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Question

Three friends go on a walk, Their steps measure 50 cm, 25 cm, and 20 cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?

A
50 cm
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B
100 cm
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C
160 cm
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D
200 cm
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Solution

The correct option is B 100 cm
To find the minimum distance they shoudl cover, inorder to complete same distance ,
we need to find the least common multiple of 50, 25, 40
multiples of 50 = 50, 100, 150..
Multiples of 25 = 25, 50, 75, 100, 125..
Multiples of 20 = 20, 40, 60, 80, 100, 120...
The least common multiple here is 100
so the minimum equal distance they can all cover = 100cm

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