Find the maximum possible length which can be used th measure exactly the lengths 6m, 4m75cm and 10m25cma.2mb.0.35mc.0.5md.0.25m
Question
Find the maximum possible length which can be used to measure exactly the lengths 6m, 4m 75cm and 10m 25cm
a. 2m
b. 0.35m
c. 0.5m
d. 0.25m
Solution
The question is asking for the greatest common divisor (GCD) or highest common factor (HCF) of the three given lengths. The lengths are given in meters and centimeters, so first we need to convert everything to the same unit.
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Convert all measurements to the same unit. Here, we'll use centimeters (cm):
- 6m = 600cm
- 4m75cm = 475cm
- 10m25cm = 1025cm
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Now, find the GCD or HCF of 600cm, 475cm, and 1025cm.
The GCD or HCF of 600, 475, and 1025 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 (d) 0.25m.
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