The lengths of the sides of triangle P are 3, 4 and 5 units. Another triangle Q, which is similar to P, has one side of length 60 units, what is the smallest possible perimeter of triangle Q?

1. 120 units

2. 144 units

3. 180 units

4. 240 units

Directions (Q. 41 to 44): These questions are based on the following information :

In the given figure, ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. It is given that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, QC = 4.5 cm and PQ = 2 cm.

41. The perimeter of ΔABC is:

1. 12 cm

2. 16 cm

3. 18 cm

4. 24 cm

42. The ratio of the areas of ΔAPQ and ΔABC is:

1. 1 : 3

2. 1 : 4

3. 1 : 9

4. 1 : 16

43. Which of the following holds true?

1. ΔAPQ ∼ ΔABC

2. ΔAQP ∼ ΔABC

3. ΔAPQ ∼ ΔACB

4. none of these

44. Which axiom of similarity applies in the above case?

1. AAA

2. AA

3. SSS

4. SAS