Jamb Mathematics 1991 Past Questions and Answers

Question 36:

• JAMB 1991

If cos x = \(\sqrt{\frac{a}{b}}\) find cosec x

A. \(\frac{b}{\sqrt{b - a}}\)
B. \(\sqrt{\frac{b}{a}}\)
C. \(\sqrt{\frac{b}{b - a}}\)
D. \(\sqrt{\frac{b - a}{a}}\)

Question 37:

• JAMB 1991

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. 0.30^o
B. 045^o
C. 060^o
D. 090^o

Question 38:

• JAMB 1991

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

Question 39:

• JAMB 1991

3% of a family's income is spent on electricity, 59% 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. 76.8^o and 25.2^o
B. 10.8^o and 224.6^o
C. 112.4^o and 72.0^o
D. 39.6^o and 212.4^o

Question 40:

• JAMB 1991

Fifty boxes each of 50 bolts were inspected for the number which were defective. The following was the result
\(\begin{array}{c|c} \text{No. defective per box} & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline \text{No. of boxes} & 2 & 7 & 17 & 10 & 8 & 6\end{array}\)
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