Question

The length, breadth and height of a room are 1000 cm, 800 cm and 600cm respectively.The longest tape that can measure the three dimensions of the room exactly is A) 100 cm B) 200 cm C) 400 cm D) 600 cm

Answer 1

Answer:

To find the length of the longest tape which can measure the three dimensions of the room, we need to find the H.C.F of length, breadth and height of the room, i.e. 825, 675 and 450 cms respectively.

Let us factorise all three given dimensions.

825 = 3×5×5×11

675=3×3×3×5×5

450=2×3×3×5×5

Hence, 3, 5 and 5 are the common prime factors here.

So, H.C.F =3×5×5=75

Therefore, we need 75 cm longest tape to measure the three dimensions of the room