In the given figure, two line segments AC and BD intersect each other at point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = 50° and ∠CDP = 30°. Then ∠PBA = ?

1. 30°

2. 50°

3. 60°

4. 100°

ABCD is a trapezium with AB parallel to DC. Then the triangle similar to ΔAOB is:

1. ΔACB

2. ΔADB

3. ΔCOB

4. ΔCOD

If in triangles ABC and DEF, ∠A = ∠E = 40°, AB : ED = AC : EF and ∠F = 65°, then ∠B is equal to :

1. 35°

2. 65°

3. 75°

4. 85°

In the given figure, AB ∥ CD and OA = (2x + 4) cm, OB = (9x − 21) cm, OC = (2x − 1) cm and OD = 3 cm. Then x equals:

1. 2.1

2. 3

3. 4

4. 6