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Question

Three measuring rods are 50 cm, 1m and 1.2 m in length. What is the least length of cloth that can be measured exact number of times, using any of the rods?


A

300

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B

1200

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C

600

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D

120

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Solution

The correct option is C

600


1 m = 100 cm

1.2 m = 120 cm

The least length of the cloth that can be measured exact number of times is equal to the LCM of 50,100 and 120.

50=2×5×5

100=2×2×5×5

120=2×2×2×5×3

LCM of 50,100 and 120 is 2×2×2×5×5×3=600


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