-point of the line joining L(p, -2) and N(q, p). Find the values of p and q
A
P = 2, q = 4
B
p = 3, q = 1
C
p = 5, q = 3
D
p = 6, q = 2
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30
The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?
A
\(\frac{5√3m}{3}\)
B
5√3m
C
10√3m
D
\(\frac{10√3m}{3}\)
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