If X = {all the perfect squares less than 40}

Y = {all the odd numbers fro, 1 to 15}. Find X ∩ Y.

• A. {3, 9}
• B. {9}
• C. {9, 25}
• D. {1, 9}

Find the size of each exterior angle of a regular octagon

• A. 51°
• B. 45°
• C. 40°
• D. 36°

Calculate the length of an arc of a circle diameter 14 cm, which substends an angle of 90° at the center of the circle

• A. 7π/2 cm
• B. 7π cm
• C. 14π cm
• D. 7π/4 cm

A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30o. Determine the height of the tower.

• A. 40√3/3m
• B. 20 m
• C. 40√3 m
• D. 40 m

In how many ways can 6 subjects be selected from 10 subjects for an examination

• A. 218
• B. 216
• C. 215
• D. 210

If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is

• A. -4/3
• B. -3/4
• C. 4/3
• D. 3/4

In a basket, 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. 6/30
• B. 5/30
• C. 17/30
• D. 11/30

A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus of P

• A. It is a semi circle with ST as diameter
• B. It is a perpendicular bisector of St
• C. It is a quadrant of a circle with ST as diameter
• D. It is a straight line perpendicular to ST

Simplify \(\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right)\)

• A. 4/5
• B. 7/10
• C. 6/6
• D. 21/6

Find the value of \(\frac{tan 60^o - tan 30^o}{tan 60^o + tan 30^o}\)

• A. \(\frac{4}{\sqrt{3}}\)
• B. \(\frac{2}{\sqrt{3}}\)
• C. 1
• D. \(\frac{1}{2}\)