Question : Two pipes of lengths of 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of the same size that can be cut from these two lengths will be:
Option 1: 0.13 metre
Option 2: 0.4 metre
Option 3: 0.3 metre
Option 4: 0.41 metre
Correct Answer: 0.3 metre
Solution :
Given: The lengths of the two pipes are 1.5 m and 1.2 m.
HCF of (1.5, 1.2) = HCF of ($\frac{15}{10}, \frac{12}{10}$) = $\frac{3}{10}$ = 0.3
So, the greatest length of the pipe of the same size that can be cut from these two lengths will be 0.3 m.
Hence, the correct answer is 0.3 m.
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