Four pupils have an average age of 12years and two other pupils of average age of 10.5years are added. What is the average age of the six pupils?

A. 10.5yrs.

B. 11yrs.

C. 11.5 yrs.

D. 12yrs.

E. 12.5yrs.

A bag contains p dozens of bananas and 3q of these proved to be bad. If I buy one third of the goods ones, how many do I get?

A. P -3q

B. \(\frac{1}{3}\) (p - 3q)

C. 3q

D. 4p - q

E. 12p - 3q

If log₁₀² = 0.3010 and log₁₀³ = 0.4771, simplify: (Log₁₀⁸-log₉²) ÷ (Log₁₀⁹ - log₁₀²)

A. 4

B. 3

C. 0.0784

D. -4

E. -0.0784

Find the value of t such that the expression \(\frac{1}{t}\) + \(\frac{4}{3}\) - \(\frac{5}{6t}\) + 1 is equal to zero

A. \(\frac{1}{6}\)

B. \(\frac{1}{4}\)

C. - \(\frac{3}{2}\)

D. \(\frac{7}{6}\)

E. \(\frac{2}{5}\)

One of the interior angles of a regular polygon is 120°. Find the number of sides of the polygon

A. 3

B. 4

C. 6

D. 9

E. 12

If cos x = 4/5, 0° \( \leq \) x \( \leq \) 90°, find the value of (1 + tan x)/(1 - tan x)

A. 9

B. 7

C. 4

D. \(\frac{7}{16}\)

E. \(\frac{9}{25}\)

Evaluate ut - \(\frac{1}{2}\)ft² when t = 5, u = -20 and f = 10

A. 225

B. 72

C. -75

D. -125

E. -225

Express the quotient of 0.422 and 0.004 in standard form

A. 1.055 × 10²

B. 10.55 × 10¹

C. 105 × 10⁰

D. 10.55 × 10^-1

E. 1.055 × 10^-2

The 4th term of a G.P is 3 and its first term is 81. What is its common ratio?

A. 3

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

C. \(\frac{1}{3}\)

D. -\(\frac{1}{3}\)

E. -3

If the mean of the following set of data, 2, 3,3,3, 2,4 4 and 3 is divided by its mode, the result is:

A. 1

B. 2

C. 3

D. 5

E. 8