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1992 - JAMB Mathematics Past Questions and Answers - page 5

41
Two perfect dice are thrown together, Determine the probability of obtaining a total score of 8
A
\(\frac{1}{12}\)
B
\(\frac{5}{36}\)
C
\(\frac{1}{6}\)
D
\(\frac{7}{36}\)
42
The probability of an event P is \(\frac{3}{4}\) while that of another event Q is \(\frac{1}{6}\). If the probability of both P and Q is \(\frac{1}{2}\). What is the probability of either P or Q.
A
\(\frac{1}{96}\)
B
\(\frac{1}{8}\)
C
\(\frac{5}{6}\)
D
\(\frac{11}{12}\)
43
Five people are to be arranged in a row for a group photograph. How many arrangements are the if a married couple in the group insist on sitting next to each other?
A
48
B
24
C
20
D
10
44
A student has 5 courses to take from Mathematics and physics. There are 4 courses in Mathematics and 3 in Physics which he can choose his courses so that he takes exactly two courses in Physics?
A
48
B
12
C
10
D
7
45
The sketch is the curve of y = ax2 + bx + c. Find a, b and c respectively
A
1, 0, -4
B
-2, 2, -4
C
0, 1, -4
D
2, -2, -4
46
In the figure, TSP = 1052 and PRQ = 202. Find PQR
A
130o
B
120o
C
75o
D
30o
47
In the figure, PQr is a semicircle while PQ and Qr are chords. QS is the perpendicular from Q to the diameter PR. What is the expression for QS?
A
QS = PS\(\sqrt{SR}\)
B
QS = \(\sqrt{(PS SR)}\)
C
QS = 2\(\sqrt{(PS SR)}\)
D
QS = \(\frac{1}{\sqrt{2}}\)\(\sqrt{(PS SR)}\)
48
The diagram is a circle with centre O. Find the area of the shaded portion
A
9(\(\pi - 2) cm^2\)
B
18\(\pi cm^2\)
C
9\(\pi cm^2\)
D
36\(\pi cm^2\)
49
In the figure, if XZ is 10cm, calculate RY in cm
A
10
B
10(1 - \(\frac{1}{\sqrt{3}}\))
C
10(1 - \(\frac{1}{\sqrt{2}}\))
D
10[1 - \(\sqrt{3}\)]