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

1. 50°

2. 30°

3. 60°

4. 100°

In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE, then the two triangles are

1. congruent but not similar

2. similar but not congruent

3. neither congruent nor similar

4. congruent as well as similar

In the adjoining figure, DE || BC and all measurements are in centimeters. The length of AE is

1. 2 cm

2. 2.25 cm

3. 3.5 cm

4. 4 cm

If △PQR ~ △ABC, PQ = 6 cm, AB = 8 cm and perimeter of △ABC is 36 cm, then perimeter of △PQR is

1. 20.25 cm

2. 27 cm

3. 48 cm

4. 64 cm