Jamb Mathematics 1979 Past Questions and Answers

Question 51:

• JAMB 1979

A father is now three times as old as his son. Twelve years ago he was six times as old as his son. How old are the son and the father?

A. 20 and 45
B. 100 and 150
C. 45 and 65
D. 35 and 75
E. 20 and 60

Question 52:

• JAMB 1979

If \(\sqrt{3^{\frac{1}{x}}}\) = \(\sqrt{9}\) then the value of x is:

A. \(\frac{3}{4}\)
B. \(\frac{4}{3}\)
C. \(\frac{1}{3}\)
D. \(\frac{2}{3}\)
E. \(\frac{1}{2}\)

Question 53:

• JAMB 1979

A man is standing in the corridor of a 10-storey building and looking down at a tall tree in front of the building. He sees the top of the tree at angle of depression of 30^o. If the tree is 200m tall and the man's eyes are 300m above the ground, calculate the angle of depression of the foot tree as seen by the man

A. 30^o
B. 60^o
C. 45^o
D. 25^o

Question 54:

• JAMB 1979

In the figure, \(\bigtriangleup\) ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to

A. 3\(\sqrt{2}\)
B. 2\(\sqrt{3}\)
C. \(\frac{\sqrt{3}}{2}\)
D. \(\frac{2}{\sqrt{3}}\)

Question 55:

• JAMB 1979

In this figure, PQRS is a parallelogram, PS = PT and < PST = 55\(^o\). The size of <PQR is

A. 125^o
B. 120^o
C. 115^o
D. 110^o
E. 10^o