Given that the universal set U={14,15,16,17,18,19,20}, J ={16,19,20} and K= {14,15,18}, find (J' ∩ K')1.

A. {17}

B. {16, 17, 19, 20}

C. {1, 4, 15, 17, 18}

D. {14, 15, 16, 18, 19, 20}

E. {14, 15, 16, 17, 18, 19, 20}

Evaluate 1.25 × 10\(^2\) × 0.125 × 10\(^3\) × 12.5 × 10\(^{-4}\) leaving your answer in standard form

A. 1.995 × 10³

B. 1.95 × 10²

C. 1.95 × 10¹

D. 1.95 × 10^-2

E. 1.95 × 10^-3

What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?

A. 7.07cm\(^3\)

B. 50.0cm\(^3\)

C. 125.0cm\(^3\)

D. 353.4cm\(^3\)

E. 625.0cm\(^3\)

A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone?

A. 9.0cm

B. 8.5cm

C. 7.2cm

D. 4.3cm

E. 3.0cm

If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?

A. T = (a²s² – 1)

B. T = (a²s²– 1) ÷ a

C. T = a ÷ (a² - s²)

D. T = a ÷ (a²s² – 1)

E. T = (as – 1)²

What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm?

A. 312cm\(^2\)

B. 96cm\(^2\)

C. 36cm\(^2\)

D. 24cm\(^2\)

E. 12cm\(^2\)

If sin 30° = 0.5, what is the cosine of its complement?

A. -0.866

B. -0.5

C. 0.0.5

D. 0.866

E. 1

A petrol attendant recorded the number of vehicles that bought petrol from him for -3 hours and recorded 12 cars and 27 buses. What is the probability that the next vehicle will be a bus?

A. \(\frac{4}{39}\)

B. \(\frac{4}{13}\)

C. \(\frac{5}{13}\)

D. \(\frac{6}{13}\)

E. \(\frac{9}{13}\)

Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords?

A. 7cm

B. 15cm

C. 22cm

D. 26cm

E. 30cm

The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?

A. 60m

B. 60\(\sqrt{3}\)m

C. 80\(\sqrt{3}\)m

D. 120\(\sqrt{3}\)m

E. 240m