Question

1. The length, breadth and height of a room are

825cm, 675cm and 450cm respectively. Determine

the length of the longest rod which can measure the

three dimensions of the room exactly. (3 marks)

2. On MG road, three consecutive traffic lights

change after 36, 42 and 72 seconds. If the lights are

first switched on at 9:00am, at what time will they

change simultaneously?(2 marks)
I will mark as genius​​

Answer 1

Step-by-step explanation:

Length = 825 cm = 3 × 5 × 5 × 11

Breadth = 675 cm = 3 × 3 × 3 × 5 × 5

Height = 450 cm = 2 × 3 × 3 × 5 × 5

Longest tape = HCF of 825, 675, and 450 = 3 × 5 × 5 = 75 cm

Therefore, the longest tape is 75 cm.