Question

Three measuring rods are 50 cm, 1m and 1.2 m in length. What is the least length of cloth that can be measured exact number of times, using any of the rods?

• A. 300
• B. 1200
• C. 600
• D. 120

Answer 1

The correct option is C

600

$1$ m = $100$ cm

$1.2$ m = $120$ cm

The least length of the cloth that can be measured exact number of times is equal to the LCM of $50,100$ and $120$.

$50=2\times 5\times 5$

$100=2\times 2\times 5\times 5$

$120=2\times 2\times 2\times 5\times 3$

LCM of $50,100$ and $120$ is $2\times 2\times 2\times 5\times 5\times 3=600$