Find the maximum possible length which can be used th measure exactly the lengths 6m, 4m75cm and 10m25cma.0.35mb.0.25mc.2md.0.5m
Question
Find the maximum possible length which can be used to measure exactly the lengths:
6m4m 75cm10m 25cm0.35m0.25m2m0.5m
Solution
To find the maximum possible length which can be used to measure exactly the lengths 6m, 4m75cm and 10m25cm, we need to find the greatest common divisor (GCD) of these three lengths.
First, we need to convert all lengths to the same unit. Here, we convert all lengths to centimeters:
- 6m = 600cm
- 4m75cm = 475cm
- 10m25cm = 1025cm
Now, we find the GCD of 600cm, 475cm and 1025cm. The GCD of these three numbers is 25cm.
So, the maximum possible length which can be used to measure exactly the lengths 6m, 4m75cm and 10m25cm is 25cm or 0.25m.
Therefore, the answer is b. 0.25m.
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