Jamb Mathematics 1991 Past Questions and Answers

Question 41:

• JAMB 1991

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

Question 42:

• JAMB 1991

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. \(\frac{7}{12}\)

Question 43:

• JAMB 1991

In the figure above, Find the value of x

A. 130^o
B. 110^o
C. 100^o
D. 90^o

Question 44:

• JAMB 1991

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

Question 45:

• JAMB 1991

PMN and PQR are two secants of the circle MQTRN and PT is a tangent. If PNR = 110^o and PMQ = 55^o, find MPQ

A. 40^o
B. 30^o
C. 25^o
D. 15^o