The variance of the scores 1, 2, 3, 4, 5 is

• A. 1, 2
• B. 1, 4
• C. 2.0
• D. 3.0

A uniform beam PQ of length 80 cm and weight 60 N rests on a support at X where | PX | = 30 cm. If the body is kept in equilibrium by a mass m kg which is placed at P , calculate the value of m [Take g = 10 ms^-2]

• A. 2.0
• B. 3.0
• C. 2.5
• D. 4.0

If x% of 240 equals 12, find x

• A. x = 1
• B. x = 3
• C. x = 5
• D. x = 7

If the mean of five consecutive integers is 30, find the largest of the numbers

• A. 28
• B. 30
• C. 32
• D. 34

In the diagram |PS| is a diameter of circle PQRS. |PQ| = |QR| and ?RSP = 74^o. Find ?QPS

• A. 32^o
• B. 37^o
• C. 48^o
• D. 53^o

Divide: \(a^{3x} - 26a^{2x} + 156a^{x} - 216\) by \(a^{2x} - 24a^{x} + 108\).

• A. a^x - 2
• B. a^x + 2
• C. a^x - 8
• D. a^x - 6

A kilometer is made up of ------meters.

• A. 100 meter
• B. 1000 meters
• C. 10 meters
• D. 10,000 meters

Which is the next number is the series? 18, 13, 9, 6, 4,.

• A. 1
• B. 2
• C. 3
• D. 4

A car dealer bought a second-hand car for N250,000 and spent N70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

• A. 60%
• B. 32%
• C. 25%
• D. 20%

Given that \(q = 9i + 6j\) and \(r = 4i - 6j\), which of the following statements is true?

• A. r and q are collinear
• B. r and q are perpendicular
• C. The magnitude of r is 52 units
• D. The projection of r on q is \(\sqrt{117}\) units.