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प्रश्न
Two ropes, one 8 meters long and the other 12 meters long are to be cut into pieces of the same length. What will the maximum possible length of each piece be?
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उत्तर
Length of one rope = 8 m
Length of other rope = 12 m
The maximum possible length of each piece of rope of the same length that can be cut from the two given ropes is the HCF of 8 m and 12 m.
Factors of 8: 1, 2, 4, 8
Factors of 12: 1, 2, 3, 4, 6, 12
Common factors of 8 and 12: 1, 2, 4
HCF of 8 and 12 = 4
∴ Maximum possible length of each piece of rope of same length = 4 m
Thus, the maximum possible length of each piece of rope is 4 m.
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