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1991 - JAMB Mathematics Past Questions and Answers - page 5

41

From a point Z, 60 m north of X, a man walks 60√3m eastwards to another point Y. Find the bearing of Y from X.

A
0.30o
B
045o
C
060o
D
090o
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42

Find the total area of the surface of a solid cylinder whose base radius is 4cm and height is 5cm

A
56\(\pi\) cm2
B
72\(\pi\) cm2
C
96\(\pi\) cm2
D
192\(\pi\) cm2
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43

3% of a family's income is spent on electricity, 58% on food, 20% on transport, 11% on education and 7% on extended family. The angles subtended at the centre of the pie chart under education and food are respectively

A
76.8o and 25.2o
B
10.8o and 224.6o
C
112.4o and 72.0o
D
39.6o and 212.4o
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44

Fifty boxes each of 50 bolts were inspected for the number which were defective. The following was the result

(\begin{array}{c|c} \text{No. defective per box} & 4 & 5 & 6 & 7 & 8 & 9 \ \hline \text{No. of boxes} & 2 & 7 & 17 & 10 & 8 & 6\end{array})

The mean and the median of the distribution are respectively

A
6.7, 6
B
7.6, 5
C
5.7, 87
D
34, 6
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45

Fifty boxes each of 50 bolts were inspected for the number which were defective. The following was the result

(\begin{array}{c|c} \text{No. defective per box} & 4 & 5 & 6 & 7 & 8 & 9 \ \hline \text{No. of boxes} & 2 & 7 & 17 & 10 & 8 & 6\end{array})

Find the percentage of boxes containing at least 5 defective bolts each

A
96
B
94
C
92
D
90
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46

A crate of soft drinks contains 10 bottles of Coca-cola, 8 of Fanta and 6 of sprite. If one bottle is selected at random, what is the probability that it is NOT a Cocacola bottle?

A
\(\frac{5}{12}\)
B
\(\frac{1}{3}\)
C
\(\frac{3}{4}\)
D
\(\frac{7}{24}\)
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47
In the figure above, Find the value of x
A
130o
B
110o
C
100o
D
90o
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48
PMN and PQR are two secants of the circle MQTRN and PT is a tangent. If PM = 5cm, PN = 12cm and PQ = 4.8cm, calculate the respective lengths of PR and PT in centimeters
A
7.3, 5.9
B
7.7, 12.5
C
12.5, 7.7
D
5.9, 7.3
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