Find the distance between the point Q (4,3) and the point common to the lines 2x - y = 4 and x + y = 2

• A. 3√10
• B. 3√5
• C. √26
• D. √13

In a basket of fruits, there are 6 grapes, 11 bananas and 13 oranges, if one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

• A. \(\frac{17}{30}\)
• B. \(\frac{11}{30}\)
• C. \(\frac{6}{30}\)
• D. \(\frac{5}{30}\)

The angle of elevation of a building from a measuring instrument placed on the ground is 30o. If the building is 40m high, how far is the instrument from the foot of the building?

• A. \(\frac{20}{√3m}\)
• B. \(\frac{40}{√3m}\)
• C. 20√3m
• D. 40√3m

If \(y = x(x^4 + x + 1)\), evaluate \(\int \limits_{0} ^{1} y \mathrm d x\).

• A. \(\frac{11}{12}\)
• B. 1
• C. \(\frac{5}{6}\)
• D. zero

Find the simple interest rate percent per annum at which N1,000 accumulates to N1,240 in 3 years

• A. 6%
• B. 8%
• C. 10%
• D. 12%

In a triangle XYZ, if< ZYZ is 60, XY = 3cm and YZ = 4cm, calculate the length of the sides XZ.

• A. √23cm
• B. √13cm
• C. 2√5cm
• D. 2√3cm

Evaluate 64.7642 - 35.2362 correct to 3 significant figures

• A. 2960
• B. 2950
• C. 2860
• D. 2850

\(\frac{d}{dx}\) cos(3x\(^2\) - 2x) is equal to

• A. -sin(6x - 2)
• B. -sin(3x² - 2x)dx
• C. (6x - 2) sin(3x² - 2x)
• D. -(6x - 2)sin(3x² - 2x)

A chord of a circle of a diameter 42cm subtends an angle of 60o at the centre of the circle. Find the length of the mirror arc

• A. 22cm
• B. 44cm
• C. 110cm
• D. 220cm

A number is selected at random between 10 and 20, both numbers inclusive. Find the probability that the number is an even number

• A. \(\frac{5}{11}\)
• B. \(\frac{1}{2}\)
• C. \(\frac{6}{11}\)
• D. \(\frac{7}{10}\)