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
\(\frac{7}{36}\)
correct option: b
\(\begin{array}{c|c} & & 1 & 2 & 3 & 4 & 5 & 6 \ \hline a & 1 & 1, 1 & 1, 2 & 1, 3 & 1, 4 & 1, 5 & 1, 6\\hline & 2 & 1,1 & 2, 2 & 2, 3 & 2, 4 & 2, 5 & 2, 6 \\hline B & 3 & 3, 1 & 3, 2 & 3, 3 & 3, 4 & 3, 5 & 3, 6\\hline & 4 & 4 , 1 & 4, 2 & 4, 3 & 4, 4 & 4, 5 & 4, 6\\hline Die & 5 & 5, 1 & 5, 2 & 5, 3 & 5, 4 & 5, 5 & 5, 6 \\hline & 6 & 6, 1 & 6, 2 & 6, 3 & 6, 4 & 6, 5 & 6, 6\end{array}\)
Probability of obtaining total score of 8 = \(\frac{5}{36}\)
Users' Answers & CommentsProbability of obtaining total score of 8 = \(\frac{5}{36}\)
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
\(\frac{11}{12}\)
correct option: c
Users' Answers & Comments43
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
correct option: c
Users' Answers & Comments44
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
correct option: b
Users' Answers & Comments45
A
1, 0, -4
B
-2, 2, -4
C
0, 1, -4
D
2, -2, -4
correct option: a
Given the graph and the curve y = ax2 + bx + c the roots are x - 2 and 2 while its equation (x + 2)(x - 2) = y
y = x2 - 4 i.e. y = x2 + 0x - 4
a = 1, b = 0 and c = -4
Users' Answers & Commentsy = x2 - 4 i.e. y = x2 + 0x - 4
a = 1, b = 0 and c = -4
46
A
130o
B
120o
C
75o
D
30o
correct option: a
Users' Answers & Comments47
A
QS = PS\(\sqrt{SR}\)
B
QS = \(\sqrt{(PS SR)}\)
C
QS = 2\(\sqrt{(PS SR)}\)
D
QS = \(\frac{1}{\sqrt{2}}\)\(\sqrt{(PS SR)}\)
correct option: b
Users' Answers & Comments48
A
9(\(\pi - 2) cm^2\)
B
18\(\pi cm^2\)
C
9\(\pi cm^2\)
D
36\(\pi cm^2\)
correct option: a
Area of the quadrant = \(\frac{1}{4} \pi r^2 = \frac{1}{4} \pi (6)^2\)
= \(\frac{36 \pi}{4} = 9 \pi \)
Area of the triangle = \(\frac{1}{2} \times 6 = 18 \times \sin 90^o = 18\)
Area of shaded portion =(9 \(\pi \) - 18)cm^2\) =
9(\(\pi - 2)cm^2\).
Users' Answers & Comments= \(\frac{36 \pi}{4} = 9 \pi \)
Area of the triangle = \(\frac{1}{2} \times 6 = 18 \times \sin 90^o = 18\)
Area of shaded portion =(9 \(\pi \) - 18)cm^2\) =
9(\(\pi - 2)cm^2\).
49
A
10
B
10(1 - \(\frac{1}{\sqrt{3}}\))
C
10(1 - \(\frac{1}{\sqrt{2}}\))
D
10[1 - \(\sqrt{3}\)]
correct option: b
Users' Answers & Comments