A man is five times as old as his son. In four years' time, the product of their ages would be 340. If the son's age is y, express the product of their ages in terms of y.

A. 5y\(^2 - 16y - 380 = 0\)

B. 5y\(^2 - 24y - 380 = 0\)

C. 5y\(^2 - 16y - 330 = 0\)

D. 5y\(^2 - 24y - 324 = 0\)

Simplify; \(\frac{a}{b} - \frac{a}{a} - \frac{c}{b}\)

A. \(\frac{a - b + c}{ab}\)

B. \(\frac{ab - bc - ac}{ab}\)

C. \(\frac{a^2 - b^2 + ac}{ab}\)

D. \(\frac{a^2 - b^2 - ac}{ab}\)

In the diagram, XYZ is an equilateral triangle of side 6cm and Y is the midpoint of \(\overline{XY}\). Find tan (< XZT)

A. \(\frac{1}{\sqrt{3}}\)

B. \(\frac{\sqrt{3}}{2}\)

C. \(\sqrt{3}\)

D. \(\frac{1}{2}\)

A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence.

A. 76.11\(^o\)

B. 53.67\(^o\)

C. 52.40\(^o\)

D. 51.32\(^o\)

Fati buys milk at ₦x per tin sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receives from the sales?

A. ₦(xy + 10)

B. ₦(x + 10y)

C. ₦(10x + y)

D. ₦10(x + y)

If tan y is positive and sin y is negative, in which quadrant would y lie?

A. First and third only

B. First and second only

C. Third only

D. Second only

The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm\(^3\), how high is the pyramid?

A. 10cm

B. 6cm

C. 8cm

D. 7cm

Each interior angle of a regular polygon is 168\(^o\). Find the number of sides of the polygon

A. 30

B. 36

C. 24

D. 18

In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50\(\^o\)). Find the value of < NPQ

A. 200\(^o\)

B. 150\(^o\)

C. 120\(^o\)

D. 90\(^o\)

The length of an arc of a circle of radius 3.5 cm is 1\(\frac{19}{36}\) cm. Calculate, correct to the nearest degree , the angle substended by the centre of the circle. [Take \(\pi = \frac{22}{7}\)]

A. 55\(^o\)

B. 36\(^o\)

C. 25\(^o\)

D. 22\(^o\)