A box contain 2 white and 3 blue identical balls. If two balls are picked at random, one after the other, without replacement, what is the probability of picking two balls of different colours?

A. \(\frac{5}{25}\)

B. \(\frac{7}{20}\)

C. \(\frac{3}{5}\)

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

E. \(\frac{5}{6}\)

In ∆PQR. ∠PQR is a right angle. |QR| = 2cm and ∠PRQ = 60^o. Find |PR|

A. 4√3cm

B. 4cm

C. 2√3cm

D. \(\frac{4}{3}cm\)

E. 1cm

In the diagram, PQ||SR. Find the value of Z

A. 30^o

B. 40^o

C. 45^o

D. 90^o

E. 120^o

In \(sin(X+30)^o=cos40^o\),find X

A. 10^o

B. 20^o

C. 50^o

D. 60^o

E. 90^o

Find the value of X if \(cos x = \frac{5}{8}\) for \(0^o\le X\le 180^o\)

A. 141.3^o

B. 128.7^o

C. 51.3^o

D. 48.7^o

E. 38.7^o

A ladder 5cm long long rest against a wall such that its foot makes an angle 30^o with the horizontal. How far is the foot of the ladder from the wall?

A. \(\frac{5\sqrt{2}}{3}m\)

B. \(2\frac{1}{2}m\)

C. \(\frac{5\sqrt{3}}{2}m\)

D. \(\frac{10\sqrt{3}}{3}m\)

E. \(10\sqrt{3}m\)

A chord of circle of radius 26cm is 10cm from the center of the circle. calculate the length of the chord

A. 16cm

B. 27.86cm

C. 32cm

D. 48cm

E. 55.72cm

Two chords PQ and RS of a circle intersected at right angles at a point inside the circle. If ∠QPR = 35^o,find ∠PQS

A. 35^o

B. 45^o

C. 55^o

D. 70^o

E. 90^o

In the diagram, O is the center of the circle and the reflex angle ROS is 264^o. Find ∠RTS

A. 48^o

B. 53^o

C. 66^o

D. 132^o

E. 192^o

If the exterior angles of quadrilateral are y^o, (y + 5)^o, (y + 10)^o and (y + 25)^o, find y

A. 10^o

B. 20^o

C. 40^o

D. 60^o

E. 80^o