Write as a single fraction: \(\frac{5}{6r} - \frac{3}{4r}\)

• A. r/12
• B. 12/r
• C. 1/6r
• D. 1/12r

Two sets are disjoint if

• A. they are both empty
• B. their union is an empty set
• C. their intersection is an empty set
• D. one of them is a subset of the other

Solve the logarithmic equation: \(log_2 (6 - x) = 3 - log_2 x\)

• A. x = 4 or 2
• B. x = -4 or -2
• C. x = -4 or 2
• D. x = 4 or -2

Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. [Take ? = 3.142]

• A. 503.0cm³
• B. 300.0cm³
• C. 250.0cm³
• D. 226.2cm³

A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Find the equation of the straight line.

• A. y = (x/10) + 5
• B. y = x + 5
• C. √3y = - x + 5√3
• D. √3y = x + 5√3

Yinka and Segun have 120 oranges Yinka gets 16 oranges more than Segun. How many oranges has Segun?

• A. 60
• C. 26
• C. 68
• D. 52

(a) The speed of a moving bus reduced from 45m/s to 5m/s with a uniform retardation of 10m/s\(^2\). Calculate the distance covered.

(b) A bucket full of water with mass 16kg is pulled out of a well with a light inextensible rope. Find its acceleration when the tension in the rope is 240N. [Take g= 10m/s\(^2\)]

Find the range of values of x which satisfy the inequalities 4x - 7 ≤ 3x and 3x - 4 ≤ 4x

• A. -4 ≤ x ≤ 7
• B. -7 ≤ x ≤ 4
• C. x ≥ -7
• D. -7 ≤ x ≤ 6

Determine the value of x for which (x2 - 1)>0

• A. x< -1 or x > 1
• B. -1< x< 1
• C. x > 0
• D. x< -1

If 3214 is divided by 234 and leaves a remainder r, what is the value of r?

• A. zero
• B. 1
• C. 2
• D. 3