Final answer:
The smallest length of a rod that can be divided into equal sections of either 30 cm or 36 cm without leaving any remainder is the least common multiple of 30 and 36, which is 180 cm.
Step-by-step explanation:
he question is asking for the smallest length of a rod that can be divided into sections of either 30 cm or 36 cm without leaving any remainder. To find this length, we need to determine the least common multiple (LCM) of 30 and 36.
Here is how we can find the LCM of 30 and 36:
The LCM of 30 and 36 is 180 cm. Therefore, the smallest length of a rod that can be divided into equal sections of either 30 cm or 36 cm is 180 cm, which corresponds to option C.T
The smallest length of a rod that can be divided into equal sections of either 30 cm or 36 cm without leaving any remainder is the least common multiple of 30 and 36, which is 180 cm.