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, △ABC ~ △QPR.

The value of x is

1. 2.25 cm

2. 4 cm

3. 4.5 cm

4. 5.25 cm

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°

The adjoining figure, AB || DE. The length of CD is

1. 2.5 cm

2. 2.7 cm

3. $\dfrac{10}{3}$ cm

4. 3.5 cm